Heat transport in an optical lattice via Markovian feedback control

dc.contributor.authorWu, Ling-Na
dc.contributor.authorEckardt, André
dc.date.accessioned2023-01-23T12:29:29Z
dc.date.available2023-01-23T12:29:29Z
dc.date.issued2022-12-15
dc.date.updated2023-01-16T05:46:38Z
dc.description.abstractAbstractUltracold atoms offer a unique opportunity to study many-body physics in a clean and well-controlled environment. However, the isolated nature of quantum gases makes it difficult to study transport properties of the system, which are among the key observables in condensed matter physics. In this work, we employ Markovian feedback control to synthesize two effective thermal baths that couple to the boundaries of a one-dimensional Bose–Hubbard chain. This allows for the realization of a heat-current-carrying state. We investigate the steady-state heat current, including its scaling with system size and its response to disorder. In order to study large systems, we use semi-classical Monte-Carlo simulation and kinetic theory. The numerical results from both approaches show, as expected, that for non- and weakly interacting systems with and without disorder one finds the same scaling of the heat current with respect to the system size as it is found for systems coupled to thermal baths. Finally, we propose and test a scheme for measuring the energy flow. Thus, we provide a route for the quantum simulation of heat-current-carrying steady states of matter in atomic quantum gases.
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
dc.identifier.eissn1367-2630
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/18038
dc.identifier.urihttps://doi.org/10.14279/depositonce-16830
dc.language.isoen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0
dc.subject.ddc530 Physikde
dc.subject.otherMarkovian feedback control
dc.subject.otherBose–Hubbard model
dc.subject.otherheat transport
dc.subject.othermaster equation
dc.subject.otherkinetic theory
dc.subject.otherMonte-Carlo simulation
dc.titleHeat transport in an optical lattice via Markovian feedback control
dc.typeArticle
dc.type.versionpublishedVersion
dcterms.bibliographicCitation.articlenumber123015
dcterms.bibliographicCitation.doi10.1088/1367-2630/aca81e
dcterms.bibliographicCitation.issue12
dcterms.bibliographicCitation.journaltitleNew Journal of Physicsen
dcterms.bibliographicCitation.originalpublishernameIOP
dcterms.bibliographicCitation.originalpublisherplaceBristol
dcterms.bibliographicCitation.volume24
dcterms.rightsHolder.referenceCreative-Commons-Lizenz
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Quantennichtgleichgewichtsdynamik
tub.publisher.universityorinstitutionTechnische Universität Berlin

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