Observer dependence of entanglement in nonrelativistic quantum mechanics
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
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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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) |
repository.mail.fl_str_mv |
|
_version_ |
1808128779676024832 |