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dc.contributor.authorFowler-Wright, Piper
dc.contributor.authorArnardóttir, Kristín B.
dc.contributor.authorKirton, Peter
dc.contributor.authorLovett, Brendon W.
dc.contributor.authorKeeling, Jonathan
dc.date.accessioned2023-09-05T15:30:02Z
dc.date.available2023-09-05T15:30:02Z
dc.date.issued2023-09-01
dc.identifier291716271
dc.identifier71650e1e-ee80-42b1-a60e-151d62df2a8a
dc.identifier85171783626
dc.identifier.citationFowler-Wright , P , Arnardóttir , K B , Kirton , P , Lovett , B W & Keeling , J 2023 , ' Determining the validity of cumulant expansions for central spin models ' , Physical Review Research , vol. 5 , no. 3 , 033148 . https://doi.org/10.1103/PhysRevResearch.5.033148en
dc.identifier.issn2643-1564
dc.identifier.otherArXiv: http://arxiv.org/abs/2303.04410v2
dc.identifier.otherORCID: /0000-0003-1060-445X/work/141643430
dc.identifier.otherORCID: /0000-0002-4283-552X/work/141644044
dc.identifier.otherORCID: /0000-0002-6624-2307/work/141644052
dc.identifier.otherORCID: /0000-0001-5142-9585/work/141644119
dc.identifier.urihttps://hdl.handle.net/10023/28317
dc.descriptionFunding: P.F.-W. acknowledges support from EPSRC (EP/T518062/1). K.B.A, B.W.L., and J.K. acknowledge support from EPSRC (EP/T014032/1).en
dc.description.abstractFor a model with many-to-one connectivity it is widely expected that mean-field theory captures the exact many-particle limit, and that higher-order cumulant expansions of the Heisenberg equations converge to this same limit whilst providing improved approximations at finite N. Here we show that this is in fact not always the case. Instead, whether mean-field theory correctly describes the large-N limit depends on how the model parameters scale with N, and the convergence of cumulant expansions may be non-uniform across even and odd orders. Further, even when a higher-order cumulant expansion does recover the correct limit, the error is not monotonic with N and may exceed that of mean-field theory.
dc.format.extent9
dc.format.extent736016
dc.language.isoeng
dc.relation.ispartofPhysical Review Researchen
dc.subjectQC Physicsen
dc.subjectTK Electrical engineering. Electronics Nuclear engineeringen
dc.subjectDASen
dc.subjectMCCen
dc.subjectNCADen
dc.subject.lccQCen
dc.subject.lccTKen
dc.titleDetermining the validity of cumulant expansions for central spin modelsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews. Centre for Designer Quantum Materialsen
dc.contributor.institutionUniversity of St Andrews. Condensed Matter Physicsen
dc.identifier.doi10.1103/PhysRevResearch.5.033148
dc.description.statusPeer revieweden
dc.identifier.grantnumberEP/T014032/1en


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