Thermal aspects of interacting quantum gases in Lorentz-violating scenarios

TL;DR

This paper investigates the thermodynamic behavior of interacting quantum gases under Lorentz-violating conditions, analyzing how such violations affect key properties like energy, particle number, and entropy across different temperature regimes.

Contribution

It introduces a detailed analysis of quantum gases with Lorentz violation, considering various operator types and their impact on thermodynamic quantities.

Findings

At low temperatures, thermodynamic quantities converge regardless of Lorentz violation.

Lorentz violation causes spin degeneracy breaking, leading to higher energy and particle number for spin-down particles.

Extensive properties are preserved even with Lorentz-violating effects.

Abstract

In this work, we study the interaction of quantum gases in Lorentz-violating scenarios considering both boson and fermion sectors. In the latter case, we investigate the consequences of a system governed by scalar, vector, pseudovector and tensor operators. Besides, we examine the implications of $\left( \hat{k}_{a}\right) ^{\kappa }$ and $\left( \hat{k}_{c}\right) ^{\kappa \xi }$ operators for the boson case as well. For doing so, we regard the grand canonical ensemble seeking the so-called partition function, which suffices to provide analytically the calculations of interest, i.e., mean particle number, entropy, mean total energy and pressure. Furthermore, in low temperature regime, such quantities converge until reaching a similar behavior being in contrast with what is shown in high temperature regime, which brings out the differentiation of their effects. In addition, particle number, entropy and energy exhibit an extensive characteristic even in the presence of Lorentz violation. Finally, for peseudovector and tensor operators, we notice a remarkable feature due to the breaking process of spin degeneracy: the system turns out to have greater energy and particle number for the spin-down particles in comparison with spin-up ones.