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

Napiórkowski, Marcin M; Reuvers, Robin; Solovej, Jan

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

Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007.

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https://arxiv.org/abs/1706.01822 [Preprint]

DOI

10.1209/0295-5075/121/10007

Journal Article | Published | English

Scopus indexed

Author

Napiórkowski, Marcin M^ISTA; Reuvers, Robin; Solovej, Jan

Department

Seiringer Group

Grant

Structure of the Excitation Spectrum for Many-Body Quantum Systems

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.

Publishing Year

2018

Date Published

2018-01-01

Journal Title

EPL

Publisher

IOP Publishing

Acknowledgement

We thank Robert Seiringer and Daniel Ueltschi for bringing the issue of the change in critical temperature to our attention. We also thank the Erwin Schrödinger Institute (all authors) and the Department of Mathematics, University of Copenhagen (MN) for the hospitality during the period this work was carried out. We gratefully acknowledge the financial support by the European Unions Seventh Framework Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR) as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430 and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN).

Volume

121

Issue

Article Number

10007

IST-REx-ID

399

Cite this

Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 2018;121(1). doi:10.1209/0295-5075/121/10007

Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. IOP Publishing. https://doi.org/10.1209/0295-5075/121/10007

Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL. IOP Publishing, 2018. https://doi.org/10.1209/0295-5075/121/10007.

M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation,” EPL, vol. 121, no. 1. IOP Publishing, 2018.

Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007.

Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL, vol. 121, no. 1, 10007, IOP Publishing, 2018, doi:10.1209/0295-5075/121/10007.

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