Publications
Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – TRR 352 – Project-ID 470903074
2025
Preprints
M. Scheifinger, K. Busch, M. Hochbruck, C. Lasser: Time-integration of Gaussian variational approximation for the magnetic Schrödinger equation, https://arxiv.org/abs/2504.03407
2024
Á. Capel, Y. Jia. A generic quantum Wielandt's inequality. Quantum 8, 1331 (2024), https://doi.org/10.22331/q-2024-05-02-1331.
V. Blakaj, M. Wolf. On the set of reduced states of translation invariant, infinite quantum systems. Lett Math Phys 114, 28 (2024), https://doi.org/10.1007/s11005-024-01776-1.
C. Brennecke, M. Brooks, C. Caraci, J. Oldenburg. A Short Proof of Bose–Einstein Condensation in the Gross–Pitaevskii Regime and Beyond. Ann. Henri Poincaré (2024). https://doi.org/10.1007/s00023-024-01465-8.
C. Caraci, J. Oldenburg, B. Schlein. Quantum Fluctuations of Many-Body Dynamics around the Gross-Pitaevskii Equation. Ann. Inst. H. Poincaré C Anal. Non Linéaire (2024). DOI 10.4171/AIHPC/132
M. Christiansen. Hilbert–Schmidt Estimates for Fermionic 2-Body Operators. Communications in Mathematical Physics, 405:18 (2024).
R. Frank, A. Laptev and L. Read. Weighted CLR type bounds in two dimensions. Transactions of the American Mathematical Society, 377 (2024), https://doi.org/10.1090/tran/9124.
T. Gonda, T. Reinhart, S. Stengele, G. De les Coves. A Framework for Universality in Physics, Computer Science, and Beyond. Compositionality, Volume 6 (2024). https://doi.org/10.46298/compositionality-6-3.
A. Lauritsen, R. Seiringer. Pressure of a dilute spin-polarized Fermi gas: Lower bound. Forum of Mathematics, Sigma. 2024;12. doi:10.1017/fms.2024.56.
Preprints
M. Aizenman, S. Warzel. Entanglement entropy bounds for pure states of rapid decorrelation. arXiv:2406.10194
L. Araujo, C. Lasser, B. Schmidt. FSSH-2: Fewest Switches Surface Hopping with robust switching probability. arXiv:2401.10140
K. Audenaert, B. Bergh, N. Datta, M. Jabbour, Á. Capel, P. Gondolf. Continuity bounds for quantum entropies arising from a fundamental entropic inequality. arXiv:2408.15306
A. Bluhm, Á. Capel and A. Pérez-Hernández. Strong decay of correlations for Gibbs states in any dimension. arXiv: 2401.10147
L. Bollmann, P. Müller. Enhanced area law in the Widom-Sobolev formula for the free Dirac operator in arbitrary dimension. arXiv:2405.14356
A. Brollo, H. Spohn. Scattering theory and fusion for the Ablowitz-Ladik chain. arXiv:2404.07095
G. Ceruti, L. Einkemmer, J. Kusch, Ch. Lubich. A robust second-order low-rank BUG integrator based on the midpoint rule. arXiv:2402.08607
G. Ceruti, D. Kressner and D. Sulz. Low-rank Tree Tensor Network Operators for Long-Range Pairwise Interactions. arXiv:2405.09952
M. Christiansen, Ch. Hainzl and P. T. Nam. The Correlation Energy of the Electron Gas in the Mean-Field Regime. arXiv:2405.01386
T. Cubitt, M. Gu, Á. Perales-Eceiza, D. Pérez-García, M. Wolf. Undecidability in Physics: a Review. arXiv:2410.16532
J. Cuenin, R. Frank. Open problem: Violation of locality for Schrödinger operators with complex potentials. arXiv:2409.11285
M. Duerinckx, M. Lemm, F. Pagano. On Bourgain's approach to stochastic homogenization. arXiv:2406.09909
M. Feischl, C. Lasser, Ch. Lubich, J. Nick. Regularized dynamical parametric approximation. arXiv:2403.19234
M. Ferrero, D. Monaco. Effective quantum dynamics for magnetic fermions. arXiv:2406.15041
L. Fresta, M. Porta, B. Schlein. Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density Regime. arXiv:2409.14841
S. Fournais, L. Junge, T. Girardot, L. Morin, M. Olivieri, A. Triay. The free energy of dilute Bose gases at low temperatures interacting via strong potentials. arXiv:2408.14222
R. Frank. Minimizing Schrödinger eigenvalues for confining potentials. arXiv:2407.15103
R. Frank, B. Helffer. On Courant and Pleijel theorems for sub-Riemannian Laplacians. arXiv:2402.13953
