Seminar Analysis and Mathematical Physics: Chiara Boccato (University of Milano)

The free energy of the dilute Bose gas

The interacting Bose gas is a system in quantum statistical mechanics where a collective behavior emerges from the underlying many-body theory, posing interesting challenges to its rigorous mathematical description.

While at temperature close to zero we have precise information on the ground state energy and the low-lying spectrum of excitations (at least in certain scaling limits), much less is known close to the critical point. In this talk I will discuss how thermal excitations can be described by Bogoliubov theory, allowing us to estimate the free energy of the Bose gas in the Gross-Pitaevskii regime.

This is joint work with A. Deuchert and D. Stocker.

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