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arXiv · 1706.01822

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

Marcin Napiórkowski·Robin Reuvers·Jan Philip Solovej
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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.

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Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej. 2017-06-06. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. https://doi.org/10.1209/0295-5075%2F121%2F10007

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