Issue |
EPL
Volume 121, Number 1, January 2018
|
|
---|---|---|
Article Number | 10007 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/121/10007 | |
Published online | 09 March 2018 |
Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation
1 Institute of Science and Technology Austria - Am Campus 1, 3400 Klosterneuburg, Austria
2 Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw Pasteura 5, 02-093 Warsaw, Poland
3 QMATH, Department of Mathematical Sciences, University of Copenhagen Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
4 DAMTP, Centre for Mathematical Sciences, University of Cambridge Wilberforce Road, Cambridge CB3 0WA, UK
Received: 11 January 2018
Accepted: 23 February 2018
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.
PACS: 03.75.Hh – Static properties of condensates; thermodynamical, statistical, and structural properties
© EPLA, 2018
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