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

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 FS2 and HHNST, we give a simpler and shorter proof resolving the case of strong interactions, including the hard-core potential.

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