Polarization Suppression and Nonmonotonic Local Two-Body Correlations in the Two-Component Bose Gas in One Dimension

TL;DR

This paper investigates how quantum statistics, strong interactions, and temperature influence the polarization and local correlations in a one-dimensional two-component Bose gas, revealing nonmonotonic behaviors absent in single-component systems.

Contribution

It provides a comprehensive numerical analysis of the equation of state and correlations across different regimes using the Thermodynamic Bethe Ansatz, highlighting novel nonmonotonic correlation phenomena.

Findings

Nonmonotonic local density correlations as temperature varies.

Crossover between ferromagnetic and unpolarized regimes.

Quantitative characterization of the interplay between interactions, temperature, and polarization.

Abstract

We study the interplay of quantum statistics, strong interactions and finite temperatures in the two-component (spinor) Bose gas with repulsive delta-function interactions in one dimension. Using the Thermodynamic Bethe Ansatz, we obtain the equation of state, population densities and local density correlation numerically as a function of all physical parameters (interaction, temperature and chemical potentials), quantifying the full crossover between low-temperature ferromagnetic and high-temperature unpolarized regimes. In contrast to the single-component, Lieb-Liniger gas, nonmonotonic behaviour of the local density correlation as a function of temperature is observed.