-
A Correlational Bound for Eigenvalues of Fermionic 2-Body Operators
https://arxiv.org/abs/2505.21167_____
-
A div-curl inequality for orthonormal functions
http://yokohamapublishers.jp/online2/oppafa/vol9/p1083.html_____
-
A Framework for Universality in Physics, Computer Science, and Beyond
https://doi.org/10.46298/compositionality-6-3_____
-
A generic quantum Wielandt’s inequality
https://doi.org/10.22331/q-2024-05-02-1331_____
-
A Jensen inequality for partial traces and applications to partially semiclassical limits
https://doi.org/10.1007/s11005-025-01938-9_____
-
A note on Hall conductance and Hall conductivity in interacting Fermion systems
https://arxiv.org/abs/2506.13581_____
-
A parallel Basis Update and Galerkin Integrator for Tree Tensor Networks
https://arxiv.org/abs/2412.00858_____
-
A parallel rank-adaptive integrator for dynamical low-rank approximation
https://arxiv.org/abs/2304.05660_____
-
A Parisi Formula for Quantum Spin Glasses
https://arxiv.org/abs/2403.06155_____
-
A robust second-order low-rank BUG integrator based on the midpoint rule
https://arxiv.org/abs/2402.08607_____
-
A second order upper bound to the free energy of the two dimensional Bose gas
https://arxiv.org/abs/2604.10270_____
-
A Short Proof of Bose–Einstein Condensation in the Gross–Pitaevskii Regime and Beyond
https://doi.org/10.1007/s00023-024-01465-8_____
-
A Tensor-Train Framework for Bayesian Inference in High-Dimensional Systems: Applications to MIMO Detection and Channel Decoding
https://arxiv.org/abs/2604.05890_____
-
Adiabatically driven dissipative many-body quantum spin systems
https://arxiv.org/abs/2509.12075_____
-
Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion
https://arxiv.org/abs/2301.08005_____
-
An almost-almost-Schur lemma on the 3-sphere
https://arxiv.org/abs/2510.25723_____
-
An enhanced term in the Szegő-type asymptotics for the free massless Dirac operator
https://arxiv.org/abs/2503.18622_____
-
An optimal lower bound for the low density Fermi gas in three dimensions
https://arxiv.org/abs/2410.08904_____
-
An optimal upper bound for the dilute Fermi gas in three dimensions
https://doi.org/10.1016/j.jfa.2023.110073_____
-
Asymptotic initial value representation of the solutions of semi-classical systems presenting smooth codimension one crossings
https://arxiv.org/abs/2305.17053_____
-
Automorphic equivalence within gapped phases of infinitely extended fermion systems
https://arxiv.org/abs/2507.13321_____
-
BCS Critical Temperature on Half-Spaces
https://doi.org/10.1007/s00205-025-02088-x_____
-
Belavkin-Staszewski Quantum Markov Chains
https://arxiv.org/abs/2501.09708_____
-
Bound on the Excess Charge of Generalized Thomas-Fermi-Weizsäcker Functionals
https://doi.org/10.1063/5.0264498_____
-
Canonical Typicality for Other Ensembles than Micro-canonical
https://link.springer.com/article/10.1007/s00023-024-01466-7_____
-
Ángela Capel, Anirban N. Chowdhury, Arkin Tikku, Hamza Fawzi, Isaac H. Kim, Omar Fawzi, Samuel O. Scalet
Classical Estimation of the Free Energy and Quantum Gibbs Sampling from the Markov Entropy Decomposition
https://arxiv.org/abs/2504.17405_____
-
Complexity of Gottesman-Kitaev-Preskill states
https://doi.org/10.1103/4ww5-4yww_____
-
Computing the spectrum and pseudospectrum of infinite-volume operators from local patches
https://doi.org/10.1090/mcom/4075_____
-
Concentration of eigenfunctions on singular Riemannian manifolds
https://arxiv.org/abs/2410.20563_____
-
Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
https://arxiv.org/abs/2402.18500_____
-
Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
https://arxiv.org/abs/2402.18500_____
-
Continuity bounds for quantum entropies arising from a fundamental entropic inequality
https://arxiv.org/abs/2408.15306_____
-
Continuity of Quantum Entropic Quantities via Almost Convexity
https://doi.org/10.1109/TIT.2023.3277892_____
-
Counting negative eigenvalues for the magnetic Pauli operator
https://doi.org/10.1215/00127094-2024-0029_____
-
Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator
https://doi.org/10.1016/j.matpur.2024.103598_____
-
Decoherence is an echo of Anderson localization in open quantum systems
https://arxiv.org/abs/2310.09880_____
-
Degenerate Stability of the Caffarelli-Kohn-Nirenberg Inequality along the Felli-Schneider Curve
https://link.springer.com/article/10.1007/s00526-023-02641-0Calculus of Variations and Partial Differential Equations
