2026
Cedric Igelspacher; Roderich Tumulka; Cornelia Vogel
Grand-Canonical Typicality Journal Article
In: J Stat Phys, vol. 193, no. 9, 2026, ISSN: 1572-9613.
@article{Igelspacher2026,
title = {Grand-Canonical Typicality},
author = {Cedric Igelspacher and Roderich Tumulka and Cornelia Vogel},
doi = {10.1007/s10955-026-03656-5},
issn = {1572-9613},
year = {2026},
date = {2026-09-00},
journal = {J Stat Phys},
volume = {193},
number = {9},
publisher = {Springer Science and Business Media LLC},
abstract = {Abstract
We study how the grand-canonical density matrix arises in macroscopic quantum systems. “Canonical typicality” is the known statement that for a typical wave function
$$Psi $$
Ψ
from a micro-canonical energy shell of a quantum system
S
weakly coupled to a large but finite quantum system
B
, the reduced density matrix
$$hat{rho }^S_Psi ={{,textrm{tr},}}^B |Psi rangle langle Psi |$$
ρ
^
Ψ
S
=
tr
B
|
Ψ
⟩
⟨
Ψ
|
is approximately equal to the canonical density matrix
$$hat{rho }_textrm{can}=Z^{-1}_textrm{can}exp (-beta hat{H}^S)$$
ρ
^
can
=
Z
can
-
1
exp
(
-
β
H
^
S
)
. Here, we discuss the analogous statement and related questions for the
grand-canonical
density matrix
$$hat{rho }_textrm{gc}=Z^{-1}_textrm{gc}exp (-beta (hat{H}^S-mu _1 hat{N}_{1}^S-ldots -mu _rhat{N}_{r}^S))$$
ρ
^
gc
=
Z
gc
-
1
exp
(
-
β
(
H
^
S
-
μ
1
N
^
1
S
-
…
-
μ
r
N
^
r
S
)
)
with
$$hat{N}_{i}^S$$
N
^
i
S
the number operator for molecules of type
i
in the system
S
. This includes (i) the case of chemical reactions (which requires some novel considerations) and (ii) that of systems
S
defined by a spatial region which particles may enter or leave. It includes statements about how
$$hat{rho }_textrm{gc}$$
ρ
^
gc
arises from the density matrix of the appropriate (generalized micro-canonical) Hilbert subspace
$$mathscr {H}_textrm{gmc}subset mathscr {H}^S otimes mathscr {H}^B$$
H
gmc
⊂
H
S
⊗
H
B
(defined by a micro-canonical interval of total energy and suitable particle number sectors) or from typical
$$Psi $$
Ψ
in
$$mathscr {H}_textrm{gmc}$$
H
gmc
, as well as statements about the distribution of the (conditional) wave function
$$psi ^S$$
ψ
S
of
S
, which turns out to be a so-called GAP or Scrooge measure. That is, we discuss the foundation and justification of both the density matrix and the distribution of the wave function in the grand-canonical case. To this end (particularly for the chemical reactions), we also need to extend these considerations to the so-called generalized Gibbs ensembles, which apply to systems for which some macroscopic observables are conserved.
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We study how the grand-canonical density matrix arises in macroscopic quantum systems. “Canonical typicality” is the known statement that for a typical wave function
from a micro-canonical energy shell of a quantum system
weakly coupled to a large but finite quantum system
, the reduced density matrix
is approximately equal to the canonical density matrix
. Here, we discuss the analogous statement and related questions for the
density matrix
with
the number operator for molecules of type
in the system
. This includes (i) the case of chemical reactions (which requires some novel considerations) and (ii) that of systems
defined by a spatial region which particles may enter or leave. It includes statements about how
arises from the density matrix of the appropriate (generalized micro-canonical) Hilbert subspace
(defined by a micro-canonical interval of total energy and suitable particle number sectors) or from typical
in
, as well as statements about the distribution of the (conditional) wave function
of
, which turns out to be a so-called GAP or Scrooge measure. That is, we discuss the foundation and justification of both the density matrix and the distribution of the wave function in the grand-canonical case. To this end (particularly for the chemical reactions), we also need to extend these considerations to the so-called generalized Gibbs ensembles, which apply to systems for which some macroscopic observables are conserved.
Sven Bachmann; Severin Schraven; Jacob Shapiro; Simone Warzel
Fractional Hall Conductance of Laughlin States from a Topological Index Preprint
2026.
@preprint{bachmann2026fractionalhallconductancelaughlin,
title = {Fractional Hall Conductance of Laughlin States from a Topological Index},
author = {Sven Bachmann and Severin Schraven and Jacob Shapiro and Simone Warzel},
url = {https://arxiv.org/abs/2608.27767},
year = {2026},
date = {2026-08-27},
urldate = {2026-08-27},
abstract = {We provide a rigorous Laughlin-pump argument that establishes the fractional quantization of the Hall conductance directly from the Laughlin state as a topological index. Our proof uses a recently defined index of a pair of pure states together with an infinite matrix product state analysis that is rigorous on a sufficiently thin cylinder. By virtue of the connection to an index, our result implies, in particular, that Laughlin states are representatives of topologically stable fractional quantum Hall phases.},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Antonia Freibert; Sebastian Eckert; Vinícius Vaz da Cruz; Alexander Föhlisch; Nils Huse
2026.
@preprint{Freibert2026RIXSDiazines,
title = {Understanding Resonant Inelastic X-ray Scattering Experiments of Diazines via Quantum Dynamics Simulation},
author = {Antonia Freibert and Sebastian Eckert and Vinícius Vaz da Cruz and Alexander Föhlisch and Nils Huse},
url = {https://doi.org/10.26434/chemrxiv.15002315.v1},
doi = {10.26434/chemrxiv.15002315.v1},
year = {2026},
date = {2026-04-01},
urldate = {2026-04-01},
publisher = {ChemRxiv},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Timo Feistl; Severin Schraven; Simone Warzel
Mermin-Wagner theorems for quantum systems with multipole symmetries Preprint
2026.
@preprint{feistl2026merminwagnertheoremsquantumsystems,
title = {Mermin-Wagner theorems for quantum systems with multipole symmetries},
author = {Timo Feistl and Severin Schraven and Simone Warzel},
url = {https://arxiv.org/abs/2601.23078},
year = {2026},
date = {2026-01-30},
urldate = {2026-01-30},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Marius Lemm; Bruno Nachtergaele; Simone Warzel; Amanda Young
Recursive spectral relations and the charge vs neutral gap in fractional quantum Hall systems Journal Article
In: Journal of Mathematical Physics, vol. 67, no. 1, pp. 011901, 2026, ISSN: 0022-2488.
@article{10.1063/5.0292975,
title = {Recursive spectral relations and the charge vs neutral gap in fractional quantum Hall systems},
author = {Marius Lemm and Bruno Nachtergaele and Simone Warzel and Amanda Young},
url = {https://doi.org/10.1063/5.0292975},
doi = {10.1063/5.0292975},
issn = {0022-2488},
year = {2026},
date = {2026-01-01},
journal = {Journal of Mathematical Physics},
volume = {67},
number = {1},
pages = {011901},
abstract = {We consider quantum lattice Hamiltonians and derive recursive spectral relations bridging successive particle number sectors. One relation gives conditions under which the charge gap dominates the neutral gap. We verify these conditions under a triad of symmetries (translation-invariance, charge and dipole conservation) that are present, e.g., in periodic fractional quantum Hall systems. Thus, this gap domination, previously observed numerically, is a universal feature imposed by symmetry. A second relation yields a new induction-on-particle-number method for deriving spectral gaps. The results cover both bosons and fermions.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Severin Schraven; Simone Warzel
Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications Preprint
2026.
@preprint{schraven2026fractionalquantumhallstates,
title = {Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications},
author = {Severin Schraven and Simone Warzel},
url = {https://arxiv.org/abs/2601.12165},
year = {2026},
date = {2026-01-01},
urldate = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Luca Schmid; Dominik Sulz; Shrinivas Chimmalgi; Laurent Schmalen
2026.
@preprint{Schmid2026TensorTrainBayesianInference,
title = {A Tensor-Train Framework for Bayesian Inference in High-Dimensional Systems: Applications to MIMO Detection and Channel Decoding},
author = {Luca Schmid and Dominik Sulz and Shrinivas Chimmalgi and Laurent Schmalen},
url = {https://arxiv.org/abs/2604.05890},
doi = {10.48550/arXiv.2604.05890},
year = {2026},
date = {2026-01-01},
urldate = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Florian Haberberger; Lukas Junge
A second order upper bound to the free energy of the two dimensional Bose gas Preprint
2026.
@preprint{Haberberger2026SecondOrderBoseGas,
title = {A second order upper bound to the free energy of the two dimensional Bose gas},
author = {Florian Haberberger and Lukas Junge},
url = {https://arxiv.org/abs/2604.10270},
doi = {10.48550/arXiv.2604.10270},
year = {2026},
date = {2026-01-01},
urldate = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Sebastian Merk; Caroline Lasser
Structure-Preserving Integration for Magnetic Gaussian Wave Packet Dynamics Preprint
2026.
@preprint{Merk2026MagneticGaussianWavePackets,
title = {Structure-Preserving Integration for Magnetic Gaussian Wave Packet Dynamics},
author = {Sebastian Merk and Caroline Lasser},
url = {https://arxiv.org/abs/2603.25596},
doi = {10.48550/arXiv.2603.25596},
year = {2026},
date = {2026-01-01},
urldate = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
László Erdős; Joscha Henheik; Cornelia Vogel
Normal typicality and dynamical typicality for a random block-band matrix model Journal Article
In: Letters in Mathematical Physics, vol. 116, no. 1, pp. 5, 2026.
@article{Erdos2026RandomBlockBandTypicality,
title = {Normal typicality and dynamical typicality for a random block-band matrix model},
author = {László Erdős and Joscha Henheik and Cornelia Vogel},
url = {https://doi.org/10.1007/s11005-025-02037-5},
doi = {10.1007/s11005-025-02037-5},
year = {2026},
date = {2026-01-01},
journal = {Letters in Mathematical Physics},
volume = {116},
number = {1},
pages = {5},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Stefan Teufel; Marius Wesle
A note on Hall conductance and Hall conductivity in interacting Fermion systems Journal Article
In: Journal of Mathematical Physics, vol. 67, no. 2, pp. 021902, 2026.
