Equilibrium thermodynamic properties of interacting two-component bosons in one dimension

TL;DR

This paper investigates the thermodynamic properties of two-component bosons in one dimension, revealing how temperature, interactions, and quantum statistics influence their phase behavior and crossover regimes.

Contribution

It provides a numerical solution to the thermodynamic Bethe Ansatz for this system, mapping out the full crossover behavior across different regimes.

Findings

Quantifies the equation of state across temperature and interaction ranges.

Characterizes the crossover from ferromagnetic to unpolarized phases.

Analyzes the transition from decoherent to fermionized regimes.

Abstract

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 to quantify the full crossover behaviour 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.