Finite-temperature phase transition in a homogeneous one-dimensional gas of attractive bosons

2016/10/28 by Weiss, Christoph
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1610.09070

Abstract

In typical one-dimensional models the Mermin-Wagner theorem forbids long range order, thus preventing finite-temperature phase transitions. We find a finite-temperature phase transition for a homogeneous system of attractive bosons in one dimension. The low-temperature phase is characterized by a quantum bright soliton without long range order; the high-temperature phase is a free gas. Numerical calculations for finite particle numbers show a specific heat scaling as N², consistent with a vanishing transition region in the thermodynamic limit.

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