Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases

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dc.creatorImambekov, Adilet
dc.creatorLukin, Mikhail
dc.creatorDemler, Eugene
dc.date2003-06-08
dc.date2003-12-17
dc.date.accessioned2026-07-07T09:37:20Z
dc.date.available2026-07-07T09:37:20Z
dc.descriptionWe consider insulating phases of cold spin-1 bosonic particles with antiferromagnetic interactions, such as Na-23, in optical lattices. We show that spin-exchange interactions give rise to several distinct phases, which differ in their spin correlations. In two- and three- dimensional lattices insulating phases with odd number of particles per site are always nematic. For insulating states with even number of particles per site there is always a spin-singlet phase and there may also be a first-order transition into the nematic phase. The nematic phase breaks spin rotational symmetry, but preserves time reversal symmetry, and has gapless spin-wave excitations. The spin singlet phase does not break spin symmetry and has a gap to all excitations. In one-dimensional lattices insulating phases with odd number of particles per site always have a regime where translational symmetry is broken and the ground state is dimerized. We discuss signatures of various phases in Bragg scattering and time-of-flight measurements.
dc.description36 pages and 17 figures, revtex4
dc.identifierhttps://arxiv.org/abs/cond-mat/0306204
dc.identifierhttp://arxiv.org/abs/cond-mat/0306204
dc.identifierPhys.Rev.A 68, 063602 (2003)
dc.identifierdoi:10.1103/PhysRevA.68.063602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160426
dc.subjectSoft Condensed Matter
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Physics
dc.titleSpin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
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