Publications

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@article{Larson2025RobinLaplaciansLipschitz,

title = {Spectral Asymptotics for Robin Laplacians on Lipschitz Sets},

author = {Simon Larson and Rupert L. Frank},

url = {https://doi.org/10.1134/S1234567825030061},

doi = {10.1134/S1234567825030061},

year  = {2025},

date = {2025-01-01},

journal = {Functional Analysis and Its Applications},

volume = {59},

pages = {277–296},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Fournais2025MagneticPauliNegativeEigenvalues,

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},

url = {https://doi.org/10.1215/00127094-2024-0029},

doi = {10.1215/00127094-2024-0029},

year  = {2025},

date = {2025-01-01},

journal = {Duke Mathematical Journal},

volume = {174},

number = {2},

pages = {313–353},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Bjerg2025ThomasFermiPeriodicity,

title = {Periodicity of Atomic Structure in a Thomas-Fermi Mean-Field Model},

author = {August Bjerg and Jan Philip Solovej},

url = {https://doi.org/10.1007/s00220-025-05418-y},

doi = {10.1007/s00220-025-05418-y},

year  = {2025},

date = {2025-01-01},

journal = {Communications in Mathematical Physics},

volume = {406},

number = {11},

pages = {258},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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},

url = {https://doi.org/10.1007/s11005-025-01938-9},

doi = {10.1007/s11005-025-01938-9},

year  = {2025},

date = {2025-01-01},

journal = {Letters in Mathematical Physics},

volume = {115},

number = {3},

pages = {52},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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},

doi = {10.1112/jlms.70406},

year  = {2025},

date = {2025-01-01},

journal = {Journal of the London Mathematical Society},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Roos2025BCSCriticalHalfSpaces,

title = {BCS Critical Temperature on Half-Spaces},

author = {Barbara Roos and Robert Seiringer},

url = {https://doi.org/10.1007/s00205-025-02088-x},

doi = {10.1007/s00205-025-02088-x},

year  = {2025},

date = {2025-01-01},

journal = {Archive for Rational Mechanics and Analysis},

volume = {249},

pages = {20},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Bluhm2025BelavkinStaszewskiQMC,

title = {Belavkin–Staszewski Quantum Markov Chains},

author = {Andreas Bluhm and Ángela Capel and Pablo Costa Rico and Anna Jenčová},

url = {https://doi.org/10.1007/s00023-025-01644-1},

doi = {10.1007/s00023-025-01644-1},

year  = {2025},

date = {2025-01-01},

journal = {Annales Henri Poincaré},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Benguria2025ExcessChargeTFW,

title = {Bound on the Excess Charge of Generalized Thomas-Fermi-Weizsäcker Functionals},

author = {Rafael D. Benguria and Heinz Siedentop},

url = {https://doi.org/10.1063/5.0264498},

doi = {10.1063/5.0264498},

year  = {2025},

date = {2025-01-01},

journal = {Journal of Mathematical Physics},

volume = {66},

number = {7},

pages = {072103},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Vogel2025CanonicalTypicalityOtherEnsembles,

title = {Canonical Typicality for Other Ensembles than Micro-canonical},

author = {Cornelia Vogel and Roderich Tumulka and Stefan Teufel},

url = {https://doi.org/10.1007/s00023-024-01466-7},

doi = {10.1007/s00023-024-01466-7},

year  = {2025},

date = {2025-01-01},

journal = {Annales Henri Poincaré},

volume = {26},

pages = {1477–1518},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Caha2025ComplexityGKPStates,

title = {Complexity of Gottesman-Kitaev-Preskill states},

author = {Libor Caha and Lukas Brenner and Robert Koenig and Xavier Coiteux-Roy},

url = {https://doi.org/10.1103/4ww5-4yww},

doi = {10.1103/4ww5-4yww},

year  = {2025},

date = {2025-01-01},

journal = {Physical Review X},

volume = {15},

pages = {031073},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Moscolari2025SpectrumPseudospectrumLocalPatches,

