SFB TRR 352

QMATH16: Mathematical Results in Quantum Theory
2025-09-01 00:00 - 2025-09-05 23:59 (Europe/Berlin) | School of Computation, Information and Technology (CIT), Boltzmannstraße 3, Garching bei München, 85748, Germany

Annual Retreat 25
2025-09-28 00:00 - 2025-10-01 23:59 | Georg-von-Vollmar-Akademie, Am Aspensteinbichl 9, Kochel am See, 82431, Germany
The CRC’s Annual Retreat took place from September 28 to October 1, 2025, at the Georg-von-Vollmar-Akademie in Kochel am See. The retreat was fully dedicated to preparing the application for the next funding period. Every project that will be continued or newly participating was introduced by a project leader.
On Wednesday morning, the Best Paper Awards were announced.

The Best PhD Research Paper award went to Carla Rubiliani for her work:
(joint with M. Lemm, J. Zhang)
On the microscopic propagation speed of long-range quantum many-body systems, Preprint 2023 (arXiv:2310.14896)
(joint with M. Lemm, J. Zhang)
On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians, Preprint 2025 (arXiv:2505.01786)*

The Best Postdoc Research Paper award went to Emanuela L. Giacomelli for the paper:
(joint with C. Hainzl, P. T. Nam, R. Seiringer)
The Huang-Yang conjecture for the low-density Fermi gas, Preprint 2025 (arXiv:2505.22340)*

The retreat provided an excellent opportunity for scientific exchange and discussion, helping to shape the CRC’s plans for the next funding period.
Schedule TRR352 Retreat 2025

Mind the Gap: A Workshop Advancing Women in Quantum Math
2025-10-01 00:00 - 2025-10-03 23:59 | Georg-von-Vollmar-Akademie, Am Aspensteinbichl 9, Kochel am See, 82431, Germany

Arbeitsgemeinschaft: Analysis of Many-body Quantum Systems
2025-10-05 00:00 - 2025-10-10 23:59 | Mathematisches Forschungsinstitut Oberwolfach, Schwarzwaldstraße 9-11, Oberwolfach, 77709, Germany

Min-Max Trees
2025-10-27 15:00 | Room B 349, Theresienstr. 39, Munich, 80333, Germany

NESS for KPZ
2025-10-27 15:00 | Room B 349, Theresienstr. 39, Munich, 80333, Germany

A multiplicative ergodic theorem for disordered quantum processes
2025-10-28 16:15 | Room 5608.03.011 (Seminarraum (M1/M7)), Boltzmannstr. 3, Garching b. München, 85748, Germany
Repeated compositions of quantum channels arise naturally in many places across quantum: they arise, for example, in the transfer operator approach to quantum spin chains, and also in the repeated interactions description of open quantum dynamics. Assuming the system of interest is subject to some amount of disorder, it is therefore natural that one consider repeated compositions of random quantum channels, i.e., quantum channels sampled from a stochastic process. Under a stationarity assumption, such compositions fit well into the mathematical framework of Oseledets’s classical Multiplicative Ergodic Theorem (MET); in this talk, I shall discuss my recent work refining the MET for repeated compositions of random bistochastic quantum channels, and, time-permitting, I shall describe applications of this work to understanding entanglement breaking properties of such compositions.

Unified approach to Strichartz estimates for orthonormal functions
2025-11-05 18:00 | Room A 027, Theresienstr. 37, Munich, 80333, Germany

Junior Meeting
2025-11-17 00:00 - 2025-11-21 23:59 | Haus Chiemgau, Dechantshof 3, Teisendorf, 83317, Germany
November 17-21, 2025 at Haus Chiemgau, Teisendorf

The meeting will begin on Monday at 3 pm and conclude on Friday after lunch.
Speakers:
Lennart Becker (UT)
Yoon Jun Chan (UA)
Eddy de Leon (TUM)
Jorge Acuña Flores (UT)
Paul Pfeiffer (LMU)
Sebstian Stengele (TUM)
Cornelia Vogel (LMU)
Program:
Schedule Junior Meeting Nov. 25
Abstracts Junior Meeting Nov. 25
November 20: Full-Day Theatre Skills Workshop Junior Meeting Nov. 25

Organizers:
Florian Haberberger (LMU Munich)
Emilio Onorati (TUM)
Barbara Roos (Tübingen University)
Carla Rubiliani (Tübingen University)
Severin Schraven (TUM)
François Visconti (LMU Munich)

Venue:
Haus Chiemgau
Dechantshof 3
83317 Teisendorf
web: www.haus-chiemgau.de
phone: +49 (0) 8666 98590
How to get there:
You can reach Teisendorf by train.
Haus Chiemgau is only a few minutes’ walk from the station.

