Eur. Phys. J. D (2017) 71: 135
https://doi.org/10.1140/epjd/e2017-70501-8

Regular Article

One-dimensional hard-core anyon gas in a harmonic trap at finite temperature

Department of Physics, University of Science and Technology Beijing, Beijing 100083, P.R. China

^a e-mail: haoyj@ustb.edu.cn

Received: 9 August 2016
Received in final form: 3 January 2017
Published online: 6 June 2017

Abstract

We investigate the strongly interacting hard-core anyon gases in a one dimensional harmonic potential at finite temperature by extending thermal Bose-Fermi mapping method to thermal anyon-ferimon mapping method. With thermal anyon-fermion mapping method we obtain the reduced one-body density matrix and therefore the momentum distribution for different statistical parameters and temperatures. At low temperature hard-core anyon gases exhibit the similar properties as those of ground state, which interpolate between Bose-like and Fermi-like continuously with the evolution of statistical properties. At high temperature hard-core anyon gases of different statistical properties display the same reduced one-body density matrix and momentum distribution as those of spin-polarized fermions. The Tan’s contact of hard-core anyon gas at finite temperature is also evaluated, which take the simple relation with that of Tonks-Girardeau gas C_b as .