Symplectic density matrix

Amorim, Ronni Geraldo Gomes de; Santana, Ademir Eugênio de

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Campo DC	Valor	Idioma
dc.contributor.author	Amorim, Ronni Geraldo Gomes de	-
dc.contributor.author	Santana, Ademir Eugênio de	-
dc.date.accessioned	2024-06-24T12:19:55Z	-
dc.date.available	2024-06-24T12:19:55Z	-
dc.date.issued	2023-05-30	-
dc.identifier.citation	AMORIM, Ronni G. G.; SANTANA, Ademir E. Symplectic density matrix. Brazilian Journal of Physics, [S. l.], v. 53, art. n. 102, 2023. DOI: https://doi.org/10.1007/s13538-023-01272-2.	pt_BR
dc.identifier.uri	http://repositorio2.unb.br/jspui/handle/10482/48373	-
dc.language.iso	eng	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Symplectic density matrix	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Matriz de densidade simplética	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s13538-023-01272-2	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s13538-023-01272-2	pt_BR
dc.description.abstract1	The quasi amplitude of probability, a concept associated with the Wigner function, is used to introduce the notion of sym plectic density matrix, ?. The Liouville-Von Neumann equation is derived in phase space by using symmetry. The physi cal content of ? is analyzed in detail, in particular with the study of the classical limit. The first application addresses the problem of quark-antiquark interaction, described by the so-called Cornell potential. The matrix ? is calculated, providing a phase space description of the quark-antiquark state. For the model considered here, the quark confinement is derived, such that the distance of confinement is about 4 GeV−1 . This result improves theoretical calculations in the literature, approach ing to the order of experimental results. Another application is the calculation of ? considering mixed state systems. Since ? is a density of probability, the entropy is defined without ambiguity, and as such the Gibbs ensemble is introduced for a quantum system in the phase space representation. Then a harmonic oscillator system at finite temperature is studied. The second mixed state system is a maximally entangled bipartite state. In these applications, when it is possible, the nature of ? is compared with the Wigner function.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-0065-797X	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Faculdade Gama	pt_BR
dc.contributor.affiliation	Universidade de Brasília, International Center of Physics	pt_BR
dc.description.unidade	Faculdade UnB Gama (FGA)	pt_BR
dc.description.unidade	Instituto de Física (IF)	pt_BR
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