Excited state spectra at the superfluid-insulator transition out of paired condensates

Abstract

We describe gapped single-particle and collective excitations across a superfluid to insulator quantum phase transition of particles (bosons or fermions) in a periodic potential, with an even number of particles per unit cell. We demonstrate that the dynamics is controlled by a quantum impurity problem of a localized particle interacting with the bulk critical modes. Critical exponents are determined by a renormalization group analysis. We discuss applications to spin oscillations of ultracold atoms in optical lattices, and to the electronic phases in the cuprate and related compounds.

4 pages, 1 figure; fixed reference

References in corpus (4)

• Quench dynamics across quantum critical points
• Coherent collisional spin dynamics in optical lattices
• Classifying Novel Phases of Spinor Atoms
• Dynamics of F=1 87Rb condensates at finite temperatures

Cited by in corpus (4)

• 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
• Mott phases and superfluid-insulator transition of dipolar spin-three bosons in an optical lattice: implications for Cr atoms
• Spin dynamics across the superfluid-insulator transition of spinful bosons