title = {Computing the spectrum and pseudospectrum of infinite-volume operators from local patches},

author = {Massimo Moscolari and Paul Hege and Stefan Teufel},

url = {https://doi.org/10.1090/mcom/4075},

doi = {10.1090/mcom/4075},

year  = {2025},

date = {2025-01-01},

journal = {Mathematics of Computation},

volume = {95},

pages = {833–866},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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},

url = {https://doi.org/10.1007/s00220-025-05393-4},

doi = {10.1007/s00220-025-05393-4},

year  = {2025},

date = {2025-01-01},

journal = {Communications in Mathematical Physics},

volume = {406},

number = {10},

pages = {247},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hoang2025EffectivePolaronDynamicsFermiGas,

title = {Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas},

author = {Duc Viet Hoang and Peter Pickl},

url = {https://doi.org/10.1007/s00023-024-01532-0},

doi = {10.1007/s00023-024-01532-0},

year  = {2025},

date = {2025-01-01},

journal = {Annales Henri Poincaré},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Roos2025EnhancedSuperconductivityCorner,

title = {Enhanced Superconductivity at a Corner for the Linear BCS Equation},

author = {Barbara Roos and Robert Seiringer},

url = {https://doi.org/10.1017/fms.2024.145},

doi = {10.1017/fms.2024.145},

year  = {2025},

date = {2025-01-01},

journal = {Forum of Mathematics, Sigma},

volume = {13},

pages = {e71},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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},

url = {https://doi.org/10.1007/s00220-024-05198-x},

doi = {10.1007/s00220-024-05198-x},

year  = {2025},

date = {2025-01-01},

journal = {Communications in Mathematical Physics},

volume = {406},

pages = {43},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Kovarik2025LiebThirring2DPauli,

title = {Lieb–Thirring Inequality for the 2D Pauli Operator},

author = {Hynek Kovařík and Rupert L. Frank},

url = {https://doi.org/10.1007/s00220-024-05177-2},

doi = {10.1007/s00220-024-05177-2},

year  = {2025},

date = {2025-01-01},

journal = {Communications in Mathematical Physics},

volume = {406},

pages = {23},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Roos2025LinearCriterionBCS,

title = {Linear Criterion for an Upper Bound on the BCS Critical Temperature},

author = {Barbara Roos},

url = {https://doi.org/10.1063/5.0230179},

doi = {10.1063/5.0230179},

year  = {2025},

date = {2025-01-01},

journal = {Journal of Mathematical Physics},

volume = {66},

pages = {011901},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@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}

}

@article{Capel2024QuantumWielandt,

title = {A generic quantum Wielandt's inequality},

author = {Ángela Capel and Yifan Jia},

url = {https://doi.org/10.22331/q-2024-05-02-1331},

doi = {10.22331/q-2024-05-02-1331},

year  = {2024},

date = {2024-01-01},

journal = {Quantum},

volume = {8},

pages = {1331},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Brennecke2024ShortProofBECGP,

title = {A Short Proof of Bose–Einstein Condensation in the Gross–Pitaevskii Regime and Beyond},

author = {Christian Brennecke and Cristina Caraci and Jakob Oldenburg and Morris Brooks},

url = {https://doi.org/10.1007/s00023-024-01465-8},

doi = {10.1007/s00023-024-01465-8},

year  = {2024},

date = {2024-01-01},

journal = {Annales Henri Poincaré},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Duong2024CLRHARDYSchrodinger,

title = {Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator},

author = {Giao Ky Duong and Phan Thành Nam and Phuoc-Tai Nguyen and Rupert L. Frank and Thi Minh Thao Le},

url = {https://doi.org/10.1016/j.matpur.2024.103598},

doi = {10.1016/j.matpur.2024.103598},

year  = {2024},

date = {2024-01-01},

journal = {Journal de Mathématiques Pures et Appliquées},

volume = {190},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Peteranderl2024DegenerateStabilityCKN,

title = {Degenerate Stability of the Caffarelli-Kohn-Nirenberg Inequality along the Felli-Schneider Curve},

