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dc.contributor.authorDavidson, Shainen M.en_US
dc.contributor.authorSels, Driesen_US
dc.contributor.authorPolkovnikov, Anatolien_US
dc.date.accessioned2019-06-07T17:47:41Z
dc.date.available2019-06-07T17:47:41Z
dc.date.issued2017-09-01
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000411422700009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationShainen M Davidson, Dries Sels, Anatoli Polkovnikov. 2017. "Semiclassical approach to dynamics of interacting fermions." ANNALS OF PHYSICS, Volume 384, pp. 128 - 141 (14). https://doi.org/10.1016/j.aop.2017.07.003
dc.identifier.issn0003-4916
dc.identifier.issn1096-035X
dc.identifier.urihttps://hdl.handle.net/2144/35958
dc.description.abstractUnderstanding the behaviour of interacting fermions is of fundamental interest in many fields ranging from condensed matter to high energy physics. Developing numerically efficient and accurate simulation methods is an indispensable part of this. Already in equilibrium, fermions are notoriously hard to handle due to the sign problem. Out of equilibrium, an important outstanding problem is the efficient numerical simulation of the dynamics of these systems. In this work we develop a new semiclassical phase-space approach (a.k.a. the truncated Wigner approximation) for simulating the dynamics of interacting fermions in arbitrary dimensions. As fermions are essentially non-classical objects, a phase-space is constructed out of all fermionic bilinears. Classical phase-space is thus comprised of highly non-local (hidden) variables representing these bilinears, and the cost of the method is that it scales quadratic rather than linear with system size. We demonstrate the strength of the method by comparing the results to the exact quantum dynamics of fermion expansion in the Hubbard model and quantum thermalization in the Sachdev–Ye–Kitaev (SYK) model for small systems, where the semiclassics nearly perfectly reproduces correct results. We furthermore analyse fermion expansion in a larger, intractable by exact methods, 2D Hubbard model, which is directly relevant to recent cold atom experiments.en_US
dc.description.sponsorshipWe thank Valentin Kasper for collaboration in the early stages of this work. D.S. acknowledges support of the FWO (12M1515N) as post-doctoral fellow of the Research Foundation-Flanders. A.P. and S.D. were supported by AFOSRFA9550-16-1-0334, NSF DMR-1506340 and ARO W911NF1410540. (12M1515N - FWO; DMR-1506340 - NSF; W911NF1410540 - ARO; AFOSRFA9550-16-1-0334)en_US
dc.format.extentp. 128 - 141en_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.subjectTruncated Wigneren_US
dc.subjectFermionsen_US
dc.subjectSemiclassical dynamicsen_US
dc.subjectSachdev-Ye-Kitaeven_US
dc.subjectPhase spaceen_US
dc.subjectOperatorsen_US
dc.subjectSystemsen_US
dc.subjectNuclear & particles physicsen_US
dc.subjectMathematical sciencesen_US
dc.subjectPhysical sciencesen_US
dc.subjectClassical and quantum mechanicsen_US
dc.subjectComputerized simulationen_US
dc.subjectHidden variablesen_US
dc.subjectHigh energy physicsen_US
dc.subjectHubbard modelen_US
dc.subjectPhase spaceen_US
dc.subjectQuantum field theoryen_US
dc.subjectSemiclassical approximationen_US
dc.titleSemiclassical approach to dynamics of interacting fermionsen_US
dc.typeArticleen_US
dc.description.versionPublished versionen_US
dc.identifier.doi10.1016/j.aop.2017.07.003
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.mycv54854


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