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dc.contributor.authorThingna, Juzar
dc.contributor.authorManzano Diosdado, Daniel 
dc.date.accessioned2021-10-20T09:45:50Z
dc.date.available2021-10-20T09:45:50Z
dc.date.issued2021-07-07
dc.identifier.citationThingna, Juzar Manzano Diosdado, Daniel. Degenerated Liouvillians and steady-state reduced density matrices. Chaos 31, 073114 (2021); [https://doi.org/10.1063/5.0045308]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/71009
dc.descriptionJ.T. acknowledges support by the Institute for Basic Science in Republic of Korea (No. IBS-R024-Y2). D.M. acknowledges the Spanish Ministry and the Agencia Espanola de Investigacion (AEI) for financial support under Grant No. FIS2017-84256-P (FEDER funds). We would like to thank Sai Vinjanampathy for discussions and constructive comments on our manuscript. Documentes_ES
dc.description.abstractSymmetries in an open quantum system lead to degenerated Liouvillians that physically imply the existence of multiple steady states. In such cases, obtaining the initial condition independent steady states is highly nontrivial since any linear combination of the true asymptotic states, which may not necessarily be a density matrix, is also a valid asymptote for the Liouvillian. Thus, in this work, we consider different approaches to obtain the true steady states of a degenerated Liouvillian. In the ideal scenario, when the open system symmetry operators are known, we show how these can be used to obtain the invariant subspaces of the Liouvillian and hence the steady states. We then discuss two other approaches that do not require any knowledge of the symmetry operators. These could be powerful numerical tools to deal with quantum many-body complex open systems. The first approach that is based on Gram–Schmidt orthonormalization of density matrices allows us to obtain all the steady states, whereas the second one based on large deviations allows us to obtain the non-degenerated maximum and minimum current carrying states. We discuss the symmetry-decomposition and the orthonormalization methods with the help of an open para-benzene ring and examine interesting scenarios such as the dynamical restoration of Hamiltonian symmetries in the long-time limit and apply the method to study the eigenspacing statistics of the nonequilibrium steady state.es_ES
dc.description.sponsorshipInstitute for Basic Science in Republic of Korea IBS-R024-Y2es_ES
dc.description.sponsorshipSpanish Governmentes_ES
dc.description.sponsorshipAgencia Española de Investigacion (AEI) FIS2017-84256-Pes_ES
dc.language.isoenges_ES
dc.publisherAIP Publishinges_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.titleDegenerated Liouvillians and steady-state reduced density matrices EMBARGO HASTA 07/07/2022es_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccesses_ES
dc.identifier.doi10.1063/5.0045308
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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