author = {Jonas W. Peteranderl and Rupert L. Frank},

url = {https://doi.org/10.1007/s00526-023-02641-0},

doi = {10.1007/s00526-023-02641-0},

year  = {2024},

date = {2024-01-01},

journal = {Calculus of Variations and Partial Differential Equations},

volume = {63},

pages = {44},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Rouze2024EnergyPreservingBosonic,

title = {Energy preserving evolutions over Bosonic systems},

author = {Cambyse Rouzé and Paul Gondolf and Tim Möbus},

url = {https://doi.org/10.22331/q-2024-12-04-1551},

doi = {10.22331/q-2024-12-04-1551},

year  = {2024},

date = {2024-01-01},

journal = {Quantum},

volume = {8},

pages = {1551},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Lampart2024MagnetizationEdgeCurrent,

title = {Equality of magnetization and edge current for interacting lattice fermions at positive temperature},

author = {Jonas Lampart and Massimo Moscolari and Stefan Teufel and Tom Wessel},

url = {https://doi.org/10.1007/s11040-024-09495-8},

doi = {10.1007/s11040-024-09495-8},

year  = {2024},

date = {2024-01-01},

journal = {Mathematical Physics, Analysis and Geometry},

volume = {27},

pages = {24},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Schmidt2024FSSH2,

title = {FSSH-2: Fewest Switches Surface Hopping with robust switching probability},

author = {Burkhard Schmidt and Caroline Lasser and Leonardo Araujo},

url = {https://doi.org/10.1021/acs.jctc.4c00089},

doi = {10.1021/acs.jctc.4c00089},

year  = {2024},

date = {2024-01-01},

journal = {Journal of Chemical Theory and Computation},

volume = {20},

pages = {3413},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Laptev2024HardyInequalitiesLargeFermionic,

title = {Hardy inequalities for large fermionic systems},

author = {Ari Laptev and Jan Philip Solovej and Rupert L. Frank and Thomas Hoffmann-Ostenhof},

url = {https://ems.press/journals/jst/articles/14297879},

year  = {2024},

date = {2024-01-01},

journal = {Journal of Spectral Theory},

volume = {14},

number = {2},

pages = {805–835},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Christiansen2024HilbertSchmidtFermionic2Body,

title = {Hilbert–Schmidt Estimates for Fermionic 2-Body Operators},

author = {Martin Ravn Christiansen},

url = {https://doi.org/10.1007/s00220-023-04914-3},

doi = {10.1007/s00220-023-04914-3},

year  = {2024},

date = {2024-01-01},

journal = {Communications in Mathematical Physics},

volume = {405},

pages = {18},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Sulz2024LongRangeOpenQuantumTTN,

title = {Numerical simulation of long-range open quantum many-body dynamics with tree tensor networks},

author = {Dominik Sulz and Christian Lubich and Gianluca Ceruti and Igor Lesanovsky},

url = {https://doi.org/10.1103/PhysRevA.109.022420},

doi = {10.1103/PhysRevA.109.022420},

year  = {2024},

date = {2024-01-01},

journal = {Physical Review A},

volume = {109},

pages = {022420},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Mobus2024TrotterZenoBosonic,

title = {On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications},

author = {Tim Möbus},

url = {https://doi.org/10.22331/q-2024-07-25-1424},

doi = {10.22331/q-2024-07-25-1424},

year  = {2024},

date = {2024-01-01},

journal = {Quantum},

volume = {8},

pages = {1424},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Wolf2024ReducedStatesTranslationInvariant,

title = {On the set of reduced states of translation invariant, infinite quantum systems},

author = {Michael M. Wolf and Vjosa Blakaj},

url = {https://doi.org/10.1007/s11005-024-01776-1},

doi = {10.1007/s11005-024-01776-1},

year  = {2024},

date = {2024-01-01},

journal = {Letters in Mathematical Physics},

volume = {114},

pages = {28},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Brollo2024AblowitzLadikScattering,

