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

Marcin Napiórkowski; Robin Reuvers; Jan Philip Solovej

doi:10.1209/0295-5075/121/10007

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

Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej

Institut for Matematiske Fag

3 Citationer (Scopus)

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.

Originalsprog	Engelsk
Artikelnummer	10007
Tidsskrift	EPL
Vol/bind	121
Antal sider	6
ISSN	0295-5075
DOI	https://doi.org/10.1209/0295-5075/121/10007
Status	Udgivet - 1 jan. 2018

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10.1209/0295-5075/121/10007

https://arxiv.org/pdf/1706.01822.pdf

Citationsformater

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AU - Reuvers, Robin

AU - Solovej, Jan Philip

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PY - 2018/1/1

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N2 - 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.

AB - 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.

KW - cond-mat.quant-gas

KW - math-ph

KW - math.MP

U2 - 10.1209/0295-5075/121/10007

DO - 10.1209/0295-5075/121/10007

M3 - Journal article

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JO - EPL

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

Abstract

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