Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation

Abstract

Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm.

Published version, 7 pages, 2 figures

References in corpus (6)

• Extension of Bogoliubov theory to quasi-condensates
• Effects of Interactions on the Critical Temperature of a Trapped Bose Gas
• The ground state energy of a low density Bose gas: a second order upper bound
• The ground state energy of the weakly interacting Bose gas at high density
• Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases
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Cited by in corpus (3)

• Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
• The free energy of the two-dimensional dilute Bose gas. I. Lower bound
• Ground state energy of Bogoliubov energy functional in the high density limit