title = {Particle scattering and fusion for the Ablowitz-Ladik chain},

author = {Alberto Brollo and Herbert Spohn},

url = {https://doi.org/10.1088/1751-8121/ad6411},

doi = {10.1088/1751-8121/ad6411},

year  = {2024},

date = {2024-01-01},

journal = {Journal of Physics A: Mathematical and Theoretical},

volume = {57},

pages = {325202},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Lauritsen2024PressureSpinPolarizedLower,

title = {Pressure of a dilute spin-polarized Fermi gas: Lower bound},

author = {Asbjørn Bækgaard Lauritsen and Robert Seiringer},

url = {https://doi.org/10.1017/fms.2024.56},

doi = {10.1017/fms.2024.56},

year  = {2024},

date = {2024-01-01},

journal = {Forum of Mathematics, Sigma},

volume = {12},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Schlein2024QuantumFluctuationsGP,

title = {Quantum fluctuations of many-body dynamics around the Gross–Pitaevskii equation},

author = {Benjamin Schlein and Cristina Caraci and Jakob Oldenburg},

url = {https://doi.org/10.4171/aihpc/132},

doi = {10.4171/aihpc/132},

year  = {2024},

date = {2024-01-01},

journal = {Annales de l'Institut Henri Poincaré C},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Lasser2024GaussianWavePacketTransform,

title = {The Gaussian wave packet transform via quadrature rules},

author = {Caroline Lasser and Paul Bergold},

url = {https://doi.org/10.1093/imanum/drad049},

doi = {10.1093/imanum/drad049},

year  = {2024},

date = {2024-01-01},

journal = {IMA Journal of Numerical Analysis},

volume = {44},

number = {3},

pages = {1785–1820},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Bluhm2024UnifiedRenyiContinuity,

title = {Unified framework for continuity of sandwiched Rényi divergences},

author = {Andreas Bluhm and Ángela Capel and Paul Gondolf and Tim Möbus},

url = {https://doi.org/10.1007/s00023-024-01519-x},

doi = {10.1007/s00023-024-01519-x},

year  = {2024},

date = {2024-01-01},

journal = {Annales Henri Poincaré},

volume = {27},

pages = {1–50},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Lauritsen2024LowDimensionalBCS,

title = {Universality in low-dimensional BCS theory},

author = {Asbjørn Bækgaard Lauritsen and Barbara Roos and Joscha Henheik},

url = {https://doi.org/10.1142/S0129055X2360005X},

doi = {10.1142/S0129055X2360005X},

year  = {2024},

date = {2024-01-01},

journal = {Reviews in Mathematical Physics},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Dorich2024VariationalGaussianMagneticSchrodinger,

title = {Variational Gaussian approximation for the magnetic Schrödinger equation},

author = {Benjamin Dörich and Caroline Lasser and Marlis Hochbruck and Selina Burkhard},

url = {https://doi.org/10.1088/1751-8121/ad591e},

doi = {10.1088/1751-8121/ad591e},

year  = {2024},

date = {2024-01-01},

journal = {Journal of Physics A: Mathematical and Theoretical},

volume = {57},

pages = {295202},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Laptev2024WeightedCLR2D,

title = {Weighted CLR type bounds in two dimensions},

author = {Ari Laptev and Larry Read and Rupert L. Frank},

url = {https://doi.org/10.1090/tran/9124},

doi = {10.1090/tran/9124},

year  = {2024},

date = {2024-01-01},

journal = {Transactions of the American Mathematical Society},

volume = {377},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Manai_Warzel_2023,

title = {The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems},

author = {Chokri Manai and Simone Warzel},

doi = {10.1017/fms.2023.111},

year  = {2023},

date = {2023-01-01},

journal = {Forum of Mathematics, Sigma},

volume = {11},

pages = {e112},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{WarzelYoung2023BulkSpectralGap,

title = {A Bulk Spectral Gap in the Presence of Edge States for a Truncated Pseudopotential},