@article{Teufel2026HallConductanceConductivity,
title = {A note on Hall conductance and Hall conductivity in interacting Fermion systems},
author = {Stefan Teufel and Marius Wesle},
url = {https://doi.org/10.1063/5.0295422},
doi = {10.1063/5.0295422},
year = {2026},
date = {2026-01-01},
journal = {Journal of Mathematical Physics},
volume = {67},
number = {2},
pages = {021902},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Lennart Becker; Stefan Teufel; Marius Wesle
Automorphic equivalence within gapped phases of infinitely extended fermion systems Journal Article
In: Journal of Functional Analysis, vol. 290, no. 11, pp. 111421, 2026.
@article{Becker2026AutomorphicEquivalenceFermionSystems,
title = {Automorphic equivalence within gapped phases of infinitely extended fermion systems},
author = {Lennart Becker and Stefan Teufel and Marius Wesle},
url = {https://doi.org/10.1016/j.jfa.2026.111421},
doi = {10.1016/j.jfa.2026.111421},
year = {2026},
date = {2026-01-01},
journal = {Journal of Functional Analysis},
volume = {290},
number = {11},
pages = {111421},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Cedric Igelspacher; Roderich Tumulka; Cornelia Vogel
Grand-Canonical Typicality Preprint
2026.
@preprint{Igelspacher2026GrandCanonicalTypicality,
title = {Grand-Canonical Typicality},
author = {Cedric Igelspacher and Roderich Tumulka and Cornelia Vogel},
url = {https://arxiv.org/abs/2601.03253},
doi = {10.48550/arXiv.2601.03253},
year = {2026},
date = {2026-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Tim Möbus; Jorge Sánchez-Segovia; Álvaro M. Alhambra; Ángela Capel
Stability of thermal equilibrium in long-range quantum systems Journal Article
In: Physical Review Research, vol. 8, pp. 013198, 2026.
@article{Mobus2026StabilityThermalLongRange,
title = {Stability of thermal equilibrium in long-range quantum systems},
author = {Tim Möbus and Jorge Sánchez-Segovia and Álvaro M. Alhambra and Ángela Capel},
url = {https://doi.org/10.1103/3wbz-lq3p},
doi = {10.1103/3wbz-lq3p},
year = {2026},
date = {2026-01-01},
journal = {Physical Review Research},
volume = {8},
pages = {013198},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Arnaud Triay; Leo Morin; Lukas Junge; Marco Olivieri; Søren Fournais; Theotime Girardot
The free energy of dilute Bose gases at low temperatures interacting via strong potentials Journal Article
In: Annales Henri Poincaré, 2026.
@article{Triay2026FreeEnergyStrongPotentials,
title = {The free energy of dilute Bose gases at low temperatures interacting via strong potentials},
author = {Arnaud Triay and Leo Morin and Lukas Junge and Marco Olivieri and Søren Fournais and Theotime Girardot},
url = {https://doi.org/10.1007/s00023-026-01676-1},
doi = {10.1007/s00023-026-01676-1},
year = {2026},
date = {2026-01-01},
journal = {Annales Henri Poincaré},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Arnaud Triay; Benjamin Schlein; Christian Hainzl; Florian Haberberger
Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature Journal Article
In: Advances in Mathematics, vol. 490, pp. 110825, 2026.
@article{Triay2026UpperBoundFreeEnergyDiluteBose,
title = {Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature},
author = {Arnaud Triay and Benjamin Schlein and Christian Hainzl and Florian Haberberger},
url = {https://doi.org/10.1016/j.aim.2026.110825},
doi = {10.1016/j.aim.2026.110825},
year = {2026},
date = {2026-01-01},
journal = {Advances in Mathematics},
volume = {490},
pages = {110825},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Anouar Kouraich; Simone Warzel
Lower bound on the mixing time of p-spin glasses Preprint
2026.
@preprint{kouraich2026lowerboundmixingtime,
title = {Lower bound on the mixing time of p-spin glasses},
author = {Anouar Kouraich and Simone Warzel},
url = {https://arxiv.org/abs/2605.14681},
year = {2026},
date = {2026-01-01},
urldate = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Sebastian Stengele; Ángela Capel; Li Gao; Angelo Lucia; David Pérez-García; Antonio Pérez-Hernández; Cambyse Rouzé; Simone Warzel
Modified logarithmic Sobolev inequalities for Abelian quantum double models Preprint
2026.
@preprint{stengele2026modifiedlogarithmicsobolevinequalities,
title = {Modified logarithmic Sobolev inequalities for Abelian quantum double models},
author = {Sebastian Stengele and Ángela Capel and Li Gao and Angelo Lucia and David Pérez-García and Antonio Pérez-Hernández and Cambyse Rouzé and Simone Warzel},
url = {https://arxiv.org/abs/2605.19640},
year = {2026},
date = {2026-01-01},
urldate = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Peter S. Madsen; Phan Thành Nam; Herbert Spohn; Minh-Binh Tran
On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas Preprint
2026.
@preprint{madsen2026asymptoticbehaviorkinetictime,
title = {On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas},
author = {Peter S. Madsen and Phan Thành Nam and Herbert Spohn and Minh-Binh Tran},
url = {https://arxiv.org/abs/2605.13499},
year = {2026},
date = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Rupert L. Frank; Christian Hainzl; Dong Hao Ou Yang
From Bogoliubov-de Gennes to Ginzburg-Landau: Critical Points Near $T_rm c$ in the Non-Magnetic Case Preprint
2026.
@preprint{frank2026bogoliubovdegennesginzburglandaucritical,
title = {From Bogoliubov-de Gennes to Ginzburg-Landau: Critical Points Near $T_rm c$ in the Non-Magnetic Case},
author = {Rupert L. Frank and Christian Hainzl and Dong Hao Ou Yang},
url = {https://arxiv.org/abs/2605.26008},
year = {2026},
date = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Yoon Jun Chan; Markus Heydenreich; Sabine Jansen
Markov Renewal Theory for Transfer Operators and Point Processes on the Line Preprint
2026.
@preprint{chan2026markovrenewaltheorytransfer,
title = {Markov Renewal Theory for Transfer Operators and Point Processes on the Line},
author = {Yoon Jun Chan and Markus Heydenreich and Sabine Jansen},
url = {https://arxiv.org/abs/2605.21638},
year = {2026},
date = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Chokri Manai; Simone Warzel
2026.
@preprint{manai2026quantumalmeidathoulesslineselfoverlapcorrected,
title = {The quantum Almeida-Thouless line in the self-overlap-corrected quantum Sherrington-Kirkpatrick model},
author = {Chokri Manai and Simone Warzel},
url = {https://arxiv.org/abs/2605.19800},
year = {2026},
date = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Alain Joye; Andreas Schaefer; Simone Warzel
Dynamical Localization for General Scattering Quantum Walks Preprint
2026.
@preprint{joye2026dynamicallocalizationgeneralscattering,
title = {Dynamical Localization for General Scattering Quantum Walks},
author = {Alain Joye and Andreas Schaefer and Simone Warzel},
url = {https://arxiv.org/abs/2602.12760},
year = {2026},
date = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Anouar Kouraich; Chokri Manai; Simone Warzel
The Quantum Random Energy Model is the Limit of Quantum $ p $-Spin Glasses Preprint
2026.
@preprint{kouraich2026quantumrandomenergymodel,
title = {The Quantum Random Energy Model is the Limit of Quantum $ p $-Spin Glasses},
author = {Anouar Kouraich and Chokri Manai and Simone Warzel},
url = {https://arxiv.org/abs/2505.02458},
year = {2026},
date = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Douglas Garratt; Antonia Freibert; Kristjan Kunnus; David J. Hoffman; Matthew Bain; Benjamin I. Poulter; Christina Hampton; Georgi Dakovski; Giacomo Coslovich; Mina R. Bionta; Kacie J. Nelson; Oliver Alexander; Shubhadeep Biswas; Sonia Coriani; Felix Egun; Daniel Jost; Victoria Kabanova; Katharina Kubicek; Mate Kurucz; Amke Nimmrich; Hirohito Ogasawara; Debkumar Rana; Michael Sachs; Lingjia Shen; Zhaoyuan Yang; Zhong Yin; Hans Jakob Wörner; Oriol Vendrell; Jon P. Marangos; Matthias Kling; Philippe Wernet; Erik T. J. Nibbering; Amy A. Cordones; Nils Huse; Thomas J. A. Wolf; Kelly Gaffney
Ultrafast RIXS Reveals Excited State Orbital and Spin Character of Solvated Organic Molecules Journal Article
In: ChemRxiv, vol. 2026, no. 0601, 2026.
@article{doi:10.26434/chemrxiv.15004173/v1,
title = {Ultrafast RIXS Reveals Excited State Orbital and Spin Character of Solvated Organic Molecules},
author = {Douglas Garratt and Antonia Freibert and Kristjan Kunnus and David J. Hoffman and Matthew Bain and Benjamin I. Poulter and Christina Hampton and Georgi Dakovski and Giacomo Coslovich and Mina R. Bionta and Kacie J. Nelson and Oliver Alexander and Shubhadeep Biswas and Sonia Coriani and Felix Egun and Daniel Jost and Victoria Kabanova and Katharina Kubicek and Mate Kurucz and Amke Nimmrich and Hirohito Ogasawara and Debkumar Rana and Michael Sachs and Lingjia Shen and Zhaoyuan Yang and Zhong Yin and Hans Jakob Wörner and Oriol Vendrell and Jon P. Marangos and Matthias Kling and Philippe Wernet and Erik T. J. Nibbering and Amy A. Cordones and Nils Huse and Thomas J. A. Wolf and Kelly Gaffney},
url = {https://chemrxiv.org/doi/abs/10.26434/chemrxiv.15004173/v1},
doi = {10.26434/chemrxiv.15004173/v1},
year = {2026},
date = {2026-01-01},
journal = {ChemRxiv},
volume = {2026},
number = {0601},
abstract = {The excited state photophysics of heteroatomic organic molecules are determined by the interplay between internal conversion and intersystem crossing. Experimental techniques which can access both orbital and spin character of the electronic excited states in detail are crucial for a mechanistic understanding of these processes. In this work, we demonstrate the required sensitivity to excited-state orbital and spin character with femtosecond time-resolved resonant inelastic x-ray scattering (RIXS). We apply the method to probe the excited state photophysics of pyrazine in aqueous solution at the nitrogen K-edge. We clearly separate the dynamics of two singlet and two triplet excited states and identify a new mechanism for the intersystem crossing of pyrazine involving the dark Au(nπ*) state.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Paul Pfeiffer; Wolfgang Spitzer
Entanglement entropy of ground states of the Landau Hamiltonian on the half-plane Preprint
2026.
