SFB TRR 352 Mathematics of Many-Body Quantum Systems and Their Collective Phenomena

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Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – TRR 352 – Project-ID 470903074


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.

M. Christiansen. Hilbert–Schmidt Estimates for Fermionic 2-Body Operators. Communications in Mathematical Physics, 405:18 (2024).

R. L. 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.


A. Bluhm, Á. Capel and A. Pérez-Hernández. Strong decay of correlations for Gibbs states in any dimension. arXiv: 2401.10147

A. Brollo, H. Spohn. Scattering theory and fusion for the Ablowitz-Ladik chain. arXiv:2404.07095

M. Feischl, C. Lasser, Ch. Lubich, J. Nick. Regularized dynamical parametric approximation. arXiv:2403.19234

J. Lampart, A. Triay. The excitation spectrum of a dilute Bose gas with an impurity. arXiv:2401.14911

Ch. Manai, S. Warzel. A Parisi Formula for Quantum Spin Glasses. arXiv:2403.06155

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


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

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


A. Bluhm, A. Capel, P. Gondolf and T. Möbus. Unified framework for continuity of sandwiched Rényi divergences.  arXiv:2308.12425

A. Bluhm, M. Caro, T. Möbus, C. Rouzé and A. Werner. Dissipation-enabled bosonic Hamiltonian learning via new information-propagation bounds. arXiv:2307.15026

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

L. Bollmann, P. Müller. Widom's formula for discontinuous matrix-valued symbols. arXiv:2311.06036

S. Burkhard, B. Dörich, M. Hochbruck, C. Lasser. Variational Gaussian approximation for the magnetic Schrödinger equation. arXiv:2310.16734

M. Christiansen. Hilbert-Schmidt Estimates for Fermionic 2-Body Operators. arXiv:2305.00834

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

F. R. Klausen, S. Warzel. Exponential decay of coherences in single-particle open quantum systems.  arXiv:2310.09880

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