(Semi) Relativistic (Semi) Classical PDE (around) the Self-Consistent Pauli Equation
2025-11-19 16:15 | Room 5610.EG.011 (CIT Sitzungsraum 1), Boltzmannstr. 3, Garching b. München, 85748, Germany
We present the relativistic quantum physics model hierarchy from Dirac-Maxwell to Vlasov/Euler-Poisson that models fast moving charges and their self-consistent electro-magnetic field. Our main interest is (asymptotic) analysis of these nonlinear time-dependent PDE, with focus on the Pauli-Poisswell/Darwin system which is the consistent model at first/second order in 1/c (c = speed of light) that keeps both relativistic effects “spin” and “magnetism”. Emphasis is on the (semi)classicial limit for vanishing Planck constant. We use both WKB methods and Wigner functions where we extend the 1993 results of P. L. Lions & Paul and Markowich & Mauser on the limit from Schrödinger-Poisson to Vlasov-Poisson, with similar subtilities of pure quantum states vs mixed states. In the hope of taming the mathematical complications stemming from the magnetic field, we are interested also in developing “quantum/semiclassical velocity averaging lemmata” building on the 1988 ideas of Golse, Perthame, Sentis and P.L.Lions. This talk aims to explain the models, the new results & ideas of proofs/techniques, as worked out in joint works mainly with Jakob Möller (X) and also Pierre Germain (ICL), Changhe Yang (Caltech), François Golse (X).

Quantum many-body systems and Bose-Einstein condensation: A Mathematical Physics Perspective
2025-11-24 00:00 - 2025-11-28 23:59 | Erwin Schrödinger International Institute for Mathematics and Physics (ESI), Boltzmanngasse 9A, Vienna, 1090, Austria

Emergent phenomena in many-body quantum systems
2025-12-08 00:00 - 2025-12-12 23:59 | Centre International de Rencontres Mathématiques (CIRM), 163 Av. de Luminy, Marseille, 13009, France
The microscopic laws of quantum mechanics give rise to some of the most fascinating macroscopic phenomena in physics, such as superfluidity and superconductivity. The theoretical description of such phenomena is intimately linked with beautiful mathematics in fields like functional analysis, partial differential equations, or probability. This conference brings together internationally recognised experts in mathematical physics to report on recent developments and exchange new ideas. The meeting will provide opportunities for early-career researchers to present their work and initiate new collaborations, thus ensuring the future dynamism of the field.

The Widom-Sobolev formula for the free Dirac operator
2025-12-10 17:00 | Room B 349, Theresienstr. 39, Munich, 80333, Germany
With the proof of Widom’s conjecture giving new insights on the entanglement properties of the non-relativistic free Fermi gas, it is a natural question whether this situation extends to the relativistic case, where the single-particle Hamiltonian is given by the free Dirac operator.
In this talk I give a brief introduction to both the Widom-Sobolev formula as well as the free Dirac operator, and give an answer to the question above. I also talk about the strategy of the proof of this result, in particular I show how it can be reduced to an application of another result from my PhD thesis, a Widom-Sobolev formula for more general matrix-valued symbols.
The presented results were obtained in collaboration with Peter Müller.

Probability Colloquium Augsburg-Munich
2025-12-12 14:30 - 18:00 | University of Augsburg, Room 2004 (L1), Universitätsstraße 14, Augsburg, 86159
Schedule:

14:30 Welcome
15:00 Talk by Nicos Georgiou (Sussex)
16:00 Coffee break
16:30 Talk by Christian Kühn (TU Munich)
18:00 Option for common dinner

Titles and abstracts:
Nicos Georgiou: Mean-field limit and parameter estimation for contagion dynamics on higher-order structures
Classical models of contagion epidemics have graph based representations where the nodes represent the population and infections occur from an infected individual to a susceptible individual via a network link between them. At the same time, healing mechanisms try to fight the epidemic at node level. The simple descriptions of these representations also underscore their limitations, since the propagation of contagions in complex systems often involves repeated or simultaneous stimuli that individuals receive from their social contacts (such as their work or household). One may mechanistically encode these non-linear effects into contagion models by considering interactions that go beyond simple pairwise connections, by using hypergraphs rather than graphs. In this talk we will see the role higher-order interactions can play in the behaviour of the model when a rigorous mean-field can be obtained. Furthermore, we will discuss some inference techniques for the parameters of the epidemic (rates of infection) when only partial information on the type of infection is available and with only a single realisation of the epidemic curve as a datum.