R. Frank, S. Larson. Riesz means asymptotics for Dirichlet and Neumann Laplacians on Lipschitz domains. arXiv:2407.11808
R. Frank, S. Larson. Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains. arXiv:2410.04769
E. Giacomelli. An optimal lower bound for the low density Fermi gas in three dimensions. arXiv:2410.08904
P. Gondolf, S. Scalet, A. Ruiz-de-Alarcon, A. Alhambra, Á. Capel. Conditional Independence of 1D Gibbs States with Applications to Efficient Learning. arXiv:2402.18500
F. Haberberger, Ch. Hainzl, B. Schlein, A. Triay. Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature. arXiv:2405.03378
P. Hege, M. Moscolari, S. Teufel. Computing the spectrum and pseudospectrum of infinite-volume operators from local patches. arXiv:2403.19055
J. Henheik, E. Langmann, A. Lauritsen. Multi-band superconductors have enhanced critical temperatures. arXiv:2409.17297
D. V. Hoang, P. Pickl. Effective Polaron Dynamics of an Impurity Particle Interacting with a Fermi Gas. arXiv:2406.08028
L. Junge, F. Visconti. Ground state energy of a dilute Bose gas with three-body hard-core interactions. arXiv:2406.09019
J. Kochanowski, A. Alhambra, Á. Capel, C. Rouzé. Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians. arXiv:2404.16780
F. Kröninger, C. Lasser, J. Vanicek. Sampling strategies for expectation values within the Herman--Kluk approximation. arXiv:2408.00130
T. Kuwahara, M. Lemm. Enhanced Lieb-Robinson bounds for a class of Bose-Hubbard type Hamiltonians. arXiv:2405.04672
J. Lampart, M. Moscolari, S. Teufel, T. Wessel.Equality of magnetization and edge current for interacting lattice fermions at positive temperature. arXiv:2403.17566
J. Lampart, A. Triay. The excitation spectrum of a dilute Bose gas with an impurity. arXiv:2401.14911
A. Lauritsen, R. Seiringer. Ground state energy of the dilute spin-polarized Fermi gas: Lower bound. arXiv:2402.17558
A. Lauritsen, R. Seiringer. Pressure of a dilute spin-polarized Fermi gas: Upper bound. arXiv:2407.05990
M. Lemm, A. Lucia. On the critical finite-size gap scaling for frustration-free Hamiltonians. arXiv:2409.09685
M. Lemm, B. Nachtergaele, S. Warzel, Amanda Young. The charge gap is greater than the neutral gap in fractional quantum Hall systems. arXiv:2410.11645
C. Manai, S. Warzel. A Parisi Formula for Quantum Spin Glasses. arXiv:2403.06155
L. Meng, H. Siedentop, M. Tiefenbeck. Relativistic Exchange Bounds. arXiv:2408.17158
T. Möbus. Multi-product Zeno effect with higher order convergence rates. arXiv:2410.16260
T. Möbus. On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications. arXiv:2404.01422
P. Müller, J. Stern. On the return probability of the simple random walk on Galton-Watson trees. arXiv:2402.01600
L. Read. On the asymptotic number of low-lying states in the two-dimensional confined Stark effect. arXiv:2404.14363
B. Roos. Linear Criterion for an Upper Bound on the BCS Critical Temperature. arXiv:2407.00796
B. Roos, S. Teufel, R. Tumulka, C. Vogel. Macroscopic Thermalization for Highly Degenerate Hamiltonians. arXiv:2408.15832
S. Teufel, R. Tumulka, C. Vogel. Canonical Typicality For Other Ensembles Than Micro-Canonical. arXiv:2307.15624
F. Visconti. Ground state energy of the low density Bose gas with two-body and three-body interactions. arXiv:2402.05646
2023
A. Bluhm, Á. Capel, P. Gondolf and A. Pérez-Hernández. Continuity of Quantum Entropic Quantities via Almost Convexity. IEEE Transactions on Information Theory (2023), doi: 10.1109/TIT.2023.3277892.
A. Bluhm, Á. Capel, P. Gondolf and A. Pérez-Hernández. General continuity bounds for quantum relative entropies, 2023 IEEE International Symposium on Information Theory (ISIT), 162-167, 2023,
doi: 10.1109/ISIT54713.2023.10206734, arXiv: 2305.10140
Á. Capel, Y. Jia. A generic quantum Wielandt's inequality. arXiv:2301.08241
G. Ceruti, C. Lubich, D. Sulz, Rank-Adaptive Time Integration of Tree Tensor Networks, SIAM J. Numer. Anal. 61 (2023), 194-222.
