Bell operator and Gaussian squeezed states in noncommutative quantum mechanics
2016; American Physical Society; Volume: 93; Issue: 10 Linguagem: Inglês
10.1103/physrevd.93.104055
ISSN2470-0037
AutoresCatarina Bastos, Alex E. Bernardini, Orfeu Bertolami, Nuno Costa Dias, João Nuno Prata,
Tópico(s)Quantum Information and Cryptography
ResumoWe 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.
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