Spin dynamics across the superfluid-insulator transition of spinful bosons

Abstract

Bosons 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.

arXiv comment43 pages (single-column format), 8 figures; v2: corrected discussion of fixed points in Section VI

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Cited by in corpus (7)

• Ultracold bosons with short-range interaction in regular optical lattices
• A geometrical approach to the dynamics of spinor condensates II: Collective modes
• A geometrical approach to the dynamics of spinor condensates I: Hydrodynamics
• Spectral function of a localized fermion coupled to the Wilson-Fisher conformal field theory
• Magnetic phases and transitions of the two-species Bose-Hubbard model
• Mobile impurity near the superfluid-Mott insulator quantum critical point in two dimensions
• Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension