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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Phase-space quantum profile of Poschl-Teller two-level systems

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Author(s):
Bernardini, A. E. [1] ; da Rocha, R. [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Sao Carlos, Dept Fis, POB 676, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210580 Santo Andre - Brazil
Total Affiliations: 2
Document type: Journal article
Source: EUROPEAN PHYSICAL JOURNAL PLUS; v. 134, n. 1 JAN 17 2019.
Web of Science Citations: 0
Abstract

.The quantum phase-space dynamics driven by hyperbolic Poschl-Teller (PT) potentials is investigated in the context of the Weyl-Wigner quantum mechanics. The obtained Wigner functions for quantum superpositions of ground and first excited states exhibit some non-classical and non-linear patterns which are theoretically tested and quantified according to a non-Gaussian continuous variable framework. It comprises the computation of quantifiers of non-classicality for an anharmonic two-level system where non-Liouvillian features are identified through the phase-space portrait of quantum fluctuations. In particular, the associated non-Gaussian profiles are quantified by measures of kurtosis and negative entropy. As expected from the PT quasi-harmonic profile, our results suggest that quantum wells can work as an experimental platform that approaches the Gaussian behavior in the investigation of the interplay between classical and quantum scenarios. Furthermore, it is also verified that the Wigner representation admits the construction of a two-particle bipartite quantum system of continuous variables, A and B , which are shown to be separable under Gaussian and non-Gaussian continuous variable criteria. (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
FAPESP's process: 17/18897-8 - Fluid/gravity correspondence, fermionic sectors and its ramifications
Grantee:Roldão da Rocha
Support Opportunities: Regular Research Grants