Effects of Lorentz violation in the Bose-Einstein condensation

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 discuss some features of the model to only then compute the corrections to the Bose-Einstein condensation. The calculations are done by computing the generating functional, from which we extract the thermodynamics parameters. We also obtain a Lorentz-violating correction for the critical temperature T c that sets the Bose-Einstein condensation.

The Lorentz-violating real scalar field at thermal equilibrium

“…Notice that this representation of the thermal propagator is complex-valued since Δ 0 j is imaginary. However, this is not a problem since its representation in the configuration space (25) is real, as it is expected for a real field. Now, we will compute the partition function (19), from which we will obtain thermodynamic quantities as the internal energy, pressure, and entropy of the system.…”

“…The effects of Lorentz violation has been widely investigated in several different scenarios. It is worth mentioning recent studies on the statistical mechanics in LV background [10][11][12][13][14], the Casimir effect [15][16][17][18][19][20], the Bose-Einstein condensation [21][22][23][24][25], QED sector [26][27][28][29][30], LV theories with boundary conditions [31][32][33][34], Chern-Simons-like terms [35][36][37][38][39], scattering processes [40][41][42][43][44], geometrical correspondences [45,46], supersymmetric LV models [47][48][49][50][51], as well as many others interesting subjects (see also [52] and references therein for a more exhaustive list of related papers).…”

Thermodynamics of massless particles in curved spacetime

“…The procedure to study the thermodynamic properties in Lorentz violating theories has pioneer been proposed by Colladay and McDonald [73]. Subsequently, many studies have been accomplished utilizing such procedure [74][75][76][77][78][79][80][81][82][83][84][85][86][87][88]. However, in the context of Einstein-aether theory with Friedmann-Robertson-Walker spacetime there is a lack in the literature providing the investigation of its respective thermal aspects ascribed to this formalism.…”

Effects of a background scalar field induced by the Lorentz symmetry violation on Non Relativistic Quantum Mechanics

“…Currently, from the model building view, a large effort has been done in different branches of physics to find possibles signal on Lorentz symmetry violation, and therefore, provide experimental bounds on SME parameters. Some of these studios utilizing neutrinos [13][14][15][16][17], photons [18][19][20][21], kaons [22], harmonic oscillator under influence of a Coulomb-like potential [23], Bose-Einstein condensates [24,25], supersymmetry [26,27] and extra dimensions [28,29]. However, a complete treatment of the SME in the nonrelativistic quantum mechanics sector remains an open issue.…”