Observer dependence of entanglement in nonrelativistic quantum mechanics

Detalhes bibliográficos
Autor(a) principal: Zambianco, Matheus H. [UNESP]
Data de Publicação: 2019
Outros Autores: Landulfo, André G.S., Matsas, George E.A. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevA.100.062126
http://hdl.handle.net/11449/228761
Resumo: It was recently shown that, in general, the von Neumann spin entropy of fermionic particles is not invariant under Lorentz boosts. We show that an analogous result can be recovered (at the lowest order of v2/c2) using plain nonrelativistic quantum mechanics provided one uses that energy weighs: E=mc2. This should (i) help to moderate the skepticism on the observer dependence of the spin entropy of fermionic particles, (ii) emphasize the soft relativistic nature of this result, and (iii) show that this is a particular case of a more general class of systems, since our calculation only assumes a nonrelativistic particle endowed with an internal degree of freedom.
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spelling Observer dependence of entanglement in nonrelativistic quantum mechanicsIt was recently shown that, in general, the von Neumann spin entropy of fermionic particles is not invariant under Lorentz boosts. We show that an analogous result can be recovered (at the lowest order of v2/c2) using plain nonrelativistic quantum mechanics provided one uses that energy weighs: E=mc2. This should (i) help to moderate the skepticism on the observer dependence of the spin entropy of fermionic particles, (ii) emphasize the soft relativistic nature of this result, and (iii) show that this is a particular case of a more general class of systems, since our calculation only assumes a nonrelativistic particle endowed with an internal degree of freedom.Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271Centro de Ciências Naturais e Humanas Universidade Federal Do ABC, Avenida dos Estados, 5001Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271Universidade Estadual Paulista (UNESP)Universidade Federal do ABC (UFABC)Zambianco, Matheus H. [UNESP]Landulfo, André G.S.Matsas, George E.A. [UNESP]2022-04-29T08:28:31Z2022-04-29T08:28:31Z2019-12-23info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.100.062126Physical Review A, v. 100, n. 6, 2019.2469-99342469-9926http://hdl.handle.net/11449/22876110.1103/PhysRevA.100.0621262-s2.0-85077228555Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2022-04-29T08:28:31Zoai:repositorio.unesp.br:11449/228761Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:15:09.754706Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Observer dependence of entanglement in nonrelativistic quantum mechanics
title Observer dependence of entanglement in nonrelativistic quantum mechanics
spellingShingle Observer dependence of entanglement in nonrelativistic quantum mechanics
Zambianco, Matheus H. [UNESP]
title_short Observer dependence of entanglement in nonrelativistic quantum mechanics
title_full Observer dependence of entanglement in nonrelativistic quantum mechanics
title_fullStr Observer dependence of entanglement in nonrelativistic quantum mechanics
title_full_unstemmed Observer dependence of entanglement in nonrelativistic quantum mechanics
title_sort Observer dependence of entanglement in nonrelativistic quantum mechanics
author Zambianco, Matheus H. [UNESP]
author_facet Zambianco, Matheus H. [UNESP]
Landulfo, André G.S.
Matsas, George E.A. [UNESP]
author_role author
author2 Landulfo, André G.S.
Matsas, George E.A. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Federal do ABC (UFABC)
dc.contributor.author.fl_str_mv Zambianco, Matheus H. [UNESP]
Landulfo, André G.S.
Matsas, George E.A. [UNESP]
description It was recently shown that, in general, the von Neumann spin entropy of fermionic particles is not invariant under Lorentz boosts. We show that an analogous result can be recovered (at the lowest order of v2/c2) using plain nonrelativistic quantum mechanics provided one uses that energy weighs: E=mc2. This should (i) help to moderate the skepticism on the observer dependence of the spin entropy of fermionic particles, (ii) emphasize the soft relativistic nature of this result, and (iii) show that this is a particular case of a more general class of systems, since our calculation only assumes a nonrelativistic particle endowed with an internal degree of freedom.
publishDate 2019
dc.date.none.fl_str_mv 2019-12-23
2022-04-29T08:28:31Z
2022-04-29T08:28:31Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevA.100.062126
Physical Review A, v. 100, n. 6, 2019.
2469-9934
2469-9926
http://hdl.handle.net/11449/228761
10.1103/PhysRevA.100.062126
2-s2.0-85077228555
url http://dx.doi.org/10.1103/PhysRevA.100.062126
http://hdl.handle.net/11449/228761
identifier_str_mv Physical Review A, v. 100, n. 6, 2019.
2469-9934
2469-9926
10.1103/PhysRevA.100.062126
2-s2.0-85077228555
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review A
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
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