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Phys. Rev. A 75, 031601(R) (2007) [4 pages]

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

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Stephen Powell
Department of Physics, Yale University, New Haven, Connecticut 06520-8120, USA

Subir Sachdev
Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

Received 4 September 2006; revised 30 October 2006; published 20 March 2007

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 are 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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.031601
DOI:
10.1103/PhysRevA.75.031601
PACS:
03.75.Kk, 05.30.−d, 71.10.−w