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

  • Yajiang HaoEmail author
  • Yafei Song
Regular Article

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 \(C = \tfrac{1} {2}\left( {1 - \cos \chi \pi } \right)C_b \).

Graphical abstract

Keywords

Cold Matter and Quantum Gas 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of Science and Technology BeijingBeijingP.R. China

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