Christian Kühn: Epidemic Dynamics: From Simple Models to Complex Systems
In this talk, I am going to give an overview of various techniques to analyze contact processes and their nonlinear dynamics with a focus on moment-based methods. The main results will be (a) the existence of periodic motion in systems with waning immunity, (b) warning signs for outbreaks in adaptive epidemic models with social distancing and quarantining, (c) the influence of transport in multiplex networks, and (d) the influence of multiscale group interactions to prevent epidemics. We shall also see how to locally justify moment closure expansions of the dynamics.

Validity of Kubo formula for 1d and quasi-1d lattice fermionic systems
2025-12-15 16:00 | Seminar Room, 4th floor, Auf der Morgenstelle 10, Tübingen, 72076, Germany
We study the dynamical density and current responses of a class of non-interacting, one-dimensional gapless lattice Fermi systems subjected to density-type perturbations slowly varying in space and time, in the infinite-volume and zero-temperature limit. In addition, we analyse the edge density and current responses for quantum Hall lattice systems defined on a cylindrical geometry.
We establish the validity of linear response for these observables, thereby providing a justification of Kubo’s formula. The latter is computed explicitly in terms of the spectral properties at the Fermi points and the profile of the perturbation.
The proof of linear response validity on the relevant time scales is based on a detailed analysis of the imaginary-time Duhamel expansion. A crucial ingredient is a cancellation mechanism in the scaling limit of higher-order correlation functions that describe the nonlinear part of the response.
Joint work with Marcello Porta.

Scattering Quantum Walks on Graphs
2026-01-08 16:00 | Room 5610.EG.011 (CIT Sitzungsraum 1), Boltzmannstr. 3, Garching b. München, 85748, Germany
We consider a class of Unitary Quantum Walks on arbitrary graphs, parameterized by a family of scattering matrices.
After explaining that these Scattering Quantum Walks encompass several known Quantum Walks, we further introduce two classes of Scattering Open Quantum Walks on arbitrary graphs based on that construction, whose asymptotic states we discuss.

Bound states of the Pauli operator in two dimensions - weak coupling asymptotics and CLR-type inequalities
2026-01-14 18:00 | Room A 027, Theresienstr. 37, Munich, 80333, Germany

On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas
2026-01-20 15:00 | Room B 349, Theresienstr. 39, Munich, 80333, Germany
Describing the long-time dynamical behaviour of quantum systems is a long-standing open problem.
When the coupling constant of the interaction is small, the dynamics of the system up to kinetic time is conjectured to be effectively governed by the Boltzmann-Nordheim kinetic equation.
In this talk, I will present a result on the two-point time correlation function of a system of lattice fermions at thermal equilibrium, and I will explain how to approach the problem using a perturbation expansion and representing the appearing terms by Feynman diagrams.
This is joint work with Phan Thành Nam, Herbert Spohn, and Minh-Binh Tran.

A Pohozaev identity for the Spectral Fractional Laplacian
2026-01-22 18:00 | Room A 027, Theresienstr. 37, Munich, 80333, Germany

Semi-classical limit of a trapped dilute Fermi gas
2026-01-22 19:00 | Room A 027, Theresienstr. 37, Munich, 80333, Germany

A probabilistic approach to BEC
2026-02-09 16:00 | Room 5612.EG.019 (CIT Sitzungsraum 2), Boltzmannstr. 3, Garching b. München, 85748, Germany
A gas of interacting Bosons can be represented using an ensemble of stochastic diffusions – a Brownian loop soup. In this talk, we review the construction of this Feynman representation, its representation of Free Energy and the 1-PRDM. We also introduce some results from the literature in the dilute and other regimes and state some conjectures.

TRR 352 Winter School on Mathematical Physics
2026-03-09 00:00 - 2026-03-13 23:59 | Georg-von-Vollmar-Akademie, Am Aspensteinbichl 9, Kochel am See, 82431, Germany
Registration for the TRR 352 Winter School on Mathematical Physics is now open!
The event will take place from March 9-13, 2026, at the Georg-von-Vollmar-Akademie in Kochel am See.
Invited speakers:

Emanuela L. Giacomelli (University of Milan)
Vojkan Jaksic (Politecnico di Milano)
Benjamin Schlein (University of Zurich)
Katharina Schratz (Sorbonne University)

Participation is free of charge, but registration is mandatory. Please register by February 8, 2026.
To access more details and the registration form, please visit our website:
https://sites.google.com/view/trr352winterschool26/home

Annual Retreat
2026-10-04 00:00 - 2026-10-08 23:59 | Georg-von-Vollmar-Akademie, Am Aspensteinbichl 9, Kochel am See, 82431, Germany