Volume 63, article number 44
_____
-
Derivation of Hartree theory for two-dimensional attractive Bose gases in very dilute regime
https://doi.org/10.48550/arXiv.2410.23150_____
-
Derivation of Hartree theory for two-dimensional attractive Bose gases in very dilute regime
https://arxiv.org/abs/2410.23150_____
-
Derivation of the time-dependent Hartree equations for strongly interacting dense fermionic systems
https://arxiv.org/abs/2507.12390_____
-
Dynamics and equilibrium states of infinite systems of lattice bosons
https://arxiv.org/abs/2505.13170_____
-
Dynamics generated by spatially growing derivations on quasi-local algebras
https://arxiv.org/abs/2511.02941_____
-
Effective Dynamics of Extended Fermi Gases in the High-Density Regime
https://doi.org/10.1007/s00220-023-04677-x_____
-
Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime
https://doi.org/10.1007/s00220-025-05393-4_____
-
Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas
https://link.springer.com/article/10.1007/s00023-024-01532-0_____
-
Effective quantum dynamics for magnetic fermions
https://arxiv.org/abs/2406.15041_____
-
Energy preserving evolutions over Bosonic systems
https://doi.org/10.22331/q-2024-12-04-1551_____
-
Enhanced area law in the Widom-Sobolev formula for the free Dirac operator in arbitrary dimension
https://arxiv.org/abs/2405.14356_____
-
Enhanced Lieb-Robinson bounds for a class of Bose-Hubbard type Hamiltonians
https://arxiv.org/abs/2405.04672_____
-
Enhanced Lieb-Robinson bounds for commuting long-range interactions
https://arxiv.org/abs/2411.19241_____
-
Enhanced Superconductivity at a Corner for the Linear BCS Equation
https://doi.org/10.1017/fms.2024.145_____
-
Entanglement entropy bounds for pure states of rapid decorrelation
https://doi.org/10.1007/s00220-025-05324-3_____
-
Equality of magnetization and edge current for interacting lattice fermions at positive temperature
https://doi.org/10.1007/s11040-024-09495-8_____
-
Christian B. Mendl, Guido Mazzuca, Herbert Spohn, Kenneth T.-R. McLaughlin, Tamara Grava, Thomas Kriecherbauer
Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale
https://doi.org/10.1007/s10955-023-03155-x_____
-
Explicit minimisers for anisotropic Riesz energies
https://arxiv.org/abs/2504.11644_____
-
Exponential decay of the number of excitations in the weakly interacting Bose gas
https://arxiv.org/abs/2307.11062_____
-
Factoring an integer with three oscillators and a qubit
https://arxiv.org/abs/2412.13164_____
-
From decay of correlations to locality and stability of the Gibbs state
https://arxiv.org/abs/2310.09182_____
-
FSSH-2: Fewest Switches Surface Hopping with robust switching probability
https://pubs.acs.org/doi/10.1021/acs.jctc.4c00089_____
-
General Continuity Bounds for Quantum Relative Entropies
https://doi.org/10.1109/ISIT54713.2023.10206734_____
-
Grand-Canonical Typicality
https://arxiv.org/abs/2601.03253_____
-
Ground state energy of a dilute Bose gas with three-body hard-core interactions
https://arxiv.org/abs/2406.09019_____
-
Ground state energy of the dilute spin-polarized Fermi gas: Lower bound
https://arxiv.org/abs/2402.17558_____
-
Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion
https://arxiv.org/abs/2301.04894_____
-
Ground state energy of the low density Bose gas with two-body and three-body interactions
https://arxiv.org/abs/2402.05646_____
-
Hard rod hydrodynamicsand the Lévy Chentsov field
https://www.doi.org/10.21711/217504322023/em387_____
-
Hardy inequalities for large fermionic systems
https://ems.press/journals/jst/articles/14297879_____
-
Hay from the Haystack: Explicit Examples of Exponential Quantum Circuit Complexity
https://doi.org/10.1007/s00220-023-04720-x_____
-
Heisenberg-limited Hamiltonian learning continuous variable systems via engineered dissipation
https://arxiv.org/abs/2506.00606_____
-
Hilbert-Schmidt norm estimates for fermionic reduced density matrices
https://doi.org/10.48550/arXiv.2504.03488_____
-
Hilbert–Schmidt Estimates for Fermionic 2-Body Operators
https://doi.org/10.1007/s00220-023-04914-3_____
-
Hydrodynamic Scales of Integrable Many-Body Systems
https://doi.org/10.1142/13600_____
-
Improved semiclassical eigenvalue estimates for the Laplacian and the Landau Hamiltonian
https://arxiv.org/abs/2502.02388_____
-
Inequalities between Dirichlet and Neumann eigenvalues on Carnot groups
https://arxiv.org/abs/2411.11168_____