E. L. Giacomelli. An optimal upper bound for the dilute Fermi gas in three dimensions. Journal of Functional Analysis, 285, 110073 (2023).
J. Henheik, A. B. Lauritsen and B. Roos. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics (2023), doi: 10.1142/S0129055X2360005X.
Y. Jia, M. Wolf. Hay from the Haystack: Explicit Examples of Exponential Quantum Circuit Complexity. Commun. Math. Phys. 402, 141–156 (2023), https://doi.org/10.1007/s00220-023-04720-x.
C. Manai, S. Warzel, The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems. Forum of Mathematics, Sigma, 11, E112. doi:10.1017/fms.2023.111.
Preprints
A. Bluhm, A. Capel, P. Gondolf and T. Möbus. Unified framework for continuity of sandwiched Rényi divergences. arXiv:2308.12425
L. Bollmann, P. Müller. The Widom-Sobolev formula for discontinuous matrix-valued symbols. arXiv:2311.06036
S. Breteaux, J. Faupin, M. Lemm, D. H. O. Yang, I. Sigal, J. Zhang. Light cones for open quantum systems. arXiv:2303.08921
S. Burkhard, B. Dörich, M. Hochbruck, C. Lasser. Variational Gaussian approximation for the magnetic Schrödinger equation. arXiv:2310.16734
Á. Capel, Y. Jia. A generic quantum Wielandt's inequality. arXiv: 2301.08241
Á. Capel, M. Moscolari, S. Teufel and T. Wessel. From decay of correlations to locality and stability of the Gibbs state. arXiv: 2310.09182
C. Caraci, A. Olgiati, D. Saint Aubin, B. Schlein. Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime. arXiv:2311.07433
G. Ceruti, J. Kusch, Ch. Lubich. A parallel rank-adaptive integrator for dynamical low-rank approximation. arXiv:2304.05660
M. Christiansen. Hilbert-Schmidt Estimates for Fermionic 2-Body Operators. arXiv:2305.00834
G. K. Duong, R. Frank, T. M. T. Le, P. T. Nam, P. Nguyen. Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator. arXiv:2312.16482
R. Frank. A div-curl inequality for orthonormal functions. arXiv:2309.08014
R. Frank, R. Matzke. Minimizers for an aggregation model with attractive-repulsive interaction. arXiv:2307.13769
R. Frank, J. Peteranderl. Degenerate Stability of the Caffarelli-Kohn-Nirenberg Inequality along the Felli-Schneider Curve. arXiv:2308.07917
P. Gondolf, T. Möbus, C. Rouzé. Energy preserving evolutions over Bosonic systems. arXiv:2307.13801
F. Haberberger, Ch. Hainzl, Phan Thành N., R. Seiringer, A. Triay. The free energy of dilute Bose gases at low temperatures. arXiv:2304.02405
J. Henheik, A. Lauritsen. Universal behavior of the BCS energy gap. arXiv:2312.11310
B. Hinrichs, M. Lemm, O. Siebert. On Lieb-Robinson bounds for a class of continuum fermions. arXiv:2310.17736
F. R. Klausen, S. Warzel. Exponential decay of coherences in single-particle open quantum systems. arXiv:2310.09880
A. Lauritsen. Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion. arXiv:2301.08005
A. Lauritsen, R. Seiringer. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. arXiv:2301.04894
M. Lemm, S. Rademacher. Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory. arXiv:2312.01736
M. Lemm, C. Rubiliani, I. Sigal, J. Zhang. Information propagation in long-range quantum many-body systems. arXiv:2303.06506
M. Lemm, C. Rubiliani, J. Zhang. On the microscopic propagation speed of long-range quantum many-body systems. arXiv:2310.14896
D. Mitrouskas, P. Pickl. Exponential decay of the number of excitations in the weakly interacting Bose gas. arXiv:2307.11062
E. Onorati, C. Rouzé, D. Stilck França, J. Watson. Provably Efficient Learning of Phases of Matter via Dissipative Evolutions. arXiv:2311.07506
L. Read. Negative spectrum of Schrödinger operators with rapidly oscillating potentials. arXiv:2309.06434
B. Roos, R. Seiringer. BCS Critical Temperature on Half-Spaces. arXiv:2306.05824
B. Roos, R. Seiringer. Enhanced BCS Superconductivity at a Corner. arXiv:2308.07115
A. Young. Quantum Spin Systems. arXiv:2308.07848
A. Young. On a bulk gap strategy for quantum lattice models. arXiv:2308.01405