author = {Simone Warzel and Amanda Young},

url = {https://doi.org/10.1007/s00023-022-01210-z},

doi = {10.1007/s00023-022-01210-z},

year  = {2023},

date = {2023-01-01},

journal = {Annales Henri Poincaré},

volume = {24},

number = {1},

pages = {133–178},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Fresta2023ExtendedFermiGases,

title = {Effective Dynamics of Extended Fermi Gases in the High-Density Regime},

author = {Luca Fresta and Marcello Porta and Benjamin Schlein},

url = {https://doi.org/10.1007/s00220-023-04677-x},

doi = {10.1007/s00220-023-04677-x},

year  = {2023},

date = {2023-01-01},

journal = {Communications in Mathematical Physics},

volume = {401},

pages = {1701–1751},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Mazzuca2023TodaHydrodynamicScale,

title = {Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale},

author = {Guido Mazzuca and Tamara Grava and Thomas Kriecherbauer and Kenneth T. -R. McLaughlin and Christian B. Mendl and Herbert Spohn},

url = {https://doi.org/10.1007/s10955-023-03155-x},

doi = {10.1007/s10955-023-03155-x},

year  = {2023},

date = {2023-01-01},

journal = {Journal of Statistical Physics},

volume = {190},

pages = {149},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Giacomelli2023OptimalUpperDiluteFermi,

title = {An optimal upper bound for the dilute Fermi gas in three dimensions},

author = {Emanuela L. Giacomelli},

url = {https://doi.org/10.1016/j.jfa.2023.110073},

doi = {10.1016/j.jfa.2023.110073},

year  = {2023},

date = {2023-01-01},

journal = {Journal of Functional Analysis},

volume = {285},

pages = {110073},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Bluhm2023ContinuityQuantumEntropicAlmostConvexity,

title = {Continuity of Quantum Entropic Quantities via Almost Convexity},

author = {Andreas Bluhm and Ángela Capel and Paul Gondolf},

url = {https://doi.org/10.1109/TIT.2023.3277892},

doi = {10.1109/TIT.2023.3277892},

year  = {2023},

date = {2023-01-01},

journal = {IEEE Transactions on Information Theory},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Ferrari2023HardRodLevyChentsov,

title = {Hard rod hydrodynamics and the Lévy Chentsov field},

author = {Pablo A. Ferrari and Chiara Franceschini and Dante G. E. Grevino and Herbert Spohn},

url = {https://doi.org/10.21711/217504322023/em387},

doi = {10.21711/217504322023/em387},

year  = {2023},

date = {2023-01-01},

journal = {Ensaios Matemáticos},

number = {38},

pages = {185–222},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Wolf2023HayFromHaystack,

title = {Hay from the Haystack: Explicit Examples of Exponential Quantum Circuit Complexity},

author = {Michael M. Wolf and Yifan Jia},

url = {https://doi.org/10.1007/s00220-023-04720-x},

doi = {10.1007/s00220-023-04720-x},

year  = {2023},

date = {2023-01-01},

journal = {Communications in Mathematical Physics},

volume = {402},

pages = {141–156},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Rubiliani2023InformationPropagationLongRange,

title = {Information propagation in long-range quantum many-body systems},

author = {Carla Rubiliani and Israel Michael Sigal and Jingxuan Zhang and Marius Lemm},

url = {https://doi.org/10.1103/PhysRevA.108.L060401},

doi = {10.1103/PhysRevA.108.L060401},

year  = {2023},

date = {2023-01-01},

journal = {Physical Review A},

volume = {108},

pages = {L060401},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Brollo2023MoreTensionlessPureRR,

title = {More on the tensionless limit of pure-Ramond-Ramond AdS3/CFT2},

author = {Alberto Brollo and Dennis Plat and Alessandro Sfondrini and Ryo Suzuki},

url = {https://doi.org/10.1007/JHEP12(2023)160},

doi = {10.1007/JHEP12(2023)160},

year  = {2023},

date = {2023-01-01},

journal = {Journal of High Energy Physics},

volume = {2023},

pages = {160},

keywords = {},

pubstate = {published},

tppubtype = {article}

}