CP symmetry and thermal effects on Dirac bi-spinor spin-parity local correlations

Author(s)

Bernardini, A. E. ^[1] ; Bittencourt, V. A. S. V. ^{[2, 3]} ; Blasone, M. ^{[2, 3]}

Affiliation

^[1] Univ Porto, Fac Ciencias, Dept Fis & Astron, Rua Campo Alegre 687, P-4169007 Porto - Portugal

^[2] Univ Salerno, Dipartimento Fis, Via Giovanni Paolo 2, 132, I-84084 Fisciano - Italy

^[3] INFN, Sez Napoli, Grp Coll Salerno, Salerno - Italy

• Document type: Journal article
• Source: ANNALS OF PHYSICS; v. 395, p. 301-316, AUG 2018.
• Web of Science Citations: 0

Abstract

Intrinsic quantum correlations supported by the SU(2) circle times SU(2) structure of the Dirac equation used to describe particle/antiparticle states, optical ion traps and bilayer graphene are investigated and connected to the description of local properties of Dirac bispinors. For quantum states driven by Dirac-like Hamiltonians, quantum entanglement and geometric discord between spin and parity degrees of freedom - sometimes mapped into equivalent low energy internal degrees of freedom - are obtained. Such spin-parity quantum correlations and the corresponding nonlocal intrinsic structures of bi-spinor fermionic states can be classified in order to relate quantum observables to the (non)local behavior of these correlations. It is shown that free particle mixed states do not violate the Clauser-Horne-Shimony-Holt inequality: the correlations in such mixed bi-spinors, although quantum, can be reproduced by a suitable local hidden variable model. Additionally, the effects due to a non-minimal coupling to a homogeneous magnetic field, and to the inclusion of thermal effects are evaluated, and quantum correlations of associated quantum mixtures and of the thermal states are all quantified. The above-mentioned correlation quantifiers are then used to measure the influence of CP transformations on spin-parity quantum correlations, and our results show that quantum entanglement is invariant under CP transformations, although the geometric discord is highly sensitive to the CP symmetry. (C) 2018 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 18/03960-9 - Fundamental structures of phase space quantum mechanics - Nonclassicality and classical-quantum correspondence applied to ordinary quantum mechanics and Dirac-like systems
• Grantee: Alex Eduardo de Bernardini
• Support Opportunities: Regular Research Grants
• FAPESP's process: 17/02294-2 - The classical-quantum correspondence of cosmological scenarios from the analysis of Quantum Decoherence and Gaussian correlations
• Grantee: Alex Eduardo de Bernardini
• Support Opportunities: Scholarships abroad - Research