Entanglement and separability in the noncommutative phase-space scenario

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Bernardini, Alex E.^1 ; Bastos, Catarina^2 ; Bertolami, Orfeu^3 ; Dias, Nuno Costa^4 ; Prata, João Nuno^4,5

Departamento de Física, Universidade Federal de São Carlos, PO Box 676, São Carlos, SP

13565-905, Brazil^1

Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Avenida Rovisco Pais 1, Lisboa

1049-001, Portugal^2

Departamento de Física e Astronomia, Faculdade de Ciências da Universidade Do Porto, 687 Rua do Campo Alegre, Porto

4169-007, Portugal^3

Departamento de Matemática, Universidade Lusófona de Humanidades e Tecnologias, 376 Avenida Campo Grande, Lisboa

1749-024, Portugal^4

Grupo de Física Matemática, UL, Avenida Prof. Gama Pinto 2, Lisboa

1649-003, Portugal^5

关键词: Continuous variable system;    Covariance matrices;    Gaussian state;    Non-commutative;    Partial transpose;    Separability criterion;    Separable state;    Two-mode Gaussian state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012046/pdf
DOI  :  10.1088/1742-6596/626/1/012046

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Quantumness and separability criteria for continuous variable systems are discussed for the case of a noncommutative (NC) phase-space. In particular, the quantum nature and the entanglement configuration of NC two-mode Gaussian states are examined. Two families of covariance matrices describing standard quantum mechanics (QM) separable states are deformed into a NC QM configuration and then investigated through the positive partial transpose criterium for identifying quantum entanglement. It is shown that the entanglement of Gaussian states may be exclusively induced by switching on the NC deformation. Extensions of some preliminary results are presented.