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Physical Review A

One-Dimensional System of Bosons with Repulsive δ -Function Interactions at a Finite Temperature T

Changqing Yang

Published Jul 1, 1970• 45 citations
Publisher

Abstract

The equilibrium thermodynamics of a one-dimensional system of bosons with repulsive $\ensuremath{\delta}$- function interaction is found to be intermediate between those of a one-dimensional free-boson and a one-dimensional free-fermion system. Numerical comparisons are given.

DOI
10.1103/physreva.2.154

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Chinese Journal of Physics•Oct 1, 1995•1 citation
The equilibrium thermodynamics of a one-dimensional system of bosons with repulsive \ensuremathδ\ensuremath{\delta}\ensuremathδ- function interaction is found to be intermediate between those of a one-dimensional free-boson and a one-dimensional free-fermion system. Numerical comparisons are given.
The interplay of quantum statistics, interactions, and temperature is studied within the framework of the bosonic two-component theory with repulsive delta-function interaction in one dimension. We numerically solve the thermodynamic Bethe ansatz and obtain the equation of state as a function of temperature and of the interaction strength, the relative chemical potential, and either the total chemical potential or a fixed number of particles, allowing quantification of the full crossover behavior of the system between its low-temperature ferromagnetic and high-temperature unpolarized regime, and from the low coupling decoherent regime to the fermionization regime at high interaction.