3 years ago

The free energy of the two-dimensional dilute Bose gas. I. Lower bound. (arXiv:1910.03372v2 [math-ph] UPDATED)

Andreas Deuchert, Simon Mayer, Robert Seiringer
We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density and inverse temperature differs from the one of the non-interacting system by the correction term . Here is the scattering length of the interaction potential, and is the inverse Berezinskii--Kosterlitz--Thouless critical temperature for superfluidity. The result is valid in the dilute limit and if .

Publisher URL: http://arxiv.org/abs/1910.03372

DOI: arXiv:1910.03372v2

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