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Exponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effect

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dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorCarollo, Federico
dc.contributor.authorLasanta Becerra, Antonio
dc.contributor.authorLesanovsky, Igor
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades (España)es
dc.date.accessioned2023-01-30T11:15:42Z
dc.date.available2023-01-30T11:15:42Z
dc.date.issued2021-08-06
dc.description.abstractErgodicity breaking and slow relaxation are intriguing aspects of nonequilibrium dynamics both in classical and quantum settings. These phenomena are typically associated with phase transitions, e.g., the emergence of metastable regimes near a first-order transition or scaling dynamics in the vicinity of critical points. Despite being of fundamental interest the associated divergent timescales are a hindrance when trying to explore steady-state properties. Here we show that the relaxation dynamics of Markovian open quantum systems can be accelerated exponentially by devising an optimal unitary transformation that is applied to the quantum system immediately before the actual dynamics. This initial "rotation" is engineered in such a way that the state of the quantum system no longer excites the slowest decaying dynamical mode. We illustrate our idea - which is inspired by the so-called Mpemba effect, i.e., water freezing faster when initially heated up - by showing how to achieve an exponential speeding-up in the convergence to stationarity in Dicke models, and how to avoid metastable regimes in an all-to-all interacting spin system.en
dc.description.sponsorshipF. C. and I. L. acknowledge support from the Wissenschaftler-Rückkehrprogramm GSO/CZS of the Carl-Zeiss-Stiftung and the German Scholars Organization e.V., as well as through the Deutsche Forschungsgemeinsschaft (DFG, German Research Foundation) under Project No. 435696605. A. L. acknowledges support from the Spanish Ministerio de Ciencia, Innovación y Universidades, and the Agencia Estatal de Investigación through Grants No. MTM2017-84446-C2-2-R and No. PID2020-116567GB-C22.en
dc.format.extent6
dc.identifier.bibliographicCitationCarollo, F., Lasanta, A. & Lesanovsky, I. (2021). Exponentially Accelerated Approach to Stationarity in Markovian Open Quantum Systems through the Mpemba Effect. Physical Review Letters, 127(6), 060401.en
dc.identifier.doihttps://doi.org/10.1103/physrevlett.127.060401
dc.identifier.issn0031-9007
dc.identifier.publicationfirstpage060401-1
dc.identifier.publicationissue6
dc.identifier.publicationlastpage060401-6
dc.identifier.publicationtitlePhysical Review Lettersen
dc.identifier.publicationvolume127
dc.identifier.urihttps://hdl.handle.net/10016/36403
dc.identifier.uxxiAR/0000028786
dc.language.isoeng
dc.publisherAmerican Physical Societyen
dc.relation.projectIDGobierno de España. MTM2017-84446-C2-2-Res
dc.relation.projectIDGobierno de España. PID2020-116567GB-C22es
dc.rights© 2021 American Physical Society.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaFísicaes
dc.subject.ecienciaMatemáticases
dc.subject.otherNonequilibrium statistical mechanicsen
dc.subject.otherOpen quantum systemsen
dc.subject.otherMarkovian processesen
dc.subject.otherMaster equationen
dc.titleExponentially accelerated approach to stationarity in Markovian open quantum systems through the Mpemba effecten
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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