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dc.contributor.authorWurtz, Jonathanen_US
dc.contributor.authorPolkovnikov, Anatolien_US
dc.contributor.authorSels, Driesen_US
dc.date.accessioned2019-06-12T17:48:56Z
dc.date.available2019-06-12T17:48:56Z
dc.date.issued2018-08-01
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000442061000021&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationJonathan Wurtz, Anatoli Polkovnikov, Dries Sels. 2018. "Cluster truncated Wigner approximation in strongly interacting systems." ANNALS OF PHYSICS, Volume 395, pp. 341 - 365 (25). https://doi.org/10.1016/j.aop.2018.06.001
dc.identifier.issn0003-4916
dc.identifier.issn1096-035X
dc.identifier.urihttps://hdl.handle.net/2144/35975
dc.description.abstractWe present a general method by which linear quantum Hamiltonian dynamics with exponentially many degrees of freedom is replaced by approximate classical nonlinear dynamics with the number of degrees of freedom (phase space dimensionality) scaling polynomially in the system size. This method is based on generalization of the truncated Wigner approximation (TWA) to a higher dimensional phase space, where phase space variables are associated with a complete set of quantum operators spanning finite size clusters. The method becomes asymptotically exact with increasing cluster size. The crucial feature of TWA is fluctuating initial conditions, which we approximate by a Gaussian distribution. We show that such fluctuations dramatically increase accuracy of TWA over traditional cluster mean-field approximations. In this way we can treat on equal footing quantum and thermal fluctuations as well as compute entanglement and various equal and non-equal time correlation functions. The main limitation of the method is exponential scaling of the phase space dimensionality with the cluster size, which can be significantly reduced by using the language of Schwinger bosons and can likely be further reduced by truncating the local Hilbert space variables. We demonstrate the power of this method analyzing dynamics in various spin chains with and without disorder and show that we can capture such phenomena as long time hydrodynamic relaxation, many-body localization and the ballistic spread of entanglement.en_US
dc.description.sponsorshipWe would like to thank Shainen Davidson for collaboration on early stages of this work and on many valuable discussions. J.W. and A.P. were partially supported by NSF DMR-1506340 and AFOSR FA9550-16-1-0334. D.S. acknowledges support from the FWO as post-doctoral fellow of the Research Foundation - Flanders and CMTV. (DMR-1506340 - NSF; FA9550-16-1-0334 - AFOSR; FWO; CMTV)en_US
dc.format.extentp. 341 - 365en_US
dc.languageEnglish
dc.language.isoen_US
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCEen_US
dc.relation.ispartofANNALS OF PHYSICS
dc.subjectScience & technologyen_US
dc.subjectPhysical sciencesen_US
dc.subjectPhysics, multidisciplinaryen_US
dc.subjectPhysicsen_US
dc.subjectSemiclassical dynamicsen_US
dc.subjectPhase spaceen_US
dc.subjectWigner functionsen_US
dc.subjectStrongly interacting quantum systemsen_US
dc.subjectQuantum dynamicsen_US
dc.subjectEntangled pair statesen_US
dc.subjectMatrix product statesen_US
dc.subjectDynamicsen_US
dc.subjectRepresentationen_US
dc.subjectMechanicsen_US
dc.subjectNuclear & particles physicsen_US
dc.subjectMathematical sciencesen_US
dc.titleCluster truncated Wigner approximation in strongly interacting systemsen_US
dc.typeArticleen_US
dc.description.versionAccepted manuscripten_US
dc.identifier.doi10.1016/j.aop.2018.06.001
pubs.elements-sourceweb-of-scienceen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusPublisheden_US
dc.identifier.orcid0000-0002-5549-7400 (Polkovnikov, Anatoli)
dc.identifier.mycv365357


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