Bell operator and Gaussian squeezed states in noncommutative quantum mechanics

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Bertolami, O (Author) FCUP; Catarina Bastos (Author) Other; Alex E Bernardini (Author) Other; Nuno Costa Dias (Author) Other; Joao Nuno Prata (Author) Other

Journal

Title: Physical Review D: Particles and fields

Vol. 93

ISSN: 0556-2821

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 21 Citations

Scopus - 22 Citations

Other information

Authenticus ID: P-00K-HQ3

DOI: 10.1103/physrevd.93.104055

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9