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dc.contributor.authorBru, J. B.
dc.contributor.authorde Siqueira Pedra, W. 
dc.dateinfo:eu-repo/date/embargoEnd/2022-11-30en_US
dc.date.accessioned2022-03-01T15:45:58Z
dc.date.available2022-03-01T15:45:58Z
dc.date.issued2021-11-01
dc.identifier.issn0003-4916
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1438
dc.description.abstractThe relationship between classical and quantum mechanics is usually understood via the limit ħ→0. This is the underlying idea behind the quantization of classical objects. The apparent incompatibility of general relativity with quantum mechanics and quantum field theory has challenged for many decades this basic idea. We recently showed (Bru and de Siqueira Pedra, 0000; Bru and de Siqueira Pedra, 2021 [46,47]) the emergence of classical dynamics for very general quantum lattice systems with mean-field interactions, without (complete) suppression of its quantum features, in the infinite volume limit. This leads to a theoretical framework in which the classical and quantum worlds are entangled. Such an entanglement is noteworthy and is a consequence of the highly non-local character of mean-field interactions. Therefore, this phenomenon should not be restricted to systems with mean-field interactions only, but should also appear in presence of interactions that are sufficiently long-range, yielding effective, classical background fields, in the spirit of the Higgs mechanism of quantum field theory. In order to present the result in a less abstract way than in its original version, here we apply it to a concrete, physically relevant, example and discuss, by this means, various important aspects of our general approach. The model we consider is not exactly solvable and the particular results obtained are new.en_US
dc.description.sponsorshipCNPq (309723/2020-5), FAPESP (2017/22340- 9), as well as by the Basque Government through the grant IT641-13 and by the Spanish Ministry of Science, Innovation and Universities: MTM2017-82160-C2-2-P.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectBCSen_US
dc.subjectClassical dynamicsen_US
dc.subjectEntanglementen_US
dc.subjectMean-fielden_US
dc.subjectQuantum dynamicsen_US
dc.titleEntanglement of classical and quantum short-range dynamics in mean-field systemsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.aop.2021.168643en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleAnnals of Physicsen_US
dc.volume.number434en_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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