Recent advances in Bose-Einstein condensation

Probability Theory | | Workshop, Event

The aim of the workshop is to bring together people interested in statistical mechanics and in particular the Bose gas. There will be minicourses for non-specialists. Everybody who is interested is welcome to participate.


Tentative list of speakers/participants so far:

Lea Boßmann, TBA
Volker Betz, TBA
Chiara Boccato, mini-course, title: Bogoliubov theory for the dilute Bose gas
Florian Haberberger, The free energy of dilute Bose gases at low temperatures
Antti Knowles, mini-course, title: Euclidean field theories as limits of Bose gases
Wolfgang König, TBA
Robert Seiringer, TBA
Vedran Sohinger, Interacting loop ensembles and Bose gases
András Sütő
Lorenzo Taggi, mini-course, title: Random walk loop soups and the Bose gas
Arnaud Triay, TBA
Daniel Ueltschi, Feynman cycles and Bose-Einstein condensation
Dirk Zeindler



Quirin Vogel, Technical University of Munich.

Christian Hainzl, Co-organizer, LMU Munich.


Start of the workshop: Wednesday 30th of August 2023, morning.
End of the workshop: Friday 1st of September 2023, afternoon.


Location: Technical University of Munich, Garching Campus

Schedule: TBC

Sponsored by the SFB/TRR 352 „Mathematics of Many-Body Quantum Systems and Their Collective Phenomena“, DMV-Fachgruppe Stochastik, Global Challenges for Women in Math Science


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Sohinger: We study interacting quantum Bose gases in thermal equilibrium on a lattice. In this framework, we establish convergence of the grand-canonical Gibbs states to their mean-field (classical field) and large-mass (classical particle) limit.
Our analysis is based on representations in terms of ensembles of interacting random loops, namely the Ginibre loop ensemble for quantum bose gases and the Symanzik loop ensemble for classical scalar field theories. For small enough interactions, we obtain corresponding results in the infinite volume limit by means of cluster expansions. This is joint work with Jürg Fröhlich, Antti Knowles, and Benjamin Schlein.

Ueltschi:In 1953 Feynman suggested that Bose-Einstein condensation is related to the presence of long cycles in what is now known as the Feynman-Kac representation. Suto proved equivalence in the case of non-interacting systems (1993 and 2002). He recently proposed a proof for interacting systems. I will discuss a lattice model where Bose-Einstein condensation can be excluded, and yet infinite cycles are likely. This seems to bring a contradiction. I hope for constructive feedback from the audience, that could shed light on this question.