Superfluid weight and polarization amplitude in the one-dimensional bosonic Hubbard model

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buir.contributor.authorHetenyi, Balazs
buir.contributor.authorTanatar, Bilal
buir.contributor.orcidTanatar, Bilal|0000-0002-5246-0119
dc.citation.epage174517-1en_US
dc.citation.issueNumber17en_US
dc.citation.spage174517-9en_US
dc.citation.volumeNumber100en_US
dc.contributor.authorHetenyi, Balazsen_US
dc.contributor.authorMartelo, L. M.en_US
dc.contributor.authorTanatar, Bilalen_US
dc.date.accessioned2020-02-07T07:33:23Z
dc.date.available2020-02-07T07:33:23Z
dc.date.issued2019
dc.departmentDepartment of Physicsen_US
dc.description.abstractWe calculate the superfluid weight and the polarization amplitude for the one-dimensional bosonic Hubbard model with focus on the strong-coupling regime via variational, exact diagonalization, and strong coupling calculations. Our variational approach is based on the Baeriswyl wave function, implemented via Monte Carlo sampling. We derive the superfluid weight appropriately in a variational setting. We emphasize the importance of implementing the Peierls phase in position space and to allow for many-body interference effects, rather than implementing the Peierls phase as single particle momentum shifts. At integer filling, the Baeriswyl wave function gives zero superfluid response at any coupling. At half filling our variational superfluid weight is in reasonable agreement with exact diagonalization results. We also calculate the polarization amplitude, the variance of the total position, and the associated size scaling exponent, which corroborate that this variational approach produces an insulating state at integer filling. Our Baeriswyl based variational method is applicable to significantly larger system sizes than exact diagonalization or quantum Monte Carlo.en_US
dc.description.provenanceSubmitted by Zeynep Aykut (zeynepay@bilkent.edu.tr) on 2020-02-07T07:33:23Z No. of bitstreams: 1 Superfluid_weight_and_polarization_amplitude_in_the_one-dimensional_bosonic_Hubbard_model.pdf: 704917 bytes, checksum: f1c58bcb398bb97ca3de278b35b37fb2 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-02-07T07:33:23Z (GMT). No. of bitstreams: 1 Superfluid_weight_and_polarization_amplitude_in_the_one-dimensional_bosonic_Hubbard_model.pdf: 704917 bytes, checksum: f1c58bcb398bb97ca3de278b35b37fb2 (MD5) Previous issue date: 2019en
dc.identifier.doi10.1103/PhysRevB.100.174517en_US
dc.identifier.issn2469-9950
dc.identifier.urihttp://hdl.handle.net/11693/53156
dc.language.isoEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttps://dx.doi.org/10.1103/PhysRevB.100.174517en_US
dc.source.titlePhysical Review Ben_US
dc.subjectSuperfluid densityen_US
dc.subjectSuperfluidityen_US
dc.subjectMott insulatorsen_US
dc.subjectSupersolidsen_US
dc.subjectHubbard modelen_US
dc.subjectQuantum fluids & solidsen_US
dc.titleSuperfluid weight and polarization amplitude in the one-dimensional bosonic Hubbard modelen_US
dc.typeArticleen_US

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