Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
Articolo
Data di Pubblicazione:
2023
Citazione:
Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit / C. Boccato. - (2023 May 30). [10.48550/arXiv.2305.19173]
Abstract:
We consider a homogeneous Bose gas in the Gross–Pitaevskii limit at temperatures that are
comparable to the critical temperature for Bose–Einstein condensation in the ideal gas. Our main
result is an upper bound for the grand canonical free energy in terms of two new contributions: (a)
the free energy of the interacting condensate is given in terms of an effective theory describing its
particle number fluctuations, (b) the free energy of the thermally excited particles equals that of a
temperature-dependent Bogoliubov Hamiltonian.
Tipologia IRIS:
24 - Pre-print
Elenco autori:
C. Boccato
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