Fundamental structures of phase space quantum mechanics - Nonclassicality and classical-quantum correspondence applied to ordinary quantum mechanics and Dirac-like systems

• Grant number: 18/03960-9
• Support type: Regular Research Grants
• Duration: July 01, 2018 - June 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Alex Eduardo de Bernardini
• Grantee: Alex Eduardo de Bernardini
• Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

This project is compartmentalized into two closely connected stages.The first stage contemplates the development and the use of new fundamental structures of quantum mechanics described according to Wigner's representation in phase space as to qualitatively and quantitatively describe the content of decoherence, non-classicality, locality and even continuous variable correlations of two quantum modes of ordinary quantum systems, in such a way as to test some recently introduced theoretical tools which quantify the classical-quantum correspondence for these systems.The second step involves the application of these tools to the dynamics described by the Dirac equation driven by the simplest classes of quantum potentials described according to the Poicar\'e's group classification.As a subsequent proposal, the details involving the preservation of covariant structures (symplectic, Lorentz, etc.) will be addressed in obtaining quantum correlations as entanglement of formation, geometric discord and logarithmic negativity.In particular, we expect that the inclusion of localization characteristics in Dirac-like systems, and the subsequent description of their influence on the quantum information content of these systems, can be described in Dirac-type platforms, from from trapped ions described according to the Jaynes-Cummings dynamics to graphene in double layers, which have been broadly framed in a description of Quantum Mechanics that we have developed in previous projects. (AU)

Scientific publications

(9)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FERNANDO E SILVA, CAIO; BERNARDINI, ALEX E. Classical and statistical limits of the quantum singular oscillator. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 558, NOV 15 2020. Web of Science Citations: 0.

BERNARDINI, ALEX E. On the elementary information content of thermodynamic ensembles. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 557, NOV 1 2020. Web of Science Citations: 0.

BERNARDINI, ALEX E. Phase-space elementary information content of confined Dirac spinors. EUROPEAN PHYSICAL JOURNAL PLUS, v. 135, n. 8 AUG 25 2020. Web of Science Citations: 0.

BLASONE, MASSIMO; BITTENCOURT, VICTOR A. S. V.; BERNARDINI, ALEX E. Helicity rotation induced by Lorentz boosts. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, v. 17, n. 8, SI DEC 2019. Web of Science Citations: 0.

BERNARDINI, A. E.; DA ROCHA, R. Cosmological comoving behavior of the configurational entropy. Physics Letters B, v. 796, p. 107-111, SEP 10 2019. Web of Science Citations: 0.

BERNARDINI, A. E.; DA ROCHA, R. Phase-space quantum profile of Poschl-Teller two-level systems. EUROPEAN PHYSICAL JOURNAL PLUS, v. 134, n. 1 JAN 17 2019. Web of Science Citations: 0.

BERNARDINI, A. E.; DA ROCHA, R. Informational entropic Regge trajectories of meson families in AdS/QCD. Physical Review D, v. 98, n. 12 DEC 20 2018. Web of Science Citations: 5.

BERNARDINI, ALEX E. Testing nonclassicality with exact Wigner currents for an anharmonic quantum system. Physical Review A, v. 98, n. 5 NOV 26 2018. Web of Science Citations: 0.

BERNARDINI, A. E.; BITTENCOURT, V. A. S. V.; BLASONE, M. CP symmetry and thermal effects on Dirac bi-spinor spin-parity local correlations. ANNALS OF PHYSICS, v. 395, p. 301-316, AUG 2018. Web of Science Citations: 0.