出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:Recently, the proposal of the remnant effects of Lorentz symmetry and CPT breaking in nonrelativistic
Quantum Mechanics has been investigated in the presence of the non-minimal couplings.
Such a possibility opens up the way to study new type of phase generation and we can
investigate the influences of this background on a variety of phase transitions. In the present
work, we propose to reasses the Bose-Einstein Condensates (BEC) starting from a relativistic
theory with non-minimal coupling to a Lorentz and CPT breaking background to compute its
non-relativistic limit and study the contribution of the background to the Gross-Pitevskii equation
for the BEC. The non-minimal coupling is the one that generates an Aharonov-Casher phase,
motivated by the fact that we would like to study circular states in this system.