https://doi.org/10.1140/epjp/i2013-13154-5
Regular Article
Anandan quantum phase and quantum holonomies induced by the effects of the Lorentz symmetry violation background in the CPT-even gauge sector of the Standard Model Extension
1
Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 29060-900, Vitória, ES, Brazil
2
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil
* e-mail: andreglima@gmail.com
Received:
24
October
2013
Accepted:
18
November
2013
Published online:
16
December
2013
We study the rise of geometric quantum phases corresponding to the analogues of the Anandan quantum phase (J. Anandan, Phys. Lett. A 138, 347 (1989)) based on possible scenarios of the Lorentz symmetry violation background in the CPT-even gauge sector of the Standard Model Extension. We also show that we can obtain quantum holonomies associated with the analogues of the Anandan quantum phase, and discuss a possible analogy with the holonomic quantum computation (P. Zanardi, M. Rasetti, Phys. Lett. A 264, 94 (1999)).
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013
