Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature

doi:10.1088/1674-1056/24/9/090501

Abstract

With thermal Bose-Fermi mapping method, we investigate the Tonks-Girardeau gas at finite temperature. It is shown that at low temperature, the Tonks gas displays the Fermi-like density profiles, and with the increase in temperature, the Tonks gas distributes in wider region. The reduced one-body density matrix is diagonal dominant in the whole temperature region, and the off-diagonal elements shall vanish rapidly with the deviation from the diagonal part at high temperature.

Keywords: Tonks-Girardeau gas finite temperature reduced one-body density matrix

Received: 03 April 2015
Revised: 21 April 2015
Accepted manuscript online:

PACS:	05.30.Jp	(Boson systems)
	03.75.Hh	(Static properties of condensates; thermodynamical, statistical, and structural properties)
	67.85.-d	(Ultracold gases, trapped gases)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11004007) and the Fundamental Research Funds for the Central Universities of China.

Corresponding Authors: Hao Ya-Jiang
E-mail: haoyj@ustb.edu.cn

Cite this article:

Fu Xiao-Chen (傅笑晨), Hao Ya-Jiang (郝亚江) Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature 2015 Chin. Phys. B 24 090501

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Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature

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