Intrinsic quantum correlations for Gaussian localized Dirac cat states in phase space

• URL: http://arxiv.org/abs/2111.02479v1
• Date: Wed, 3 Nov 2021 19:14:23 GMT
• Title: Intrinsic quantum correlations for Gaussian localized Dirac cat states in phase space
• Authors: Caio Fernando e Silva, Alex E. Bernardini
• Abstract summary: We study localized Dirac cat states as carriers of qubits correlated by phase-space variables. The intrinsic entanglement profile implied by the Dirac Hamiltonian is then investigated so as to shed a light on quantum states as carriers of qubits correlated by phase-space variables. Our results show that the Dirac Wigner functions for cat states exhibit an almost maximized persistent mutual information profile.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Following the information-based approach to Dirac spinors under a constant magnetic field, the phase-space representation of symmetric and anti-symmetric localized Dirac cat states is obtained. The intrinsic entanglement profile implied by the Dirac Hamiltonian is then investigated so as to shed a light on quantum states as carriers of qubits correlated by phase-space variables. Corresponding to the superposition of Gaussian states, cat states exhibit non-trivial elementary information dynamics which include the interplay between intrinsic entanglement and quantum superposition as reported by the corresponding Dirac archetypes. Despite the involved time-evolution as non-stationary states, the Wigner function constrains the elementary information quantifiers according to a robust framework which can be consistently used for quantifying the time-dependent $SU(2) \otimes SU(2)$ (spin projection and intrinsic parity) correlation profile of phase-space localized Dirac spinor states. Our results show that the Dirac Wigner functions for cat states -- described in terms of generalized Laguerre polynomials -- exhibit an almost maximized timely persistent mutual information profile which is engendered by either classical- or quantum-like spin-parity correlations, depending on the magnetic field intensity.

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