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dc.contributor.authorDodin, Amro
dc.contributor.authorWillard, Adam P.
dc.date.accessioned2020-05-22T14:16:29Z
dc.date.available2020-05-22T14:16:29Z
dc.date.issued2019-04
dc.identifier.issn0021-9606
dc.identifier.urihttps://hdl.handle.net/1721.1/125411
dc.description.abstractWe present a general formalism for studying the effects of heterogeneity in open quantum systems. We develop this formalism in the state space of density operators, on which ensembles of quantum states can be conveniently represented by probability distributions. We describe how this representation reduces ambiguity in the definition of quantum ensembles by providing the ability to explicitly separate classical and quantum sources of probabilistic uncertainty. We then derive explicit equations of motion for state space distributions of both open and closed quantum systems and demonstrate that resulting dynamics take a fluid mechanical form analogous to a classical probability fluid on Hamiltonian phase space, thus enabling a straightforward quantum generalization of Liouville's theorem. We illustrate the utility of our formalism by analyzing the dynamics of an open two-level system using the state-space formalism that is shown to be consistent with the derived analytical results.en_US
dc.language.isoen
dc.publisherAIP Publishingen_US
dc.relation.isversionof10.1063/1.5100736en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleState space distribution and dynamical flow for closed and open quantum systemsen_US
dc.typeArticleen_US
dc.identifier.citationDodin, Amro and Adam P. Willard. “State space distribution and dynamical flow for closed and open quantum systems.” The Journal of chemical physics 15 (2019): 064106.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Chemistryen_US
dc.relation.journalThe Journal of chemical physicsen_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dc.date.updated2020-01-14T15:28:45Z
dspace.date.submission2020-01-14T15:28:47Z
mit.journal.volume15en_US
mit.journal.issue6en_US


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