Entanglement due to noncommutativity in phase space

Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami, Nuno Costa Dias, and João Nuno Prata
Phys. Rev. D 88, 085013 – Published 10 October 2013
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  • INTRODUCTION
  • NONCOMMUTATIVE SEPARABILITY CRITERION
  • NONCOMMUTATIVE SYMPLECTIC SPECTRUM AND…
  • 2-DIM GAUSSIAN STATE
  • CONCLUSIONS
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    The entanglement criterion for continuous variable systems and the conditions under which the uncertainty relations are fulfilled are generalized to the case of a noncommutative phase space. The quantum nature and the separability of noncommutative two-mode Gaussian states are examined. It is shown that the entanglement of Gaussian states may be exclusively induced by switching on the noncommutative deformation.

    • Figure
    • Figure
    • Received 17 May 2013

    DOI:https://doi.org/10.1103/PhysRevD.88.085013

    © 2013 American Physical Society

    Authors & Affiliations

    Catarina Bastos*

    • Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal

    Alex E. Bernardini† and Orfeu Bertolami‡

    • Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre, 687,4169-007 Porto, Portugal

    Nuno Costa Dias§ and João Nuno Prata∥

    • Departamento de Matemática, Universidade Lusófona de Humanidades e Tecnologias Avenida Campo Grande, 376, 1749-024 Lisboa, Portugal

    • *catarina.bastos@ist.utl.pt
    • †On leave from Departamento de Física, Universidade Federal de São Carlos, P.O. Box 676, 13565-905 São Carlos, SP, Brasil. alexeb@ufscar.br
    • ‡Also at Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal. orfeu.bertolami@fc.up.pt
    • §Also at Grupo de Física Matemática, UL, Avenida Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal. ncdias@meo.pt
    • ∥Also at Grupo de Física Matemática, UL, Avenida Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal. joao.prata@mail.telepac.pt

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    Issue

    Vol. 88, Iss. 8 — 15 October 2013

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