-
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_____
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A Framework for Universality in Physics, Computer Science, and Beyond
https://doi.org/10.46298/compositionality-6-3_____
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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://arxiv.org/abs/2502.09160_____
-
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 Short Proof of Bose–Einstein Condensation in the Gross–Pitaevskii Regime and Beyond
https://doi.org/10.1007/s00023-024-01465-8_____
-
Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion
https://arxiv.org/abs/2301.08005_____
-
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_____
-
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://arxiv.org/abs/2502.15444_____
-
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_____
-
Computing the spectrum and pseudospectrum of infinite-volume operators from local patches
https://arxiv.org/abs/2403.19055_____
-
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_____
-
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_____
-
Dynamics and equilibrium states of infinite systems of lattice bosons
https://arxiv.org/abs/2505.13170_____
-
Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime
https://arxiv.org/abs/2409.14841_____
-
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://arxiv.org/abs/2307.13801_____
-
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/10.48550/arXiv.2406.10194_____
-
Equality of magnetization and edge current for interacting lattice fermions at positive temperature
https://doi.org/10.1007/s11040-024-09495-8_____
-
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_____
-
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_____
-
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_____
-
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_____
-
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
https://arxiv.org/abs/2408.15832_____
-
Macroscopic Thermalization for Highly Degenerate Hamiltonians After Slight Perturbation
https://arxiv.org/abs/2408.15832_____
-
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_____
-
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_____
-
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://arxiv.org/abs/2411.06967_____
-
Negative Spectrum of Schrödinger Operators with Rapidly Oscillating Potentials
https://doi.org/10.1007/s00023-024-01457-8_____
-
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://arxiv.org/abs/2404.01422_____
-
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://arxiv.org/abs/2409.09685_____
-
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_____
-
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_____
-
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://arxiv.org/abs/2404.16780_____
-
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_____
-
Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains
https://arxiv.org/abs/2407.11808_____
-
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_____
-
Strong decay of correlations for Gibbs states in any dimension
https://arxiv.org/abs/2401.10147_____
-
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 complexity of Gottesman-Kitaev-Preskill states
https://arxiv.org/abs/2410.19610_____
-
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://arxiv.org/abs/2408.14222_____
-
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 Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
https://arxiv.org/abs/2411.07046_____
-
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_____
-
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_____
-
Unified framework for continuity of sandwiched Rényi divergences
https://arxiv.org/abs/2308.12425_____
-
Universal behavior of the BCS energy gap
https://arxiv.org/abs/2312.11310_____
-
Universal efficiency boost in prethermal quantum heat engines
https://arxiv.org/abs/2504.02044_____
-
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://arxiv.org/abs/2405.03378_____
-
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_____
Publications
Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – TRR 352 – Project-ID 470903074