Chaos and anomalous transport in a semiclassical Bose-Hubbard chain

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dc.citation.issue3
dc.citation.rankM21
dc.citation.spage034213
dc.citation.volume109
dc.contributor.authorMarković, Dragan
dc.contributor.authorČubrović, Mihailo
dc.date.accessioned2024-06-10T13:12:09Z
dc.date.available2024-06-10T13:12:09Z
dc.date.issued2024-03-28
dc.description.abstractWe study chaotic dynamics and anomalous transport in a Bose-Hubbard chain in the semiclassical regime (the limit when the number of particles goes to infinity). We find that the system has mixed phase space with both regular and chaotic dynamics, even for long chains with up to 100 wells. The consequence of the mixed phase space is strongly anomalous diffusion in the space of occupation numbers, with a discrete set of transport exponents. After very long times the system crosses over to the hydrodynamic regime with normal diffusion. Anomalous transport is quite universal and almost completely independent of the parameters of the model (Coulomb interaction and chemical potential): It is mainly determined by the initial distribution of particles along the chain. We corroborate our findings by analytical arguments: scaling analysis for the anomalous regime and the Langevin equation for the normal diffusion regime.
dc.identifier.doi10.1103/physreve.109.034213
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.scopus2-s2.0-85188916895
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/58
dc.identifier.wos001195998000001
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPhysical Review E
dc.relation.ispartofabbrPhys. Rev. E
dc.rightsrestrictedAccess
dc.titleChaos and anomalous transport in a semiclassical Bose-Hubbard chain
dc.typeArticle
dc.type.versionpublishedVersion
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