@preprint{pfeiffer2026entanglemententropygroundstates,
title = {Entanglement entropy of ground states of the Landau Hamiltonian on the half-plane},
author = {Paul Pfeiffer and Wolfgang Spitzer},
url = {https://arxiv.org/abs/2607.09467},
year = {2026},
date = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Tristan Benoist; Sascha Lill; Cornelia Vogel
Invariant measures of randomized quantum trajectories Preprint
2026.
@preprint{benoist2026invariantmeasuresrandomizedquantum,
title = {Invariant measures of randomized quantum trajectories},
author = {Tristan Benoist and Sascha Lill and Cornelia Vogel},
url = {https://arxiv.org/abs/2603.28664},
year = {2026},
date = {2026-01-01},
urldate = {2026-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
2025
Michael Aizenman; Simone Warzel
Entanglement Entropy Bounds for Pure States of Rapid Decorrelation Journal Article
In: Communications in Mathematical Physics, vol. 406, pp. 171, 2025.
@article{Aizenman2025EntanglementEntropyBounds,
title = {Entanglement Entropy Bounds for Pure States of Rapid Decorrelation},
author = {Michael Aizenman and Simone Warzel},
url = {https://doi.org/10.1007/s00220-025-05324-3},
doi = {10.1007/s00220-025-05324-3},
year = {2025},
date = {2025-06-23},
journal = {Communications in Mathematical Physics},
volume = {406},
pages = {171},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Frederik Ravn Klausen; Simone Warzel
Decoherence is an Echo of Anderson Localization in Open Quantum Systems Journal Article
In: Annales Henri Poincare, vol. 26, pp. 3665–3693, 2025.
@article{Klausen2025DecoherenceEchoAndersonLocalization,
title = {Decoherence is an Echo of Anderson Localization in Open Quantum Systems},
author = {Frederik Ravn Klausen and Simone Warzel},
url = {https://doi.org/10.1007/s00023-024-01528-w},
doi = {10.1007/s00023-024-01528-w},
year = {2025},
date = {2025-01-18},
journal = {Annales Henri Poincare},
volume = {26},
pages = {3665–3693},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Amanda Young
Quantum Spin Systems Book Section
In: Encyclopedia of Mathematical Physics, pp. 111–124, Elsevier, Oxford, 2025.
@incollection{Young2025QuantumSpinSystems,
title = {Quantum Spin Systems},
author = {Amanda Young},
url = {https://doi.org/10.1016/B978-0-323-95703-8.00049-5},
doi = {10.1016/B978-0-323-95703-8.00049-5},
year = {2025},
date = {2025-01-01},
booktitle = {Encyclopedia of Mathematical Physics},
pages = {111–124},
publisher = {Elsevier},
address = {Oxford},
edition = {2},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
Sebastian Stengele; Ángela Capel; Li Gao; Angelo Lucia; David Pérez-García; Antonio Pérez-Hernández; Cambyse Rouzé; Simone Warzel
Modified Logarithmic Sobolev Inequalities for CSS Codes Preprint
2025.
@preprint{Stengele2025ModifiedLogSobolevCSSCodes,
title = {Modified Logarithmic Sobolev Inequalities for CSS Codes},
author = {Sebastian Stengele and Ángela Capel and Li Gao and Angelo Lucia and David Pérez-García and Antonio Pérez-Hernández and Cambyse Rouzé and Simone Warzel},
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doi = {10.48550/arXiv.2510.03090},
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Duc Viet Hoang; David Mitrouskas; Peter Pickl
Derivation of the time-dependent Hartree equations for strongly interacting dense fermionic systems Preprint
2025.
@preprint{Hoang2025HartreeDenseFermions,
title = {Derivation of the time-dependent Hartree equations for strongly interacting dense fermionic systems},
author = {Duc Viet Hoang and David Mitrouskas and Peter Pickl},
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Nicholas Hunter-Jones; Marius Lemm
Two classes of quantum spin systems that are gapped on any bounded-degree graph Preprint
2025.
@preprint{HunterJones2025GappedBoundedDegreeGraph,
title = {Two classes of quantum spin systems that are gapped on any bounded-degree graph},
author = {Nicholas Hunter-Jones and Marius Lemm},
url = {https://arxiv.org/abs/2509.22438},
doi = {10.48550/arXiv.2509.22438},
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Simon Larson; Rupert L. Frank
Spectral Asymptotics for Robin Laplacians on Lipschitz Sets Journal Article
In: Functional Analysis and Its Applications, vol. 59, pp. 277–296, 2025.
@article{Larson2025RobinLaplaciansLipschitz,
title = {Spectral Asymptotics for Robin Laplacians on Lipschitz Sets},
author = {Simon Larson and Rupert L. Frank},
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Søren Fournais; Rupert L. Frank; Magnus Goffeng; Ayman Kachmar; Mikael Sundqvist
Counting negative eigenvalues for the magnetic Pauli operator Journal Article
In: Duke Mathematical Journal, vol. 174, no. 2, pp. 313–353, 2025.
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title = {Counting negative eigenvalues for the magnetic Pauli operator},
author = {Søren Fournais and Rupert L. Frank and Magnus Goffeng and Ayman Kachmar and Mikael Sundqvist},
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August Bjerg; Jan Philip Solovej
Periodicity of Atomic Structure in a Thomas-Fermi Mean-Field Model Journal Article
In: Communications in Mathematical Physics, vol. 406, no. 11, pp. 258, 2025.
@article{Bjerg2025ThomasFermiPeriodicity,
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Paulo J. Paulino; Stefan Teufel; Federico Carollo; Igor Lesanovsky
Adiabatically driven dissipative many-body quantum spin systems Preprint
2025.
@preprint{Paulino2025AdiabaticallyDrivenDissipativeSpin,
title = {Adiabatically driven dissipative many-body quantum spin systems},
author = {Paulo J. Paulino and Stefan Teufel and Federico Carollo and Igor Lesanovsky},
url = {https://arxiv.org/abs/2509.12075},
doi = {10.48550/arXiv.2509.12075},
year = {2025},
date = {2025-01-01},
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Stefan Teufel; Tom Wessel
Lieb-Robinson bounds, automorphic equivalence and LPPL for long-range interacting fermions Preprint
2025.
@preprint{Teufel2025LiebRobinsonLongRangeFermions,
title = {Lieb-Robinson bounds, automorphic equivalence and LPPL for long-range interacting fermions},
author = {Stefan Teufel and Tom Wessel},
url = {https://arxiv.org/abs/2507.03319},
doi = {10.48550/arXiv.2507.03319},
year = {2025},
date = {2025-01-01},
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Lennart Becker; Stefan Teufel; Marius Wesle
The generalized adiabatic theorem for extended lattice systems Preprint
2025.
@preprint{Becker2025GeneralizedAdiabaticTheorem,
title = {The generalized adiabatic theorem for extended lattice systems},
author = {Lennart Becker and Stefan Teufel and Marius Wesle},
url = {https://arxiv.org/abs/2510.20914},
doi = {10.48550/arXiv.2510.20914},
year = {2025},
date = {2025-01-01},
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Stefan Teufel; Marius Wesle; Tom Wessel
Dynamics generated by spatially growing derivations on quasi-local algebras Preprint
2025.
@preprint{Teufel2025SpatiallyGrowingDerivations,
title = {Dynamics generated by spatially growing derivations on quasi-local algebras},
author = {Stefan Teufel and Marius Wesle and Tom Wessel},
url = {https://arxiv.org/abs/2511.02941},
doi = {10.48550/arXiv.2511.02941},
year = {2025},
date = {2025-01-01},
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Alberto Brollo; Dennis Plat; Alessandro Sfondrini
Revisiting the tensionless limit of pure-Ramond-Ramond AdS3/CFT2 Preprint
2025.
@preprint{Brollo2025TensionlessPureRRAdS3CFT2,
title = {Revisiting the tensionless limit of pure-Ramond-Ramond AdS3/CFT2},
author = {Alberto Brollo and Dennis Plat and Alessandro Sfondrini},
url = {https://arxiv.org/abs/2512.15697},
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year = {2025},
date = {2025-01-01},
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pubstate = {published},
tppubtype = {preprint}
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Martin Ravn Christiansen
A Correlational Bound for Eigenvalues of Fermionic 2-Body Operators Preprint
2025.
@preprint{Christiansen2025CorrelationalBoundFermionic2Body,
title = {A Correlational Bound for Eigenvalues of Fermionic 2-Body Operators},
author = {Martin Ravn Christiansen},
url = {https://arxiv.org/abs/2505.21167},
doi = {10.48550/arXiv.2505.21167},
year = {2025},
date = {2025-01-01},
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Eric A. Carlen; Rupert L. Frank; Simon Larson
A Jensen inequality for partial traces and applications to partially semiclassical limits Journal Article
In: Letters in Mathematical Physics, vol. 115, no. 3, pp. 52, 2025.
@article{Carlen2025JensenPartialTraces,
title = {A Jensen inequality for partial traces and applications to partially semiclassical limits},
author = {Eric A. Carlen and Rupert L. Frank and Simon Larson},
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Tobias König; Jonas W. Peteranderl
An almost-almost-Schur lemma on the 3-sphere Preprint
2025.
