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

2024/08/26 by Fournais, S., Junge, L., Girardot, T. +3 · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2408.14222

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 \citeFS2 and \citeHHNST, we give a simpler and shorter proof resolving the case of strong interactions, including the hard-core potential.

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