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Condensed Matter > Quantum Gases

Title: 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.
Comments: Published version, 7 pages, 2 figures
Subjects: Quantum Gases (cond-mat.quant-gas); Mathematical Physics (math-ph)
DOI: 10.1209/0295-5075/121/10007
Cite as: arXiv:1706.01822 [cond-mat.quant-gas]
  (or arXiv:1706.01822v2 [cond-mat.quant-gas] for this version)

Submission history

From: Robin Reuvers [view email]
[v1] Tue, 6 Jun 2017 15:51:04 GMT (70kb,D)
[v2] Sun, 18 Mar 2018 15:18:22 GMT (77kb,D)