@preprint{Konig2025AlmostAlmostSchur,
title = {An almost-almost-Schur lemma on the 3-sphere},
author = {Tobias König and Jonas W. Peteranderl},
url = {https://arxiv.org/abs/2510.25723},
doi = {10.48550/arXiv.2510.25723},
year = {2025},
date = {2025-01-01},
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Leon Bollmann
An enhanced term in the Szegő-type asymptotics for the free massless Dirac operator Journal Article
In: Journal of the London Mathematical Society, 2025.
@article{Bollmann2025EnhancedTermSzegoDirac,
title = {An enhanced term in the Szegő-type asymptotics for the free massless Dirac operator},
author = {Leon Bollmann},
url = {https://doi.org/10.1112/jlms.70406},
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date = {2025-01-01},
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Barbara Roos; Robert Seiringer
BCS Critical Temperature on Half-Spaces Journal Article
In: Archive for Rational Mechanics and Analysis, vol. 249, pp. 20, 2025.
@article{Roos2025BCSCriticalHalfSpaces,
title = {BCS Critical Temperature on Half-Spaces},
author = {Barbara Roos and Robert Seiringer},
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Andreas Bluhm; Ángela Capel; Pablo Costa Rico; Anna Jenčová
Belavkin–Staszewski Quantum Markov Chains Journal Article
In: Annales Henri Poincaré, 2025.
@article{Bluhm2025BelavkinStaszewskiQMC,
title = {Belavkin–Staszewski Quantum Markov Chains},
author = {Andreas Bluhm and Ángela Capel and Pablo Costa Rico and Anna Jenčová},
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Rafael D. Benguria; Heinz Siedentop
Bound on the Excess Charge of Generalized Thomas-Fermi-Weizsäcker Functionals Journal Article
In: Journal of Mathematical Physics, vol. 66, no. 7, pp. 072103, 2025.
@article{Benguria2025ExcessChargeTFW,
title = {Bound on the Excess Charge of Generalized Thomas-Fermi-Weizsäcker Functionals},
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Cornelia Vogel; Roderich Tumulka; Stefan Teufel
Canonical Typicality for Other Ensembles than Micro-canonical Journal Article
In: Annales Henri Poincaré, vol. 26, pp. 1477–1518, 2025.
@article{Vogel2025CanonicalTypicalityOtherEnsembles,
title = {Canonical Typicality for Other Ensembles than Micro-canonical},
author = {Cornelia Vogel and Roderich Tumulka and Stefan Teufel},
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Ángela Capel; Anirban N. Chowdhury; Arkin Tikku; Hamza Fawzi; Isaac H. Kim; Omar Fawzi; Samuel O. Scalet
2025.
@preprint{Capel2025MarkovEntropyFreeEnergy,
title = {Classical Estimation of the Free Energy and Quantum Gibbs Sampling from the Markov Entropy Decomposition},
author = {Ángela Capel and Anirban N. Chowdhury and Arkin Tikku and Hamza Fawzi and Isaac H. Kim and Omar Fawzi and Samuel O. Scalet},
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Libor Caha; Lukas Brenner; Robert Koenig; Xavier Coiteux-Roy
Complexity of Gottesman-Kitaev-Preskill states Journal Article
In: Physical Review X, vol. 15, pp. 031073, 2025.
@article{Caha2025ComplexityGKPStates,
title = {Complexity of Gottesman-Kitaev-Preskill states},
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Massimo Moscolari; Paul Hege; Stefan Teufel
Computing the spectrum and pseudospectrum of infinite-volume operators from local patches Journal Article
In: Mathematics of Computation, vol. 95, pp. 833–866, 2025.
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François Louis Antoine Visconti; Lukas Junge
Derivation of Hartree theory for two-dimensional attractive Bose gases in very dilute regime Preprint
2025.
@preprint{Visconti2025Hartree2DAttractiveBose,
title = {Derivation of Hartree theory for two-dimensional attractive Bose gases in very dilute regime},
author = {François Louis Antoine Visconti and Lukas Junge},
url = {https://arxiv.org/abs/2410.23150},
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Andreas Deuchert; Jonas Lampart; Marius Lemm
Dynamics and equilibrium states of infinite systems of lattice bosons Preprint
2025.
@preprint{Deuchert2025LatticeBosonsInfiniteSystems,
title = {Dynamics and equilibrium states of infinite systems of lattice bosons},
author = {Andreas Deuchert and Jonas Lampart and Marius Lemm},
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doi = {10.48550/arXiv.2505.13170},
year = {2025},
date = {2025-01-01},
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Luca Fresta; Marcello Porta; Benjamin Schlein
Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime Journal Article
In: Communications in Mathematical Physics, vol. 406, no. 10, pp. 247, 2025.
@article{Fresta2025LocalObservablesExtendedFermi,
title = {Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime},
author = {Luca Fresta and Marcello Porta and Benjamin Schlein},
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Duc Viet Hoang; Peter Pickl
Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas Journal Article
In: Annales Henri Poincaré, 2025.
@article{Hoang2025EffectivePolaronDynamicsFermiGas,
title = {Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas},
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Barbara Roos; Robert Seiringer
Enhanced Superconductivity at a Corner for the Linear BCS Equation Journal Article
In: Forum of Mathematics, Sigma, vol. 13, pp. e71, 2025.
@article{Roos2025EnhancedSuperconductivityCorner,
title = {Enhanced Superconductivity at a Corner for the Linear BCS Equation},
author = {Barbara Roos and Robert Seiringer},
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Joan Mateu; Joan Verdera; Luca Rondi; Lucia Scardia; Maria Giovanna Mora; Rupert L. Frank
Explicit minimisers for anisotropic Riesz energies Preprint
2025.
@preprint{Mateu2025AnisotropicRieszEnergies,
title = {Explicit minimisers for anisotropic Riesz energies},
author = {Joan Mateu and Joan Verdera and Luca Rondi and Lucia Scardia and Maria Giovanna Mora and Rupert L. Frank},
url = {https://arxiv.org/abs/2504.11644},
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Ángela Capel; Massimo Moscolari; Stefan Teufel; Tom Wessel
From decay of correlations to locality and stability of the Gibbs state Journal Article
In: Communications in Mathematical Physics, vol. 406, pp. 43, 2025.
@article{Capel2025DecayCorrelationsGibbs,
title = {From decay of correlations to locality and stability of the Gibbs state},
author = {Ángela Capel and Massimo Moscolari and Stefan Teufel and Tom Wessel},
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Albert H. Werner; Andreas Bluhm; Cambyse Rouzé; Tim Möbus; Tuvia Gefen; Yu Tong
Heisenberg-limited Hamiltonian learning continuous variable systems via engineered dissipation Preprint
2025.
@preprint{Werner2025HeisenbergHamiltonianLearningCV,
title = {Heisenberg-limited Hamiltonian learning continuous variable systems via engineered dissipation},
author = {Albert H. Werner and Andreas Bluhm and Cambyse Rouzé and Tim Möbus and Tuvia Gefen and Yu Tong},
url = {https://arxiv.org/abs/2506.00606},
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year = {2025},
date = {2025-01-01},
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François Louis Antoine Visconti
Hilbert-Schmidt norm estimates for fermionic reduced density matrices Preprint
2025.
@preprint{Visconti2025HSNormFermionicRDM,
title = {Hilbert-Schmidt norm estimates for fermionic reduced density matrices},
author = {François Louis Antoine Visconti},
url = {https://arxiv.org/abs/2504.03488},
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Paul Pfeiffer; Rupert L. Frank; Simon Larson
Improved semiclassical eigenvalue estimates for the Laplacian and the Landau Hamiltonian Preprint
2025.
@preprint{Pfeiffer2025SemiclassicalEigenvalueEstimates,
title = {Improved semiclassical eigenvalue estimates for the Laplacian and the Landau Hamiltonian},
author = {Paul Pfeiffer and Rupert L. Frank and Simon Larson},
url = {https://arxiv.org/abs/2502.02388},
doi = {10.48550/arXiv.2502.02388},
year = {2025},
date = {2025-01-01},
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Pablo Costa Rico; Paul Gondolf; Tim Möbus
Instantaneous Sobolev Regularization for Dissipative Bosonic Dynamics Preprint
2025.
@preprint{CostaRico2025InstantaneousSobolevRegularization,
title = {Instantaneous Sobolev Regularization for Dissipative Bosonic Dynamics},
author = {Pablo Costa Rico and Paul Gondolf and Tim Möbus},
url = {https://arxiv.org/abs/2512.04066},
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year = {2025},
date = {2025-01-01},
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Albert H. Werner; Cambyse Rouzé; Daniel Stilck França; Tim Möbus
Learning and certification of local time-dependent quantum dynamics and noise Preprint
2025.
@preprint{Werner2025LearningCertificationQuantumDynamics,
title = {Learning and certification of local time-dependent quantum dynamics and noise},
author = {Albert H. Werner and Cambyse Rouzé and Daniel Stilck França and Tim Möbus},
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Andreas Bluhm; Marius Lemm; Oliver Siebert; Tim Möbus
Learning Coulomb Potentials and Beyond with Fermions in Continuous Space Preprint
2025.
@preprint{Bluhm2025LearningCoulombPotentials,
title = {Learning Coulomb Potentials and Beyond with Fermions in Continuous Space},
author = {Andreas Bluhm and Marius Lemm and Oliver Siebert and Tim Möbus},
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G. K. Duong; Phan Thành Nam
Lieb-Thirring inequalities for large quantum systems with inverse nearest-neighbor interactions Preprint
2025.
@preprint{Duong2025LiebThirringInverseNN,
title = {Lieb-Thirring inequalities for large quantum systems with inverse nearest-neighbor interactions},
author = {G. K. Duong and Phan Thành Nam},
url = {https://arxiv.org/abs/2501.00866},
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Hynek Kovařík; Rupert L. Frank
Lieb–Thirring Inequality for the 2D Pauli Operator Journal Article
In: Communications in Mathematical Physics, vol. 406, pp. 23, 2025.
@article{Kovarik2025LiebThirring2DPauli,
title = {Lieb–Thirring Inequality for the 2D Pauli Operator},
author = {Hynek Kovařík and Rupert L. Frank},
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Barbara Roos
Linear Criterion for an Upper Bound on the BCS Critical Temperature Journal Article
In: Journal of Mathematical Physics, vol. 66, pp. 011901, 2025.
