Quantum engineering of a synthetic thermal bath for bosonic atoms in a one-dimensional optical lattice via Markovian feedback control

dc.contributor.authorWu, Ling-Na
dc.contributor.authorEckardt, André
dc.date.accessioned2022-10-31T10:08:14Z
dc.date.available2022-10-31T10:08:14Z
dc.date.issued2022-09-21
dc.description.abstractWe propose and investigate a scheme for engineering a synthetic thermal bath for a bosonic quantum gas in a one-dimensional optical lattice based on Markovian feedback control. The performance of our scheme is quantified by the fidelity between the steady state of the system and the effective thermal state. For double-well and triple-well systems with non-interacting particles, the steady state is found to be an exact thermal state, which is attributed to the fact that the transfer rates between all pairs of coupled eigenstates satisfy detailed balance condition. The scenario changes when there are more lattice sites, where the detailed balance condition does not hold any more, but remains an accurate approximation. Remarkably, our scheme performs very well at low and high temperature regimes, with the fidelity close to one. The performance at the intermediate temperature regime (where a crossover into a Bose condensed regime occurs) is slightly worse, and the fidelity shows a gentle decrease with increasing system size. We also discuss the interacting cases. In contrast to the non-interacting cases, the scheme is found to perform better at a higher temperature. Another difference is that the minimal temperature that can be engineered is nonzero and increases with the interaction strength.en
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
dc.description.sponsorshipTU Berlin, Open-Access-Mittel – 2022en
dc.identifier.eissn2542-4653
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/17605
dc.identifier.urihttps://doi.org/10.14279/depositonce-16388
dc.language.isoen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc530 Physikde
dc.subject.othersynthetic thermal bathen
dc.subject.otherbosonic quantum gasen
dc.subject.otherquantum engineeringen
dc.subject.otheroptical latticeen
dc.subject.otherMarkovian feedback controlen
dc.titleQuantum engineering of a synthetic thermal bath for bosonic atoms in a one-dimensional optical lattice via Markovian feedback controlen
dc.typeArticle
dc.type.versionpublishedVersion
dcterms.bibliographicCitation.articlenumber059
dcterms.bibliographicCitation.doi10.21468/SciPostPhys.13.3.059
dcterms.bibliographicCitation.issue3
dcterms.bibliographicCitation.journaltitleSciPost physics
dcterms.bibliographicCitation.originalpublishernameSciPost Foundation
dcterms.bibliographicCitation.originalpublisherplaceAmsterdam
dcterms.bibliographicCitation.volume13
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Quantennichtgleichgewichtsdynamik
tub.publisher.universityorinstitutionTechnische Universität Berlin

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