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Phase-space continuity equations for quantum decoherence, purity, von Neumann and Renyi entropies

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Author(s):
Bernardini, Alex E. ; Bertolami, Orfeu ; Elze, HT ; Blasone, M ; Diosi, L ; Fronzoni, L ; Halliwell, JJ ; Kiefer, C ; Prati, E ; Vitiello, G
Total Authors: 10
Document type: Journal article
Source: WAKE CONFERENCE 2021; v. 1275, p. 7-pg., 2019-01-01.
Abstract

Phase-space features of the Wigner flow are examined so to provide a set of continuity equations that describe the flux of quantum information in the phase-space. The reported results suggest that the non-classicality profile of anharmonic (periodic) quantum systems can be consistently obtained in terms of the fluxes of probability, purity and von Neumann entropy. Extensions of the such phase-space quantifiers are also investigated in the context of the so-called Renyi entropy. (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