Feshbach Resonance in Optical Lattices and the Quantum Ising Model

M. J. Bhaseen, A. O. Silver, M. Hohenadler, and B. D. Simons
Phys. Rev. Lett. 103, 265302 – Published 30 December 2009

Abstract

Motivated by experiments on heteronuclear Feshbach resonances in Bose mixtures, we investigate s-wave pairing of two species of bosons in an optical lattice. The zero temperature phase diagram supports a rich array of superfluid and Mott phases and a network of quantum critical points. This topology reveals an underlying structure that is succinctly captured by a two-component Landau theory. Within the second Mott lobe we establish a quantum phase transition described by the paradigmatic longitudinal and transverse field Ising model. This is confirmed by exact diagonalization of the 1D bosonic Hamiltonian. We also find this transition in the homonuclear case.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 8 June 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.265302

©2009 American Physical Society

Authors & Affiliations

M. J. Bhaseen, A. O. Silver, M. Hohenadler, and B. D. Simons

  • University of Cambridge, Cavendish Laboratory, Cambridge, CB3 0HE, United Kingdom

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 103, Iss. 26 — 31 December 2009

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×