# Thermal-induced Local Imbalance in Repulsive Binary Bose Mixtures

## TL;DR

This study uses Monte Carlo simulations to explore how temperature affects local population imbalance in repulsive binary Bose mixtures, revealing behaviors linked to phase separation, miscibility, and Bose-Einstein statistics.

## Contribution

It uncovers the temperature-dependent local imbalance behaviors in binary Bose mixtures and links them to quantum statistical effects and pair distribution functions.

## Key findings

- Thermal effects reduce local imbalance in phase-separated states.
- A maximum in local imbalance appears at certain temperatures in miscible states.
- The behavior is related to Bose-Einstein bunching and novel pair distribution features.

## Abstract

We study repulsive two-component Bose mixtures with equal populations and confined in a finite-size box through path-integral Monte Carlo simulations. For different values of the $s$-wave scattering length of the interspecies potential, we calculate the local population imbalance in a region of fixed volume inside the box at different temperatures. We find two different behaviors: for phase-separated states at $T=0$, thermal effects induce a diffusion process which reduces the local imbalance whereas, for miscible states at $T=0$, a maximum in the local population imbalance appears at a certain temperature, below the critical one. We show that this intriguing behavior is strongly related to the bunching effect associated with the Bose-Einstein statistics of the particles in the mixture and to an unexpected behavior of the cross pair distribution function not reported before.