Observer dependence of entanglement in nonrelativistic quantum mechanics<bold> </bold>
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/11449/196443 |
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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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 |
|
_version_ |
1808129598674698240 |