Bose-Einstein condensation in the Rindler space

TL;DR

This paper investigates Bose-Einstein condensation in Rindler space, linking acceleration-induced thermal effects to phase transition conditions, and finds that the critical Unruh temperature aligns with standard finite-temperature results.

Contribution

It introduces a model connecting the Unruh effect with Bose-Einstein condensation in Rindler space, providing a novel calculation of the critical acceleration for the phase transition.

Findings

Critical Unruh temperature matches the finite-temperature Euclidean space result.

Bose-Einstein condensation occurs at a specific acceleration related to the Unruh temperature.

The model confirms the thermal nature of the Rindler observer's experience in quantum field theory.

Abstract

Based on the Unruh effect, we calculate the critical acceleration for the Bose-Einstein condensation in a free complex scalar field at finite density in the Rindler space. Our model corresponds to an ideal gas performing constantly accelerating motion in a Minkowski spacetime at zero temperature, where the gas is composed of the complex scalar particles, and is supposed to be in a thermal bath at some temperature by the Unruh effect. The critical Unruh temperature we obtain agrees with the usual result in the 4D Euclid space at finite temperature.