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arXiv · 2408.14222

The free energy of dilute Bose gases at low temperatures interacting via strong potentials

S. Fournais·L. Junge·T. Girardot·L. Morin·M. Olivieri·A. Triay
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Abstract

We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang on the excitation spectrum of the system. Combining techniques of \cite{FS2} and \cite{HHNST}, we give a simpler and shorter proof resolving the case of strong interactions, including the hard-core potential.

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S. Fournais, L. Junge, T. Girardot, L. Morin, M. Olivieri, A. Triay. 2024-08-26. The free energy of dilute Bose gases at low temperatures interacting via strong potentials. https://arxiv.org/abs/2408.14222

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