@article{Roos2025LinearCriterionBCS,
title = {Linear Criterion for an Upper Bound on the BCS Critical Temperature},
author = {Barbara Roos},
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year = {2025},
date = {2025-01-01},
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Israel Michael Sigal; Jérémy Faupin; Jingxuan Zhang; Marius Lemm
Macroscopic suppression of supersonic quantum transport Preprint
2025.
@preprint{Sigal2025MacroscopicSuppressionSupersonic,
title = {Macroscopic suppression of supersonic quantum transport},
author = {Israel Michael Sigal and Jérémy Faupin and Jingxuan Zhang and Marius Lemm},
url = {https://arxiv.org/abs/2503.19788},
doi = {10.48550/arXiv.2503.19788},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Barbara Roos; Cornelia Vogel; Roderich Tumulka; Shoki Sugimoto; Stefan Teufel
Macroscopic Thermalization for Highly Degenerate Hamiltonians After Slight Perturbation Journal Article
In: Journal of Statistical Physics, vol. 192, no. 8, pp. 109, 2025.
@article{Roos2025MacroscopicThermalizationDegenerate,
title = {Macroscopic Thermalization for Highly Degenerate Hamiltonians After Slight Perturbation},
author = {Barbara Roos and Cornelia Vogel and Roderich Tumulka and Shoki Sugimoto and Stefan Teufel},
url = {https://doi.org/10.1007/s10955-025-03493-y},
doi = {10.1007/s10955-025-03493-y},
year = {2025},
date = {2025-01-01},
journal = {Journal of Statistical Physics},
volume = {192},
number = {8},
pages = {109},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Bin Chen; Dong Hao Ou Yang; Phan Thành Nam; Yujin Guo
Mass-Critical Neutron Stars in the Hartree-Fock and Hartree-Fock-Bogoliubov Theories Preprint
2025.
@preprint{Chen2025MassCriticalNeutronStars,
title = {Mass-Critical Neutron Stars in the Hartree-Fock and Hartree-Fock-Bogoliubov Theories},
author = {Bin Chen and Dong Hao Ou Yang and Phan Thành Nam and Yujin Guo},
url = {https://arxiv.org/abs/2504.16462},
doi = {10.48550/arXiv.2504.16462},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Jan Philip Solovej
Mathematical physics of dilute Bose gases Preprint
2025.
@preprint{Solovej2025MathematicalPhysicsDiluteBose,
title = {Mathematical physics of dilute Bose gases},
author = {Jan Philip Solovej},
url = {https://arxiv.org/abs/2504.03314},
doi = {10.48550/arXiv.2504.03314},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Marius Wesle; Giovanna Marcelli; Tadahiro Miyao; Domenico Monaco; Stefan Teufel
Near linearity of the macroscopic Hall current response in infinitely extended gapped fermion systems Journal Article
In: Communications in Mathematical Physics, vol. 406, pp. 199, 2025.
@article{Wesle2025NearLinearityHallCurrent,
title = {Near linearity of the macroscopic Hall current response in infinitely extended gapped fermion systems},
author = {Marius Wesle and Giovanna Marcelli and Tadahiro Miyao and Domenico Monaco and Stefan Teufel},
url = {https://doi.org/10.1007/s00220-025-05361-y},
doi = {10.1007/s00220-025-05361-y},
year = {2025},
date = {2025-01-01},
journal = {Communications in Mathematical Physics},
volume = {406},
pages = {199},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Larry Read
Negative Spectrum of Schrödinger Operators with Rapidly Oscillating Potentials Journal Article
In: Annales Henri Poincaré, vol. 26, pp. 81–97, 2025.
@article{Read2025NegativeSpectrumRapidlyOscillating,
title = {Negative Spectrum of Schrödinger Operators with Rapidly Oscillating Potentials},
author = {Larry Read},
url = {https://doi.org/10.1007/s00023-024-01457-8},
doi = {10.1007/s00023-024-01457-8},
year = {2025},
date = {2025-01-01},
journal = {Annales Henri Poincaré},
volume = {26},
pages = {81–97},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Angelo Lucia; Marius Lemm
On the critical finite-size gap scaling for frustration-free Hamiltonians Journal Article
In: Reviews in Mathematical Physics, vol. 37, no. 7, pp. 2550015, 2025.
@article{Lucia2025FiniteSizeGapScaling,
title = {On the critical finite-size gap scaling for frustration-free Hamiltonians},
author = {Angelo Lucia and Marius Lemm},
url = {https://doi.org/10.1142/S0129055X25500151},
doi = {10.1142/S0129055X25500151},
year = {2025},
date = {2025-01-01},
journal = {Reviews in Mathematical Physics},
volume = {37},
number = {7},
pages = {2550015},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Jinwook Jung; Li Chen; Peter Pickl; Zhenfu Wang
On the mean-field limit of Vlasov-Poisson-Fokker-Planck equations Preprint
2025.
@preprint{Jung2025VlasovPoissonFokkerPlanck,
title = {On the mean-field limit of Vlasov-Poisson-Fokker-Planck equations},
author = {Jinwook Jung and Li Chen and Peter Pickl and Zhenfu Wang},
url = {https://arxiv.org/abs/2505.13038},
doi = {10.48550/arXiv.2505.13038},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Carla Rubiliani; Jingxuan Zhang; Marius Lemm
On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians Preprint
2025.
@preprint{Rubiliani2025LongRangedBoseHubbard,
title = {On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians},
author = {Carla Rubiliani and Jingxuan Zhang and Marius Lemm},
url = {https://arxiv.org/abs/2505.01786},
doi = {10.48550/arXiv.2505.01786},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Jakob Stern; Peter Müller
On the return probability of the simple random walk on Galton-Watson trees Journal Article
In: Electronic Journal of Probability, vol. 30, pp. 10, 2025.
@article{Stern2025GaltonWatsonReturnProbability,
title = {On the return probability of the simple random walk on Galton-Watson trees},
author = {Jakob Stern and Peter Müller},
url = {https://doi.org/10.1214/25-EJP1266},
doi = {10.1214/25-EJP1266},
year = {2025},
date = {2025-01-01},
journal = {Electronic Journal of Probability},
volume = {30},
pages = {10},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Oliver Siebert
On the thermodynamic limit of interacting fermions in the continuum Journal Article
In: Letters in Mathematical Physics, vol. 115, pp. 33, 2025.
@article{Siebert2025ThermodynamicLimitFermionsContinuum,
title = {On the thermodynamic limit of interacting fermions in the continuum},
author = {Oliver Siebert},
url = {https://doi.org/10.1007/s11005-025-01919-y},
doi = {10.1007/s11005-025-01919-y},
year = {2025},
date = {2025-01-01},
journal = {Letters in Mathematical Physics},
volume = {115},
pages = {33},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Marius Lemm; Simone Rademacher
Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory Journal Article
In: Quantum, vol. 9, pp. 1587, 2025.
@article{Lemm2025OTOCMeanFieldBosons,
title = {Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory},
author = {Marius Lemm and Simone Rademacher},
url = {https://doi.org/10.22331/q-2025-01-13-1587},
doi = {10.22331/q-2025-01-13-1587},
year = {2025},
date = {2025-01-01},
journal = {Quantum},
volume = {9},
pages = {1587},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Christian Lange; Jonas W. Peteranderl
Quantitative Lorentzian isoperimetric inequalities Preprint
2025.
@preprint{Lange2025LorentzianIsoperimetric,
title = {Quantitative Lorentzian isoperimetric inequalities},
author = {Christian Lange and Jonas W. Peteranderl},
url = {https://arxiv.org/abs/2510.26755},
doi = {10.48550/arXiv.2510.26755},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Hjalmar Rall; Michael M. Wolf
Quantum tomography from the evolution of a single expectation Preprint
2025.
@preprint{Rall2025QuantumTomographySingleExpectation,
title = {Quantum tomography from the evolution of a single expectation},
author = {Hjalmar Rall and Michael M. Wolf},
url = {https://arxiv.org/abs/2501.10118},
doi = {10.48550/arXiv.2501.10118},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Alexander Sakhanenko; Denis Denisov; Sara Terveer; Vitali Wachtel
Random walks with square-root boundaries: the case of exact boundaries g(t)=csqrtt+b-a Preprint
2025.
@preprint{Sakhanenko2025SquareRootBoundaries,
title = {Random walks with square-root boundaries: the case of exact boundaries g(t)=csqrtt+b-a},
author = {Alexander Sakhanenko and Denis Denisov and Sara Terveer and Vitali Wachtel},
url = {https://arxiv.org/abs/2501.04554},
doi = {10.48550/arXiv.2501.04554},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Álvaro M. Alhambra; Ángela Capel; Cambyse Rouzé; Jan Kochanowski
Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians Journal Article
In: Communications in Mathematical Physics, vol. 406, no. 8, pp. 176, 2025.
@article{Alhambra2025RapidThermalizationCommuting,
title = {Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians},
author = {Álvaro M. Alhambra and Ángela Capel and Cambyse Rouzé and Jan Kochanowski},
url = {https://doi.org/10.1007/s00220-025-05353-y},
doi = {10.1007/s00220-025-05353-y},
year = {2025},
date = {2025-01-01},
journal = {Communications in Mathematical Physics},
volume = {406},
number = {8},
pages = {176},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Christian Lubich; Jörg Nick
Regularized dynamical parametric approximation of stiff evolution problems Preprint
2025.
@preprint{Lubich2025RegularizedParametricStiff,
title = {Regularized dynamical parametric approximation of stiff evolution problems},
author = {Christian Lubich and Jörg Nick},
url = {https://arxiv.org/abs/2501.12118},
doi = {10.48550/arXiv.2501.12118},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Rupert L. Frank; Simon Larson
Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains Journal Article
In: Inventiones mathematicae, vol. 241, no. 3, pp. 999–1079, 2025.
@article{Frank2025RieszMeansLipschitz,
title = {Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains},
author = {Rupert L. Frank and Simon Larson},
url = {https://doi.org/10.1007/s00222-025-01352-x},
doi = {10.1007/s00222-025-01352-x},
year = {2025},
date = {2025-01-01},
journal = {Inventiones mathematicae},
volume = {241},
number = {3},
pages = {999–1079},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Rupert L. Frank; Jonas W. Peteranderl; Larry Read
Sharp quantitative integral inequalities for harmonic extensions Preprint
2025.
