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Testing nonclassicality with exact Wigner currents for an anharmonic quantum system

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Author(s):
Bernardini, Alex E.
Total Authors: 1
Document type: Journal article
Source: PHYSICAL REVIEW A; v. 98, n. 5, p. 11-pg., 2018-11-26.
Abstract

Phase-space features of the Wigner flow for an anharmonic quantum system driven by the harmonic oscillator potential modified by the addition of an inverse square (one-dimensional Coulomb-like) contribution are analytically described in terms of Wigner functions and Wigner currents. Reporting about three correlated continuity equations which quantify the flux of quantum information in the phase space, the nonclassicality profile of such an anharmonic system can be consistently obtained in terms of the fluxes of probability, purity, and von Neumann-like entropy. Considering that quantum fluctuations can be identified from distortions over the classical regime, they can be quantified through the above-mentioned information fluxes whenever some classically bounded volume of the phase space is selected. Our results suggest that the Wigner flow approach works as a probe of quantumness and classicality for a large set of anharmonic quantum systems driven by quantum wells. (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