-
Information propagation in long-range quantum many-body systems
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.108.L060401_____
-
Instantaneous Sobolev Regularization for Dissipative Bosonic Dynamics
https://arxiv.org/abs/2512.04066_____
-
Learning and certification of local time-dependent quantum dynamics and noise
https://arxiv.org/abs/2510.08500_____
-
Learning Coulomb Potentials and Beyond with Fermions in Continuous Space
https://arxiv.org/abs/2510.08471_____
-
Lieb-Robinson bounds, automorphic equivalence and LPPL for long-range interacting fermions
https://arxiv.org/abs/2507.03319_____
-
Lieb-Thirring inequalities for large quantum systems with inverse nearest-neighbor interactions
https://arxiv.org/abs/2501.00866_____
-
Lieb–Thirring Inequality for the 2D Pauli Operator
https://doi.org/10.1007/s00220-024-05177-2_____
-
Dong Hao Ou Yang, Israel Michael Sigal, Jérémy Faupin, Jingxuan Zhang, Marius Lemm, Sébastien Breteaux
Light cones for open quantum systems
https://arxiv.org/abs/2303.08921_____
-
Linear Criterion for an Upper Bound on the BCS Critical Temperature
https://doi.org/10.1063/5.0230179_____
-
Local enhancement of the mean-field approximation for bosons
https://arxiv.org/abs/2412.13868_____
-
Low-rank Tree Tensor Network Operators for Long-Range Pairwise Interactions
https://arxiv.org/abs/2405.09952_____
-
Macroscopic suppression of supersonic quantum transport
https://arxiv.org/abs/2503.19788_____
-
Macroscopic Thermalization for Highly Degenerate Hamiltonians After Slight Perturbation
https://doi.org/10.1007/s10955-025-03493-y_____
-
Mass-Critical Neutron Stars in the Hartree-Fock and Hartree-Fock-Bogoliubov Theories
https://arxiv.org/abs/2504.16462_____
-
Mathematical physics of dilute Bose gases
https://arxiv.org/abs/2504.03314_____
-
Mermin-Wagner theorems for quantum systems with multipole symmetries
https://doi.org/10.48550/arXiv.2601.23078_____
-
Minimizers for an aggregation model with attractive-repulsive interaction
https://arxiv.org/abs/2307.13769_____
-
Minimizing Schrödinger eigenvalues for confining potentials
https://arxiv.org/abs/2407.15103_____
-
Minimizing sequences of Sobolev inequalities revisited
https://arxiv.org/abs/2412.08616_____
-
More on the tensionless limit of pure-Ramond-Ramond AdS3/CFT2
https://doi.org/10.1007/JHEP12(2023)160_____
-
Multi-band superconductors have enhanced critical temperatures
https://arxiv.org/abs/2409.17297_____
-
Multi-band superconductors have enhanced critical temperatures
https://arxiv.org/abs/2409.17297_____
-
Multi-product Zeno effect with higher order convergence rates
https://arxiv.org/abs/2410.16260_____
-
Near linearity of the macroscopic Hall current response in infinitely extended gapped fermion systems
https://doi.org/10.1007/s00220-025-05361-y_____
-
Negative Spectrum of Schrödinger Operators with Rapidly Oscillating Potentials
https://doi.org/10.1007/s00023-024-01457-8_____
-
Normal typicality and dynamical typicality for a random block-band matrix model
https://doi.org/10.1007/s11005-025-02037-5_____
-
Numerical simulation of long-range open quantum many-body dynamics with tree tensor networks
https://doi.org/10.1103/PhysRevA.109.022420_____
-
On a bulk gap strategy for quantum lattice models
https://arxiv.org/abs/2308.01405_____
-
On Bourgain’s approach to stochastic homogenization
https://arxiv.org/abs/2406.09909_____
-
On Courant and Pleijel theorems for sub-Riemannian Laplacians
https://arxiv.org/abs/2402.13953_____
-
On Lieb-Robinson bounds for a class of continuum fermions
https://arxiv.org/abs/2310.17736_____
-
On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications
https://doi.org/10.22331/q-2024-07-25-1424_____
-
On the asymptotic number of low-lying states in the two-dimensional confined Stark effect
https://arxiv.org/abs/2404.14363_____
-
On the critical finite-size gap scaling for frustration-free Hamiltonians
https://doi.org/10.1142/S0129055X25500151_____
-
On the mean-field limit of Vlasov-Poisson-Fokker-Planck equations
https://arxiv.org/abs/2505.13038_____
-
On the microscopic propagation speed of long-range quantum many-body systems
https://arxiv.org/abs/2310.14896_____
-
On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians
https://arxiv.org/abs/2505.01786_____
-
On the return probability of the simple random walk on Galton-Watson trees
https://doi.org/10.1214/25-EJP1266_____
-
