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Bell operator and Gaussian squeezed states in noncommutative quantum mechanics

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Autor(es):
Bastos, Catarina ; Bernardini, Alex E. ; Bertolami, Orfeu ; Dias, Nuno Costa ; Prata, Joao Nuno
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW D; v. 93, n. 10, p. 9-pg., 2016-05-26.
Resumo

We examine putative corrections to the Bell operator due to the noncommutativity in the phase space. Starting from a Gaussian squeezed envelope whose time evolution is driven by commutative (standard quantum mechanics) and noncommutative dynamics, respectively, we conclude that although the time-evolving covariance matrix in the noncommutative case is different from the standard case, the squeezing parameter dominates and there are no noticeable noncommutative corrections to the Bell operator. This indicates that, at least for squeezed states, the privileged states to test Bell correlations, noncommutativity versions of quantum mechanics remain as nonlocal as quantum mechanics itself. (AU)

Processo FAPESP: 15/05903-4 - Emaranhamento de estruturas de bi-espinores no SU(2) x SU(2) e correlações quânticas adicionais exibidas por sistemas tipo-Dirac como grafeno e íons aprisionados
Beneficiário:Alex Eduardo de Bernardini
Modalidade de apoio: Auxílio à Pesquisa - Regular