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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Fournais et al. (2024) studied this question.
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