Effects of Lorentz violation in the Bose-Einstein condensation

TL;DR

This paper investigates how Lorentz-violating CPT-odd extensions affect Bose-Einstein condensation and thermodynamic properties, including corrections to the critical temperature, through a detailed theoretical analysis.

Contribution

It introduces a novel analysis of Lorentz violation effects on Bose-Einstein condensation using a CPT-odd extension and computes specific corrections to thermodynamic parameters.

Findings

Lorentz violation induces measurable corrections to the critical temperature.

The thermodynamics parameters are modified by Lorentz-violating terms.

The model provides a framework for testing Lorentz symmetry in condensed matter systems.

Abstract

In this paper we study the corrections emergent from a Lorentz-violating CPT-odd extension of the complex scalar sector to the Bose-Einstein condensation and to the thermodynamics parameters. We initially discussed some features of the model to only then compute the corrections to the Bose-Einstein condensation. The calculations were done by computing the generating functional, from which we extract the thermodynamics parameters. We also obtained a Lorentz-violating correction for the critical temperature $T_c$ that sets the Bose-Einstein Condensation.