Unitarity of the time-evolution and observability of non-Hermitian Hamiltonians for time-dependent Dyson maps

Página do item simplificado
dc.contributor.authorLuiz, F. S.
dc.contributor.authorPonte, M. A. de [UNESP]
dc.contributor.authorMoussa, M. H. Y.
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-12-10T19:55:03Z
dc.date.available2020-12-10T19:55:03Z
dc.date.issued2020-06-01
dc.description.abstractWe present an strategy for the derivation of a time-dependent Dyson map which ensures simultaneously the unitarity of the time evolution and the observability of the whole time-dependent non-Hermitian Hamiltonian or parts of it. The time-dependent Dyson map is derived through a constructed Schrodinger-like equation governed, in one case, by the non-Hermitian Hamiltonian itself or, in another case, by its parts. In the former case, when the whole non-Hermitian Hamiltonian is considered, our scheme ensures the time-independence of the metric operator despite the time-dependence of the Dyson map, a necessary condition for the observability of the non-Hermitian Hamiltonian. In the later case, however, when parts of the non-Hermitian Hamiltonian is considered, our method ensures the simultaneous time-dependence of the Dyson map and the metric operator. In this latter case what is ensured is the observability of the remaining part of the non-Hermitian Hamiltonian that was not chosen for the derivation of the Dyson map. Illustrative examples, for both cases, are derived from a driven non-Hermitian Harmonic oscillator.en
dc.description.affiliationUniv Sao Paulo, Inst Fis Sao Carlos, POB 369, BR-13560970 Sao Carlos, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, Campus Expt Itapeva, BR-18409010 Itapeva, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Campus Expt Itapeva, BR-18409010 Itapeva, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.format.extent9
dc.identifierhttp://dx.doi.org/10.1088/1402-4896/ab80e5
dc.identifier.citationPhysica Scripta. Bristol: Iop Publishing Ltd, v. 95, n. 6, 9 p., 2020.
dc.identifier.doi10.1088/1402-4896/ab80e5
dc.identifier.issn0031-8949
dc.identifier.urihttp://hdl.handle.net/11449/196750
dc.identifier.wosWOS:000523423400001
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofPhysica Scripta
dc.sourceWeb of Science
dc.subjectPseudo-Hermiticity
dc.subjecttime-dependent metric operator
dc.subjecttime-dependent dyson map
dc.titleUnitarity of the time-evolution and observability of non-Hermitian Hamiltonians for time-dependent Dyson mapsen
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/page/copyright
dcterms.rightsHolderIop Publishing Ltd

Arquivos

Coleções

Artigos - Engenharia Industrial Madeireira - Itapeva