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

Author: Xiao-Chen Fu   Ya-Jiang Hao  

Publisher: IOP Publishing

E-ISSN: 1741-4199|24|9|90501-90504

ISSN: 1674-1056

Source: Chinese Physics B, Vol.24, Iss.9, 2015-09, pp. : 90501-90504

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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.