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dc.contributor.authorCerrillo, Javier
dc.contributor.authorCao, Jianshu
dc.date.accessioned2014-08-22T16:47:44Z
dc.date.available2014-08-22T16:47:44Z
dc.date.issued2014-03
dc.date.submitted2013-07
dc.identifier.issn0031-9007
dc.identifier.issn1079-7114
dc.identifier.urihttp://hdl.handle.net/1721.1/88989
dc.description.abstractThe initial stages of the evolution of an open quantum system encode the key information of its underlying dynamical correlations, which in turn can predict the trajectory at later stages. We propose a general approach based on non-Markovian dynamical maps to extract this information from the initial trajectories and compress it into non-Markovian transfer tensors. Assuming time-translational invariance, the tensors can be used to accurately and efficiently propagate the state of the system to arbitrarily long time scales. The non-Markovian transfer tensor method (TTM) demonstrates the coherent-to-incoherent transition as a function of the strength of quantum dissipation and predicts the noncanonical equilibrium distribution due to the system-bath entanglement. TTM is equivalent to solving the Nakajima-Zwanzig equation and, therefore, can be used to reconstruct the dynamical operators (the system Hamiltonian and memory kernel) from quantum trajectories obtained in simulations or experiments. The concept underlying the approach can be generalized to physical observables with the goal of learning and manipulating the trajectories of an open quantum system.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant CHE-1112825)en_US
dc.description.sponsorshipUnited States. Defense Advanced Research Projects Agencyen_US
dc.description.sponsorshipUnited States. Dept. of Energyen_US
dc.description.sponsorshipUnited States. Dept. of Energy. Center for Excitonics (Grant DE-SC0001088)en_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevLett.112.110401en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAmerican Physical Societyen_US
dc.titleNon-Markovian Dynamical Maps: Numerical Processing of Open Quantum Trajectoriesen_US
dc.typeArticleen_US
dc.identifier.citationCerrillo, Javier, and Jianshu Cao. “Non-Markovian Dynamical Maps: Numerical Processing of Open Quantum Trajectories.” Physical Review Letters 112, no. 11 (March 2014). © 2014 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Chemistryen_US
dc.contributor.mitauthorCerrillo, Javieren_US
dc.contributor.mitauthorCao, Jianshuen_US
dc.relation.journalPhysical Review Lettersen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsCerrillo, Javier; Cao, Jianshuen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-7616-7809
mit.licensePUBLISHER_POLICYen_US


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