On the set of reduced states of translation invariant, infinite quantum systems
https://doi.org/10.1007/s11005-024-01776-1_____
-
On the thermodynamic limit of interacting fermions in the continuum
https://doi.org/10.1007/s11005-025-01919-y_____
-
Open problem: Violation of locality for Schrödinger operators with complex potentials
https://arxiv.org/abs/2409.11285_____
-
Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
https://doi.org/10.22331/q-2025-01-13-1587_____
-
Particle scattering and fusion for the Ablowitz-Ladik chain
https://iopscience.iop.org/article/10.1088/1751-8121/ad6411_____
-
Periodicity of Atomic Structure in a Thomas-Fermi Mean-Field Model
https://doi.org/10.1007/s00220-025-05418-y_____
-
Pressure of a dilute spin-polarized Fermi gas: Lower bound
https://doi.org/10.1017/fms.2024.56_____
-
Pressure of a dilute spin-polarized Fermi gas: Upper bound
https://arxiv.org/abs/2407.05990_____
-
Provably Efficient Learning of Phases of Matter via Dissipative Evolutions
https://arxiv.org/abs/2311.07506_____
-
Quantitative Lorentzian isoperimetric inequalities
https://arxiv.org/abs/2510.26755_____
-
Quantitative Lorentzian isoperimetric inequalities
https://arxiv.org/abs/2510.26755_____
-
Quantum fluctuations of many-body dynamics around the Gross–Pitaevskii equation
https://doi.org/10.4171/aihpc/132_____
-
Quantum Spin Systems
https://arxiv.org/abs/2308.07848_____
-
Quantum tomography from the evolution of a single expectation
https://arxiv.org/abs/2501.10118_____
-
Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics
https://arxiv.org/abs/2412.01732_____
-
Random walks with square-root boundaries: the case of exact boundaries g(t)=c\sqrt{t+b}-a
https://arxiv.org/abs/2501.04554_____
-
Rank-Adaptive Time Integration of Tree Tensor Networks
https://doi.org/10.1137/22M1473790_____
-
Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians
https://doi.org/10.1007/s00220-025-05353-y_____
-
Recursive spectral relations and the charge vs neutral gap in fractional quantum Hall systems
https://doi.org/10.1063/5.0292975_____
-
Regularized dynamical parametric approximation
https://arxiv.org/abs/2403.19234_____
-
Regularized dynamical parametric approximation of stiff evolution problems
https://arxiv.org/abs/2501.12118_____
-
Relativistic Exchange Bounds
https://arxiv.org/abs/2408.17158_____
-
Response theory for locally gapped systems
https://arxiv.org/abs/2410.10809_____
-
Revisiting the tensionless limit of pure-Ramond-Ramond AdS3/CFT2
https://arxiv.org/abs/2512.15697_____
-
Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains
https://doi.org/10.1007/s00222-025-01352-x_____
-
Sampling strategies for expectation values within the Herman–Kluk approximation
https://arxiv.org/abs/2408.00130_____
-
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
https://arxiv.org/abs/2410.04769_____
-
Sharp quantitative integral inequalities for harmonic extensions
https://arxiv.org/abs/2508.09940_____
-
Spectral asymptotics for Robin Laplacians on Lipschitz sets
https://arxiv.org/abs/2410.22238_____
-
Stability of thermal equilibrium in long-range quantum systems
https://arxiv.org/abs/2506.16451_____
-
Strong decay of correlations for Gibbs states in any dimension
https://doi.org/10.1007/s10955-025-03512-y_____
-
Structure-Preserving Integration for Magnetic Gaussian Wave Packet Dynamics
https://arxiv.org/abs/2603.25596_____
-
Tensionless Limit of Pure–RamondRamond Strings and AdS 3/CFT 2
https://doi.org/10.1103/PhysRevLett.131.161604_____
-
The charge gap is greater than the neutral gap in fractional quantum Hall systems
https://arxiv.org/abs/2410.11645_____
-
The CKN inequality for spinors: symmetry and symmetry breaking
https://arxiv.org/abs/2504.16909_____
-
The Correlation Energy of the Electron Gas in the Mean-Field Regime
https://arxiv.org/abs/2405.01386_____
-
The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime
https://doi.org/10.1007/s00205-025-02112-0_____
-
The free energy of dilute Bose gases at low temperatures
https://arxiv.org/abs/2304.02405_____
-
The free energy of dilute Bose gases at low temperatures interacting via strong potentials
https://doi.org/10.1007/s00023-026-01676-1_____
-
The Gaussian wave packet transform via quadrature rules
https://doi.org/10.1093/imanum/drad049_____
-
The Gell-Mann–Brueckner Formula for the Correlation Energy of the Electron Gas: A Rigorous Upper Bound in the Mean-Field Regime
