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

Autor(es)

Bernardini, A. E. ^[1] ; da Rocha, R. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL PLUS; v. 134, n. 1 JAN 17 2019.
• Citações Web of Science: 0

Resumo

.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)

• Processo FAPESP: 18/03960-9 - Estruturas fundamentais da Mecânica Quântica no espaço de fases -- Não-classicalidade e correspondência clássico-quântica em sistemas quânticos ordinários e sistemas tipo-Dirac
• Beneficiário: Alex Eduardo de Bernardini
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/18897-8 - Correspondência fluido/gravidade, setores fermiônicos e suas ramificações
• Beneficiário: Roldão da Rocha
• Modalidade de apoio: Auxílio à Pesquisa - Regular