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

Department of Mathematical Sciences

3 Citations (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.

Original language	English
Article number	10007
Journal	EPL
Volume	121
Number of pages	6
ISSN	0295-5075
DOIs	https://doi.org/10.1209/0295-5075/121/10007
Publication status	Published - 1 Jan 2018

Keywords

cond-mat.quant-gas
math-ph
math.MP

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10.1209/0295-5075/121/10007

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

Cite this

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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. ",

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AU - Reuvers, Robin

AU - Solovej, Jan Philip

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PY - 2018/1/1

Y1 - 2018/1/1

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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VL - 121

JO - EPL

JF - EPL

M1 - 10007

ER -

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

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Keywords

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