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

Christoph Weiss

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arXiv · 1610.09070

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

Christoph Weiss

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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 $N^2$, consistent with a vanishing transition region in the thermodynamic limit.

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Christoph Weiss. 2016-10-28. Finite-temperature phase transition in a homogeneous one-dimensional gas of attractive bosons. https://arxiv.org/abs/1610.09070

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