@preprint{Frank2025SharpHarmonicExtensions,
title = {Sharp quantitative integral inequalities for harmonic extensions},
author = {Rupert L. Frank and Jonas W. Peteranderl and Larry Read},
url = {https://arxiv.org/abs/2508.09940},
doi = {10.48550/arXiv.2508.09940},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Andreas Bluhm; Ángela Capel; Antonio Pérez-Hernández
Strong decay of correlations for Gibbs states in any dimension Journal Article
In: Journal of Statistical Physics, vol. 192, no. 10, pp. 134, 2025.
@article{Bluhm2025StrongDecayGibbsStates,
title = {Strong decay of correlations for Gibbs states in any dimension},
author = {Andreas Bluhm and Ángela Capel and Antonio Pérez-Hernández},
url = {https://doi.org/10.1007/s10955-025-03512-y},
doi = {10.1007/s10955-025-03512-y},
year = {2025},
date = {2025-01-01},
journal = {Journal of Statistical Physics},
volume = {192},
number = {10},
pages = {134},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Jean Dolbeault; Maria J. Esteban; Michael Loss; Rupert L. Frank
The CKN inequality for spinors: symmetry and symmetry breaking Preprint
2025.
@preprint{Dolbeault2025CKNSpinors,
title = {The CKN inequality for spinors: symmetry and symmetry breaking},
author = {Jean Dolbeault and Maria J. Esteban and Michael Loss and Rupert L. Frank},
url = {https://arxiv.org/abs/2504.16909},
doi = {10.48550/arXiv.2504.16909},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Arnaud Triay; Jonas Lampart
The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime Journal Article
In: Archive for Rational Mechanics and Analysis, vol. 249, pp. 44, 2025.
@article{Triay2025BoseGasImpurityExcitationSpectrum,
title = {The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime},
author = {Arnaud Triay and Jonas Lampart},
url = {https://doi.org/10.1007/s00205-025-02112-0},
doi = {10.1007/s00205-025-02112-0},
year = {2025},
date = {2025-01-01},
journal = {Archive for Rational Mechanics and Analysis},
volume = {249},
pages = {44},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Long Meng; Heinz Siedentop
The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics Journal Article
In: Journal of Mathematical Physics, vol. 66, no. 6, pp. 061901, 2025.
@article{Meng2025HeavyAtomsAsymptotics,
title = {The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics},
author = {Long Meng and Heinz Siedentop},
url = {https://doi.org/10.1063/5.0257543},
doi = {10.1063/5.0257543},
year = {2025},
date = {2025-01-01},
journal = {Journal of Mathematical Physics},
volume = {66},
number = {6},
pages = {061901},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Christian Hainzl; Emanuela L. Giacomelli; Phan Thành Nam; Robert Seiringer
The Huang-Yang conjecture for the low-density Fermi gas Preprint
2025.
@preprint{Hainzl2025HuangYangConjecture,
title = {The Huang-Yang conjecture for the low-density Fermi gas},
author = {Christian Hainzl and Emanuela L. Giacomelli and Phan Thành Nam and Robert Seiringer},
url = {https://arxiv.org/abs/2505.22340},
doi = {10.48550/arXiv.2505.22340},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Cristina Caraci; Alessandro Olgiati; Diane Saint Aubin; Benjamin Schlein
Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime Journal Article
In: Communications in Mathematical Physics, vol. 406, pp. 153, 2025.
@article{Caraci2025ThirdOrderCorrectionsBoseGP,
title = {Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime},
author = {Cristina Caraci and Alessandro Olgiati and Diane Saint Aubin and Benjamin Schlein},
url = {https://doi.org/10.1007/s00220-025-05320-7},
doi = {10.1007/s00220-025-05320-7},
year = {2025},
date = {2025-01-01},
journal = {Communications in Mathematical Physics},
volume = {406},
pages = {153},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Benjamin Schlein; Diane Saint Aubin; Jakob Oldenburg; Morris Brooks
Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas Preprint
2025.
@preprint{Schlein2025ThirdOrderUpperBoundDiluteBose,
title = {Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas},
author = {Benjamin Schlein and Diane Saint Aubin and Jakob Oldenburg and Morris Brooks},
url = {https://arxiv.org/abs/2506.04153},
doi = {10.48550/arXiv.2506.04153},
year = {2025},
date = {2025-01-01},
note = {Preprint},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Caroline Lasser; Kurt Busch; Malik Scheifinger; Marlis Hochbruck
Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation Journal Article
In: Journal of Computational Physics, vol. 541, pp. 114349, 2025.
@article{Lasser2025TimeIntegrationGaussianVariational,
title = {Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation},
author = {Caroline Lasser and Kurt Busch and Malik Scheifinger and Marlis Hochbruck},
url = {https://doi.org/10.1016/j.jcp.2025.114349},
doi = {10.1016/j.jcp.2025.114349},
year = {2025},
date = {2025-01-01},
journal = {Journal of Computational Physics},
volume = {541},
pages = {114349},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Cornelia Vogel; Roderich Tumulka; Stefan Teufel
Typical Macroscopic Long-Time Behavior for Random Hamiltonians Journal Article
In: Annales Henri Poincaré, vol. 26, pp. 3189–3231, 2025.
@article{Vogel2025RandomHamiltoniansLongTime,
title = {Typical Macroscopic Long-Time Behavior for Random Hamiltonians},
author = {Cornelia Vogel and Roderich Tumulka and Stefan Teufel},
url = {https://doi.org/10.1007/s00023-024-01521-3},
doi = {10.1007/s00023-024-01521-3},
year = {2025},
date = {2025-01-01},
journal = {Annales Henri Poincaré},
volume = {26},
pages = {3189–3231},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Asbjørn Bækgaard Lauritsen; Joscha Henheik
Universal behavior of the BCS energy gap Journal Article
In: Journal of Spectral Theory, vol. 15, no. 1, pp. 305–352, 2025.
@article{Lauritsen2025UniversalBCSEnergyGap,
title = {Universal behavior of the BCS energy gap},
author = {Asbjørn Bækgaard Lauritsen and Joscha Henheik},
url = {https://doi.org/10.4171/JST/540},
doi = {10.4171/JST/540},
year = {2025},
date = {2025-01-01},
journal = {Journal of Spectral Theory},
volume = {15},
number = {1},
pages = {305–352},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Alberto Brollo; Adolfo Campo; Alvise Bastianello
Universal efficiency boost in prethermal quantum heat engines at negative temperature Journal Article
In: Nature Communications, vol. 16, pp. 10593, 2025.
@article{Brollo2025PrethermalHeatEngines,
title = {Universal efficiency boost in prethermal quantum heat engines at negative temperature},
author = {Alberto Brollo and Adolfo Campo and Alvise Bastianello},
url = {https://doi.org/10.1038/s41467-025-66424-1},
doi = {10.1038/s41467-025-66424-1},
year = {2025},
date = {2025-01-01},
journal = {Nature Communications},
volume = {16},
pages = {10593},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Arnaud Triay; Jonas Lampart
Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate Journal Article
In: Physical Review A, vol. 112, pp. 053319, 2025.
@article{Triay2025FrohlichModelImpurityBEC,
title = {Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate},
author = {Arnaud Triay and Jonas Lampart},
url = {https://doi.org/10.1103/3zd3-rxhp},
doi = {10.1103/3zd3-rxhp},
year = {2025},
date = {2025-01-01},
journal = {Physical Review A},
volume = {112},
pages = {053319},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Marius Lemm; Bruno Nachtergaele; Simone Warzel; Amanda Young
Recursive spectral relations and the charge versus neutral gap in fractional quantum Hall systems Preprint
2025.
@preprint{lemm2025recursivespectralrelationscharge,
title = {Recursive spectral relations and the charge versus neutral gap in fractional quantum Hall systems},
author = {Marius Lemm and Bruno Nachtergaele and Simone Warzel and Amanda Young},
url = {https://arxiv.org/abs/2507.18814},
year = {2025},
date = {2025-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
Chokri Manai; Simone Warzel
Dynamical Phase Diagram of the REM under independent spin-flips Preprint
2025.
@preprint{manai2025dynamicalphasediagramrem,
title = {Dynamical Phase Diagram of the REM under independent spin-flips},
author = {Chokri Manai and Simone Warzel},
url = {https://arxiv.org/abs/2506.15353},
year = {2025},
date = {2025-01-01},
keywords = {},
pubstate = {published},
tppubtype = {preprint}
}
2024
Amanda Young
On a bulk gap strategy for quantum lattice models Journal Article
In: Reviews in Mathematical Physics, vol. 36, no. 09, pp. 2460007, 2024.
@article{doi:10.1142/S0129055X24600079,
title = {On a bulk gap strategy for quantum lattice models},
author = {Amanda Young},
url = {https://doi.org/10.1142/S0129055X24600079},
doi = {10.1142/S0129055X24600079},
year = {2024},
date = {2024-01-01},
journal = {Reviews in Mathematical Physics},
volume = {36},
number = {09},
pages = {2460007},
abstract = {Establishing the (non)existence of a spectral gap above the ground state in the thermodynamic limit is one of the fundamental steps for characterizing the topological phase of a quantum lattice model. This is particularly challenging when a model is expected to have low-lying edge excitations, but nevertheless a positive bulk gap. We review the bulk gap strategy introduced in [S. Warzel and A. Young, The spectral gap of a fractional quantum Hall system on a thin torus, J. Math. Phys. 63 (2022) 041901; S. Warzel and A. Young, A bulk spectral gap in the presence of edge states for a truncated pseudopotential, Ann. Henri Poincaré 24 (2023) 133–178], while studying truncated Haldane pseudopotentials. This approach is able to avoid low-lying edge modes by separating the ground states and edge states into different invariant subspaces before applying spectral gap bounding techniques. The approach is stated in a general context, and we reformulate specific spectral gap methods in an invariant subspace context to illustrate the necessary conditions for combining them with the bulk gap strategy. We then review its application to a truncation of the 1/3-filled Haldane pseudopotential in the cylinder geometry.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Herbert Spohn
Hydrodynamic Scales of Integrable Many-Body Systems Book
World Scientific, Singapore, 2024, ISBN: 9789811283543.
