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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

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Abstract

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)).

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Authors and Affiliations

  1. Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 29060-900, Vitória, ES, Brazil

    A. G. de Lima & H. Belich

  2. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil

    K. Bakke

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  1. A. G. de Lima
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  2. H. Belich
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de Lima, A.G., Belich, H. & Bakke, K. 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. Eur. Phys. J. Plus 128, 154 (2013). https://doi.org/10.1140/epjp/i2013-13154-5

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