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Results on Interacting Bose Gases

  • Jürg Fröhlich (ETH Zürich)
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Abstract

In this talk recent results in the quantum theory of interacting Bose gases are reviewed. Use is made of

  1. a representation of Bose gases as a kind of scalar field theory resulting from a Hubbard-Stratonovich transformation;
  2. Ginibre’s Brownian loop representation;
  3. an interpolation in the number N of atom species; and
  4. simplifications appearing in various limiting regimes.

The purpose is to study phenomena related to Bose-Einstein condensation and properties of polymer chains (N → 0). Some novel support for the conjecture that λ|φ|^{4}_{d}-theory in d ≥ 4 dimensions is non-interacting will also be described.

seminar
7/9/20 3/9/23

Webinar Analysis, Quantum Fields & Probability

MPI for Mathematics in the Sciences Live Stream

Jochen Zahn

Leipzig University Contact via Mail

Roland Bauerschmidt

University of Cambridge

Stefan Hollands

Leipzig University & MPI MiS Leipzig

Christoph Kopper

Ecole Polytechnique Paris

Antti Kupiainen

University of Helsinki

Felix Otto

MPI for Mathematics in the Sciences Contact via Mail

Manfred Salmhofer

Heidelberg University