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

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

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-T...

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Veröffentlicht in:Europhysics letters 2018-01, Vol.121 (1), p.10007
Hauptverfasser: Napiórkowski, M., Reuvers, R., Solovej, J. P.
Format: Artikel
Sprache:eng
Schlagworte:
03.75.Hh
Approximation
Critical temperature
Dilution
Transition temperature
Two dimensional analysis
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Zusammenfassung: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/121/10007