Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>

Detalhes bibliográficos
Autor(a) principal: Zambianco, Matheus H. [UNESP]
Data de Publicação: 2019
Outros Autores: Landulfo, Andre 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/11449/196443
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 v(2)/c(2)) using plain nonrelativistic quantum mechanics provided one uses that energy weighs: E = mc(2). 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.<bold> </bold>
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spelling Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>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 v(2)/c(2)) using plain nonrelativistic quantum mechanics provided one uses that energy weighs: E = mc(2). 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.<bold> </bold>Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, BrazilUniv Fed ABC, Ctr Ciencias Nat & Humanas, Ave Estados 5001, BR-09210580 Santo Andre, SP, BrazilUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, BrazilFAPESP: 2018/24810-5FAPESP: 2017/15084-6CNPq: 301544/2018-2Amer Physical SocUniversidade Estadual Paulista (Unesp)Universidade Federal do ABC (UFABC)Zambianco, Matheus H. [UNESP]Landulfo, Andre G. S.Matsas, George E. A. [UNESP]2020-12-10T19:45:08Z2020-12-10T19:45:08Z2019-12-23info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article5http://dx.doi.org/10.1103/PhysRevA.100.062126Physical Review A. College Pk: Amer Physical Soc, v. 100, n. 6, 5 p., 2019.2469-9926http://hdl.handle.net/11449/19644310.1103/PhysRevA.100.062126WOS:000504428800004Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2021-10-23T04:23:37Zoai:repositorio.unesp.br:11449/196443Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-06T00:14:18.930357Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>
title Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>
spellingShingle Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>
Zambianco, Matheus H. [UNESP]
title_short Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>
title_full Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>
title_fullStr Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>
title_full_unstemmed Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>
title_sort Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>
author Zambianco, Matheus H. [UNESP]
author_facet Zambianco, Matheus H. [UNESP]
Landulfo, Andre G. S.
Matsas, George E. A. [UNESP]
author_role author
author2 Landulfo, Andre 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, Andre 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 v(2)/c(2)) using plain nonrelativistic quantum mechanics provided one uses that energy weighs: E = mc(2). 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.<bold> </bold>
publishDate 2019
dc.date.none.fl_str_mv 2019-12-23
2020-12-10T19:45:08Z
2020-12-10T19:45:08Z
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. College Pk: Amer Physical Soc, v. 100, n. 6, 5 p., 2019.
2469-9926
http://hdl.handle.net/11449/196443
10.1103/PhysRevA.100.062126
WOS:000504428800004
url http://dx.doi.org/10.1103/PhysRevA.100.062126
http://hdl.handle.net/11449/196443
identifier_str_mv Physical Review A. College Pk: Amer Physical Soc, v. 100, n. 6, 5 p., 2019.
2469-9926
10.1103/PhysRevA.100.062126
WOS:000504428800004
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.format.none.fl_str_mv 5
dc.publisher.none.fl_str_mv Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
dc.source.none.fl_str_mv Web of Science
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)
repository.mail.fl_str_mv
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