Quantum–Classical Entropy Analysis for Nonlinearly-Coupled Continuous-Variable Bipartite Systems

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dc.contributor.authorSanz, Ángel S.
dc.date.accessioned2023-06-22T12:26:58Z
dc.date.available2023-06-22T12:26:58Z
dc.date.issued2022-01-27
dc.description.abstractThe correspondence principle plays a fundamental role in quantum mechanics, which naturally leads us to inquire whether it is possible to find or determine close classical analogs of quantum states in phase space—a common meeting point to both classical and quantum density statistical descriptors. Here, this issue is tackled by investigating the behavior of classical analogs arising upon the removal of all interference traits displayed by the Wigner distribution functions associated with a given pure quantum state. Accordingly, the dynamical evolution of the linear and von Neumann entropies is numerically computed for a continuous-variable bipartite system, and compared with the corresponding classical counterparts, in the case of two quartic oscillators nonlinearly coupled under regular and chaos conditions. Three quantum states for the full system are considered: a Gaussian state, a cat state, and a Bell-type state. By comparing the quantum and classical entropy values, and particularly their trends, it is shown that, instead of entanglement production, such entropies rather provide us with information on the system (either quantum or classical) delocalization. This gradual loss of information translates into an increase in both the quantum and the classical realms, directly connected to the increase in the correlations between both parties’ degrees of freedom which, in the quantum case, is commonly related to the production of entanglement.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. Horizonte 2020
dc.description.sponsorshipSpanish Agencia Estatal de Investigación
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/75098
dc.identifier.doi10.3390/e24020190
dc.identifier.issn1099-4300
dc.identifier.officialurlhttps://doi.org/10.3390/e24020190
dc.identifier.relatedurlhttps://www.mdpi.com/1099-4300/24/2/190/htm
dc.identifier.urihttps://hdl.handle.net/20.500.14352/72497
dc.issue.number2
dc.journal.titleEntropy
dc.language.isoeng
dc.page.initial190
dc.publisherMPDI
dc.relation.projectIDSTORMYTUNE (899587)
dc.relation.projectIDPCI2019-111874-2
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.keywordWigner distribution function
dc.subject.keywordentanglement
dc.subject.keywordquantum–classical correspondence
dc.subject.keywordentropy measurement
dc.subject.keywordquantum dynamics
dc.subject.keywordquantum foundations
dc.subject.keywordopen quantum systems
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleQuantum–Classical Entropy Analysis for Nonlinearly-Coupled Continuous-Variable Bipartite Systems
dc.typejournal article
dc.volume.number24
dspace.entity.typePublication
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