https://doi.org/10.1007/s00220-023-04672-2_____
-
The generalized adiabatic theorem for extended lattice systems
https://arxiv.org/abs/2510.20914_____
-
The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
https://doi.org/10.1063/5.0257543_____
-
The Huang-Yang conjecture for the low-density Fermi gas
https://arxiv.org/abs/2505.22340_____
-
The Huang-Yang formula for the low-density Fermi gas: upper bound
https://arxiv.org/abs/2409.17914_____
-
The sharp σ_2-curvature inequality on the sphere in quantitative form
https://arxiv.org/abs/2412.12819_____
-
The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems
https://doi.org/10.1017/fms.2023.111_____
-
The Widom-Sobolev formula for discontinuous matrix-valued symbols
https://arxiv.org/abs/2311.06036_____
-
Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime
https://arxiv.org/abs/2311.07433_____
-
Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
https://arxiv.org/abs/2506.04153_____
-
Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation
https://doi.org/10.1016/j.jcp.2025.114349_____
-
Two classes of quantum spin systems that are gapped on any bounded-degree graph
https://arxiv.org/abs/2509.22438_____
-
Typical Macroscopic Long-Time Behavior for Random Hamiltonians
https://doi.org/10.1007/s00023-024-01521-3_____
-
Undecidability in Physics: a Review
https://arxiv.org/abs/2410.16532_____
-
Undecidability in Physics: a Review
https://arxiv.org/abs/2410.16532_____
-
Understanding Resonant Inelastic X-ray Scattering Experiments of Diazines via Quantum Dynamics Simulation†
https://doi.org/10.26434/chemrxiv.15002315/v1_____
-
Unified framework for continuity of sandwiched Rényi divergences
https://doi.org/10.1007/s00023-024-01519-x_____
-
Universal behavior of the BCS energy gap
https://doi.org/10.4171/JST/540_____
-
Universal efficiency boost in prethermal quantum heat engines at negative temperature
https://doi.org/10.1038/s41467-025-66424-1_____
-
Universality in low-dimensional BCS theory
https://doi.org/10.1142/S0129055X2360005X_____
-
Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
https://doi.org/10.1016/j.aim.2026.110825_____
-
Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate
https://doi.org/10.1103/3zd3-rxhp_____
-
Variational Gaussian approximation for the magnetic Schrödinger equation
https://iopscience.iop.org/article/10.1088/1751-8121/ad591e_____
-
Weighted CLR type bounds in two dimensions
https://doi.org/10.1090/tran/9124_____
2026
Journal Articles
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.
Abstract | Links | BibTeX | Tags:
@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}
}
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.
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}
}
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}
}
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}
}
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}
}
Preprints
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}
}
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}
}
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}
}
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}
}
2025
Journal Articles
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}
}
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}
}
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}
}
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}
}
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},
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}
}
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},
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}
}
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},
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}
}
Michael Aizenman; Simone Warzel
Entanglement entropy bounds for pure states of rapid decorrelation Journal Article
In: Communications in Mathematical Physics, vol. 406, no. 7, pp. 171, 2025.
@article{Aizenman2025EntanglementEntropyRapidDecorrelation,
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 = {2025-01-01},
journal = {Communications in Mathematical Physics},
volume = {406},
number = {7},
pages = {171},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
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},
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}
}
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},
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}
}