@book{Spohn2024HydrodynamicScales,
title = {Hydrodynamic Scales of Integrable Many-Body Systems},
author = {Herbert Spohn},
url = {https://doi.org/10.1142/13600},
doi = {10.1142/13600},
isbn = {9789811283543},
year = {2024},
date = {2024-01-01},
pages = {256},
publisher = {World Scientific},
address = {Singapore},
keywords = {},
pubstate = {published},
tppubtype = {book}
}
Rupert L. Frank
A div-curl inequality for orthonormal functions Journal Article
In: Pure and Applied Functional Analysis, no. 4, pp. 1081–1091, 2024.
@article{Frank2024DivCurlOrthonormal,
title = {A div-curl inequality for orthonormal functions},
author = {Rupert L. Frank},
url = {http://yokohamapublishers.jp/online2/oppafa/vol9/p1083.html},
year = {2024},
date = {2024-01-01},
journal = {Pure and Applied Functional Analysis},
number = {4},
pages = {1081–1091},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Gemma De Coves; Sebastian Stengele; Tobias Reinhart; Tomáš Gonda
A Framework for Universality in Physics, Computer Science, and Beyond Journal Article
In: Compositionality, vol. 6, 2024.
@article{DeLesCoves2024FrameworkUniversality,
title = {A Framework for Universality in Physics, Computer Science, and Beyond},
author = {Gemma De Coves and Sebastian Stengele and Tobias Reinhart and Tomáš Gonda},
url = {https://doi.org/10.46298/compositionality-6-3},
doi = {10.46298/compositionality-6-3},
year = {2024},
date = {2024-01-01},
journal = {Compositionality},
volume = {6},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Ángela Capel; Yifan Jia
A generic quantum Wielandt’s inequality Journal Article
In: Quantum, vol. 8, pp. 1331, 2024.
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Christian Lubich; Dominik Sulz; Gianluca Ceruti; Jonas Kusch
A parallel Basis Update and Galerkin Integrator for Tree Tensor Networks Preprint
2024.
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Chokri Manai; Simone Warzel
A Parisi Formula for Quantum Spin Glasses Preprint
2024.
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Christian Lubich; Gianluca Ceruti; Jonas Kusch; Lukas Einkemmer
A robust second-order low-rank BUG integrator based on the midpoint rule Preprint
2024.
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Christian Brennecke; Cristina Caraci; Jakob Oldenburg; Morris Brooks
A Short Proof of Bose–Einstein Condensation in the Gross–Pitaevskii Regime and Beyond Journal Article
In: Annales Henri Poincaré, 2024.
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Emanuela L. Giacomelli
An optimal lower bound for the low density Fermi gas in three dimensions Preprint
2024.
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Charlotte Dietze; Larry Read
Concentration of eigenfunctions on singular Riemannian manifolds Preprint
2024.
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Alberto Ruiz-de-Alarcón; Álvaro M. Alhambra; Ángela Capel; Paul Gondolf; Samuel O. Scalet
Conditional Independence of 1D Gibbs States with Applications to Efficient Learning Preprint
2024.
@preprint{RuizDeAlarcon2024ConditionalIndependence1DGibbs,
title = {Conditional Independence of 1D Gibbs States with Applications to Efficient Learning},
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Ángela Capel; Bjarne Bergh; Koenraad Audenaert; Michael G. Jabbour; Nilanjana Datta; Paul Gondolf
Continuity bounds for quantum entropies arising from a fundamental entropic inequality Preprint
2024.
@preprint{Capel2024ContinuityBoundsQuantumEntropies,
title = {Continuity bounds for quantum entropies arising from a fundamental entropic inequality},
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Giao Ky Duong; Phan Thành Nam; Phuoc-Tai Nguyen; Rupert L. Frank; Thi Minh Thao Le
Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator Journal Article
In: Journal de Mathématiques Pures et Appliquées, vol. 190, 2024.
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Jonas W. Peteranderl; Rupert L. Frank
Degenerate Stability of the Caffarelli-Kohn-Nirenberg Inequality along the Felli-Schneider Curve Journal Article
In: Calculus of Variations and Partial Differential Equations, vol. 63, pp. 44, 2024.
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Domenico Monaco; Margherita Ferrero
Effective quantum dynamics for magnetic fermions Preprint
2024.
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Cambyse Rouzé; Paul Gondolf; Tim Möbus
Energy preserving evolutions over Bosonic systems Journal Article
In: Quantum, vol. 8, pp. 1551, 2024.
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Leon Bollmann; Peter Müller
Enhanced area law in the Widom-Sobolev formula for the free Dirac operator in arbitrary dimension Preprint
2024.
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title = {Enhanced area law in the Widom-Sobolev formula for the free Dirac operator in arbitrary dimension},
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Marius Lemm; Tomotaka Kuwahara
Enhanced Lieb-Robinson bounds for a class of Bose-Hubbard type Hamiltonians Preprint
2024.
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title = {Enhanced Lieb-Robinson bounds for a class of Bose-Hubbard type Hamiltonians},
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Marius Lemm; Tom Wessel
Enhanced Lieb-Robinson bounds for commuting long-range interactions Preprint
2024.
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Jonas Lampart; Massimo Moscolari; Stefan Teufel; Tom Wessel
Equality of magnetization and edge current for interacting lattice fermions at positive temperature Journal Article
In: Mathematical Physics, Analysis and Geometry, vol. 27, pp. 24, 2024.
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Libor Caha; Lukas Brenner; Robert Koenig; Xavier Coiteux-Roy
Factoring an integer with three oscillators and a qubit Preprint
2024.
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title = {Factoring an integer with three oscillators and a qubit},
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Burkhard Schmidt; Caroline Lasser; Leonardo Araujo
FSSH-2: Fewest Switches Surface Hopping with robust switching probability Journal Article
In: Journal of Chemical Theory and Computation, vol. 20, pp. 3413, 2024.
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François Louis Antoine Visconti; Lukas Junge
Ground state energy of a dilute Bose gas with three-body hard-core interactions Preprint
2024.
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title = {Ground state energy of a dilute Bose gas with three-body hard-core interactions},
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Asbjørn Bækgaard Lauritsen; Robert Seiringer
Ground state energy of the dilute spin-polarized Fermi gas: Lower bound Preprint
2024.
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François L. A. Visconti
Ground state energy of the low density Bose gas with two-body and three-body interactions Preprint
2024.
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Ari Laptev; Jan Philip Solovej; Rupert L. Frank; Thomas Hoffmann-Ostenhof
Hardy inequalities for large fermionic systems Journal Article
In: Journal of Spectral Theory, vol. 14, no. 2, pp. 805–835, 2024.
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Martin Ravn Christiansen
Hilbert–Schmidt Estimates for Fermionic 2-Body Operators Journal Article
In: Communications in Mathematical Physics, vol. 405, pp. 18, 2024.
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Ari Laptev; Bernard Helffer; Rupert L. Frank
Inequalities between Dirichlet and Neumann eigenvalues on Carnot groups Preprint
2024.
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title = {Inequalities between Dirichlet and Neumann eigenvalues on Carnot groups},
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Jingxuan Zhang; Marius Lemm; Simone Rademacher
Local enhancement of the mean-field approximation for bosons Preprint
2024.
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title = {Local enhancement of the mean-field approximation for bosons},
author = {Jingxuan Zhang and Marius Lemm and Simone Rademacher},
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Daniel Kressner; Dominik Sulz; Gianluca Ceruti
Low-rank Tree Tensor Network Operators for Long-Range Pairwise Interactions Preprint
2024.
@preprint{Kressner2024LowRankTTNOperators,
title = {Low-rank Tree Tensor Network Operators for Long-Range Pairwise Interactions},
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Charlotte Dietze; Phan Thành Nam
Minimizing Schrödinger eigenvalues for confining potentials Preprint
2024.
@preprint{Dietze2024MinimizingSchrodingerEigenvalues,
title = {Minimizing Schrödinger eigenvalues for confining potentials},
author = {Charlotte Dietze and Phan Thành Nam},
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Rupert L. Frank
Minimizing sequences of Sobolev inequalities revisited Preprint
2024.
@preprint{Frank2024MinimizingSobolevSequences,
title = {Minimizing sequences of Sobolev inequalities revisited},
author = {Rupert L. Frank},
url = {https://arxiv.org/abs/2412.08616},
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Asbjørn Bækgaard Lauritsen; Edwin Langmann; Joscha Henheik
Multi-band superconductors have enhanced critical temperatures Preprint
2024.
@preprint{Lauritsen2024MultibandSuperconductors,
title = {Multi-band superconductors have enhanced critical temperatures},
author = {Asbjørn Bækgaard Lauritsen and Edwin Langmann and Joscha Henheik},
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Tim Möbus
Multi-product Zeno effect with higher order convergence rates Preprint
2024.
@preprint{Mobus2024MultiproductZeno,
title = {Multi-product Zeno effect with higher order convergence rates},
author = {Tim Möbus},
url = {https://arxiv.org/abs/2410.16260},
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Dominik Sulz; Christian Lubich; Gianluca Ceruti; Igor Lesanovsky
Numerical simulation of long-range open quantum many-body dynamics with tree tensor networks Journal Article
In: Physical Review A, vol. 109, pp. 022420, 2024.
@article{Sulz2024LongRangeOpenQuantumTTN,
title = {Numerical simulation of long-range open quantum many-body dynamics with tree tensor networks},
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Tim Möbus
On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications Journal Article
In: Quantum, vol. 8, pp. 1424, 2024.
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Larry Read
On the asymptotic number of low-lying states in the two-dimensional confined Stark effect Preprint
2024.
@preprint{Read2024ConfinedStarkLowLying,
title = {On the asymptotic number of low-lying states in the two-dimensional confined Stark effect},
author = {Larry Read},
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Michael M. Wolf; Vjosa Blakaj
On the set of reduced states of translation invariant, infinite quantum systems Journal Article
In: Letters in Mathematical Physics, vol. 114, pp. 28, 2024.
