1. Departamento de Física e Química, Universidade Federal do Espírito Santo, Goiabeiras, Vitória, ES, Brazil;2. Departamento de Física, Universidade Federal da Paraíba, Jo?o Pessoa, PB, Brazil
Abstract:
A possible scenario of the Lorentz symmetry violation is discussed based on the arising of geometric quantum phases yielded by the effects of the Lorentz symmetry violation in the CPT‐even gauge sector of Standard Model Extension. Analogues of the Anandan quantum phase and the scalar Aharonov‐Bohm effect for a neutral particle J. Anandan, Phys. Lett. A 138 , 347 (1989)] are obtained from the parity‐odd sector of the tensor . Moreover, we build quantum holonomies associated with the analogue of the Anandan quantum phase and discuss a possible analogy with the geometric quantum computation A. Ekert et al., J. Mod. Opt. 47 , 2501 (2000)].
. Moreover, we build quantum holonomies associated with the analogue of the Anandan quantum phase and discuss a possible analogy with the geometric quantum computation A. Ekert et al., J. Mod. Opt. 47 , 2501 (2000)]. 
