Spin dynamics across the superfluid-insulator transition of spinful bosons

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dc.creatorPowell, Stephen
dc.creatorSachdev, Subir
dc.date2007-03-01
dc.date2007-03-02
dc.date.accessioned2026-07-07T12:59:53Z
dc.date.available2026-07-07T12:59:53Z
dc.descriptionBosons with non-zero spin exhibit a rich variety of superfluid and insulating phases. Most phases support coherent spin oscillations, which have been the focus of numerous recent experiments. These spin oscillations are Rabi oscillations between discrete levels deep in the insulator, while deep in the superfluid they can be oscillations in the orientation of a spinful condensate. We describe the evolution of spin oscillations across the superfluid-insulator quantum phase transition. For transitions with an order parameter carrying spin, the damping of such oscillations is determined by the scaling dimension of the composite spin operator. For transitions with a spinless order parameter and gapped spin excitations, we demonstrate that the damping is determined by an associated quantum impurity problem of a localized spin excitation interacting with the bulk critical modes. We present a renormalization group analysis of the quantum impurity problem, and discuss the relationship of our results to experiments on ultracold atoms in optical lattices.
dc.description43 pages (single-column format), 8 figures; v2: corrected discussion of fixed points in Section VI
dc.identifierhttps://arxiv.org/abs/cond-mat/0703011
dc.identifierhttp://arxiv.org/abs/cond-mat/0703011
dc.identifierPhysical Review A 76, 033612 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.033612
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225708
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Gases
dc.subjectSuperconductivity
dc.titleSpin dynamics across the superfluid-insulator transition of spinful bosons
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