Entanglement of Dirac bi-spinor states driven by Poincaré classes of coupling potentials

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• 作者：Victor A.S.V. Bittencourt ; ^{vbittencourt@df.ufscar.br" class="auth_mail" title="E-mail the corresponding author} ; Alex E. Bernardini ^{alexeb@ufscar.br" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Entanglement ; Poincaré ; Quantum correlations ; Dirac equation
• 刊名：Annals of Physics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：364
• 期：Complete
• 页码：182-199
• 全文大小：1684 K

文摘

A generalized description of entanglement and quantum correlation properties constraining internal degrees of freedom of Dirac(-like) structures driven by arbitrary Poincaré 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)⊗SU(2)$\text{SU}\left(2\right)\otimes \text{SU}\left(2\right)$ 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 Poincaré 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.