Entanglement of Dirac bi-spinor states driven by Poincare classes of SU(2) circle times SU(2) coupling potentials

Author(s)

Bittencourt, Victor A. S. V. ^[1] ; Bernardini, Alex E. ^[1]

Affiliation

^[1] Univ Fed Sao Carlos, Dept Fis, POB 676, BR-13565905 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: ANNALS OF PHYSICS; v. 364, p. 182-199, JAN 2016.
• Web of Science Citations: 7

Abstract

A generalized description of entanglement and quantum correlation properties constraining internal degrees of freedom of Dirac (-like) structures driven by arbitrary Poincare classes of external field potentials is proposed. The role of (pseudo)scalar, (pseudo)vector and tensor interactions in producing/destroying intrinsic quantum correlations for SU(2) circle times SU(2) bi-spinor structures is discussed in terms of generic coupling constants. By using a suitable ansatz to obtain the Dirac Hamiltonian eigenspinor structure of time-independent solutions of the associated Liouville equation, the quantum entanglement, via concurrence, and quantum correlations, via geometric discord, are computed for several combinations of well-defined Poincare classes of Dirac potentials. Besides its inherent formal structure, our results set up a framework which can be enlarged as to include localization effects and to map quantum correlation effects into Dirac -like systems which describe low energy excitations of graphene and trapped ions. (C) 2015 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 15/05903-4 - SU(2) x SU(2) bi-spinor structure entanglement and additional quantum correlations exhibited by Dirac-like systems as graphene and trapped ions
• Grantee: Alex Eduardo de Bernardini
• Support Opportunities: Regular Research Grants