Fractional quantum Hall states in the vicinity of Mott plateaus

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dc.citation.epage053628-6en_US
dc.citation.issueNumber5en_US
dc.citation.spage053628-1en_US
dc.citation.volumeNumber81en_US
dc.contributor.authorUmucalIlar, R. O.en_US
dc.contributor.authorMueller, E. J.en_US
dc.date.accessioned2016-02-08T09:58:35Z
dc.date.available2016-02-08T09:58:35Z
dc.date.issued2010en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractWe perform variational Monte Carlo calculations to show that bosons in a rotating optical lattice will form analogs of fractional quantum Hall states when the tunneling is sufficiently weak compared to the interactions, and the deviation of density from an integer is commensurate with the effective magnetic field. We compare the energies of superfluid and correlated states to one another and to the energies found in full configuration-interaction calculations on small systems. We look at overlaps between our variational states and the exact ground state, characterizing the ways in which fractional quantum Hall effect correlations manifest themselves near the Mott insulating state. We explore the experimental signatures of these states.en_US
dc.identifier.doi10.1103/PhysRevA.81.053628en_US
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/11693/22319
dc.language.isoEnglishen_US
dc.publisherThe American Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevA.81.053628en_US
dc.source.titlePhysical Review A - Atomic, Molecular, and Optical Physicsen_US
dc.subjectConfiguration-interaction calculationsen_US
dc.subjectFractional quantum hall effectsen_US
dc.subjectFractional quantum hall stateen_US
dc.subjectMott-insulating stateen_US
dc.subjectOptical latticesen_US
dc.subjectSmall systemsen_US
dc.subjectVariational Monte Carloen_US
dc.subjectHall effecten_US
dc.subjectQuantum theoryen_US
dc.subjectMagnetic field effectsen_US
dc.titleFractional quantum Hall states in the vicinity of Mott plateausen_US
dc.typeArticleen_US
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