@article{Wolf2024ReducedStatesTranslationInvariant,
title = {On the set of reduced states of translation invariant, infinite quantum systems},
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Jean-Claude Cuenin; Rupert L. Frank
Open problem: Violation of locality for Schrödinger operators with complex potentials Preprint
2024.
@preprint{Cuenin2024ViolationLocalityComplexPotentials,
title = {Open problem: Violation of locality for Schrödinger operators with complex potentials},
author = {Jean-Claude Cuenin and Rupert L. Frank},
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Alberto Brollo; Herbert Spohn
Particle scattering and fusion for the Ablowitz-Ladik chain Journal Article
In: Journal of Physics A: Mathematical and Theoretical, vol. 57, pp. 325202, 2024.
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Asbjørn Bækgaard Lauritsen; Robert Seiringer
Pressure of a dilute spin-polarized Fermi gas: Lower bound Journal Article
In: Forum of Mathematics, Sigma, vol. 12, 2024.
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Asbjørn Bækgaard Lauritsen; Robert Seiringer
Pressure of a dilute spin-polarized Fermi gas: Upper bound Preprint
2024.
@preprint{Lauritsen2024PressureSpinPolarizedUpper,
title = {Pressure of a dilute spin-polarized Fermi gas: Upper bound},
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Benjamin Schlein; Cristina Caraci; Jakob Oldenburg
Quantum fluctuations of many-body dynamics around the Gross–Pitaevskii equation Journal Article
In: Annales de l’Institut Henri Poincaré C, 2024.
@article{Schlein2024QuantumFluctuationsGP,
title = {Quantum fluctuations of many-body dynamics around the Gross–Pitaevskii equation},
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Ángela Capel; Cambyse Rouzé; Jan Kochanowski; Paul Gondolf
Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics Preprint
2024.
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Caroline Lasser; Christian Lubich; Jörg Nick; Michael Feischl
Regularized dynamical parametric approximation Preprint
2024.
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Heinz Siedentop; Long Meng; Matthias Tiefenbeck
Relativistic Exchange Bounds Preprint
2024.
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Joscha Henheik; Tom Wessel
Response theory for locally gapped systems Preprint
2024.
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Caroline Lasser; Fabian Kröninger; Jiri J. L. Vanicek
Sampling strategies for expectation values within the Herman–Kluk approximation Preprint
2024.
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Rupert L. Frank; Simon Larson
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains Preprint
2024.
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Amanda Young; Bruno Nachtergaele; Marius Lemm; Simone Warzel
The charge gap is greater than the neutral gap in fractional quantum Hall systems Preprint
2024.
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title = {The charge gap is greater than the neutral gap in fractional quantum Hall systems},
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Christian Hainzl; Martin Ravn Christiansen; Phan Thành Nam
The Correlation Energy of the Electron Gas in the Mean-Field Regime Preprint
2024.
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Caroline Lasser; Paul Bergold
The Gaussian wave packet transform via quadrature rules Journal Article
In: IMA Journal of Numerical Analysis, vol. 44, no. 3, pp. 1785–1820, 2024.
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Christian Hainzl; Emanuela L. Giacomelli; Phan Thành Nam; Robert Seiringer
The Huang-Yang formula for the low-density Fermi gas: upper bound Preprint
2024.
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Jonas W. Peteranderl; Rupert L. Frank
The sharp σ_2-curvature inequality on the sphere in quantitative form Preprint
2024.
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title = {The sharp σ_2-curvature inequality on the sphere in quantitative form},
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Álvaro Perales-Eceiza; David Pérez-García; Michael M. Wolf; Mile Gu; Toby Cubitt
Undecidability in Physics: a Review Preprint
2024.
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Andreas Bluhm; Ángela Capel; Paul Gondolf; Tim Möbus
Unified framework for continuity of sandwiched Rényi divergences Journal Article
In: Annales Henri Poincaré, vol. 27, pp. 1–50, 2024.
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Asbjørn Bækgaard Lauritsen; Barbara Roos; Joscha Henheik
Universality in low-dimensional BCS theory Journal Article
In: Reviews in Mathematical Physics, 2024.
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Benjamin Dörich; Caroline Lasser; Marlis Hochbruck; Selina Burkhard
Variational Gaussian approximation for the magnetic Schrödinger equation Journal Article
In: Journal of Physics A: Mathematical and Theoretical, vol. 57, pp. 295202, 2024.
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Ari Laptev; Larry Read; Rupert L. Frank
Weighted CLR type bounds in two dimensions Journal Article
In: Transactions of the American Mathematical Society, vol. 377, 2024.
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2023
Chokri Manai; Simone Warzel
The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems Journal Article
In: Forum of Mathematics, Sigma, vol. 11, pp. e112, 2023.
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Simone Warzel; Amanda Young
A Bulk Spectral Gap in the Presence of Edge States for a Truncated Pseudopotential Journal Article
In: Annales Henri Poincaré, vol. 24, no. 1, pp. 133–178, 2023.
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Luca Fresta; Marcello Porta; Benjamin Schlein
Effective Dynamics of Extended Fermi Gases in the High-Density Regime Journal Article
In: Communications in Mathematical Physics, vol. 401, pp. 1701–1751, 2023.
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Guido Mazzuca; Tamara Grava; Thomas Kriecherbauer; Kenneth T. -R. McLaughlin; Christian B. Mendl; Herbert Spohn
Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale Journal Article
In: Journal of Statistical Physics, vol. 190, pp. 149, 2023.
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Christian Lubich; Gianluca Ceruti; Jonas Kusch
A parallel rank-adaptive integrator for dynamical low-rank approximation Preprint
2023.
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Asbjørn Bækgaard Lauritsen
Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion Preprint
2023.
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Emanuela L. Giacomelli
An optimal upper bound for the dilute Fermi gas in three dimensions Journal Article
In: Journal of Functional Analysis, vol. 285, pp. 110073, 2023.
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Caroline Lasser; Clotilde Fermanian Kammerer; Didier Robert
2023.
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Andreas Bluhm; Ángela Capel; Paul Gondolf
Continuity of Quantum Entropic Quantities via Almost Convexity Journal Article
In: IEEE Transactions on Information Theory, 2023.
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Frederik Ravn Klausen; Simone Warzel
Decoherence is an echo of Anderson localization in open quantum systems Preprint
2023.
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title = {Decoherence is an echo of Anderson localization in open quantum systems},
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David Mitrouskas; Peter Pickl
Exponential decay of the number of excitations in the weakly interacting Bose gas Preprint
2023.
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title = {Exponential decay of the number of excitations in the weakly interacting Bose gas},
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Andreas Bluhm; Ángela Capel; Antonio Pérez-Hernández; Paul Gondolf
General Continuity Bounds for Quantum Relative Entropies Proceedings Article
In: 2023 IEEE International Symposium on Information Theory (ISIT), pp. 162–167, 2023.
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Asbjørn Bækgaard Lauritsen; Robert Seiringer
Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion Preprint
2023.
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Pablo A. Ferrari; Chiara Franceschini; Dante G. E. Grevino; Herbert Spohn
Hard rod hydrodynamics and the Lévy Chentsov field Journal Article
In: Ensaios Matemáticos, no. 38, pp. 185–222, 2023.
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Michael M. Wolf; Yifan Jia
Hay from the Haystack: Explicit Examples of Exponential Quantum Circuit Complexity Journal Article
In: Communications in Mathematical Physics, vol. 402, pp. 141–156, 2023.
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Carla Rubiliani; Israel Michael Sigal; Jingxuan Zhang; Marius Lemm
Information propagation in long-range quantum many-body systems Journal Article
In: Physical Review A, vol. 108, pp. L060401, 2023.
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Dong Hao Ou Yang; Israel Michael Sigal; Jérémy Faupin; Jingxuan Zhang; Marius Lemm; Sébastien Breteaux
Light cones for open quantum systems Preprint
2023.
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title = {Light cones for open quantum systems},
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Rupert L. Frank; Ryan W. Matzke
Minimizers for an aggregation model with attractive-repulsive interaction Preprint
2023.
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Alberto Brollo; Dennis Plat; Alessandro Sfondrini; Ryo Suzuki
More on the tensionless limit of pure-Ramond-Ramond AdS3/CFT2 Journal Article
In: Journal of High Energy Physics, vol. 2023, pp. 160, 2023.
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Jérémy Faupin; Israel Michael Sigal; Jingxuan Zhang; Marius Lemm
On Lieb-Robinson bounds for a class of continuum fermions Preprint
2023.
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Carla Rubiliani; Jingxuan Zhang; Marius Lemm
On the microscopic propagation speed of long-range quantum many-body systems Preprint
2023.
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Cambyse Rouzé; Daniel Stilck França; Emilio Onorati; James D. Watson
Provably Efficient Learning of Phases of Matter via Dissipative Evolutions Preprint
2023.
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Alberto Brollo; Dennis Plat; Alessandro Sfondrini; Ryo Suzuki
Tensionless Limit of Pure–Ramond-Ramond Strings and AdS3/CFT2 Journal Article
In: Physical Review Letters, vol. 131, no. 16, pp. 161604, 2023.
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Florian Haberberger; Christian Hainzl; Phan Thành Nam; Robert Seiringer; Arnaud Triay
The free energy of dilute Bose gases at low temperatures Preprint
2023.
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title = {The free energy of dilute Bose gases at low temperatures},
author = {Florian Haberberger and Christian Hainzl and Phan Thành Nam and Robert Seiringer and Arnaud Triay},
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Christian Hainzl; Martin Ravn Christiansen; Phan Thành Nam
The Gell-Mann–Brueckner Formula for the Correlation Energy of the Electron Gas: A Rigorous Upper Bound in the Mean-Field Regime Journal Article
In: Communications in Mathematical Physics, vol. 401, pp. 1469–1529, 2023.
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title = {The Gell-Mann–Brueckner Formula for the Correlation Energy of the Electron Gas: A Rigorous Upper Bound in the Mean-Field Regime},
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Leon Bollmann; Peter Müller
The Widom-Sobolev formula for discontinuous matrix-valued symbols Preprint
2023.
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title = {The Widom-Sobolev formula for discontinuous matrix-valued symbols},
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url = {https://arxiv.org/abs/2311.06036},
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