# Feshbach resonance in optical lattices and the quantum Ising model.

@article{Bhaseen2009FeshbachRI,
title={Feshbach resonance in optical lattices and the quantum Ising model.},
author={M. J. Bhaseen and A. O. Silver and Martin Hohenadler and Benjamin D. Simons},
journal={Physical review letters},
year={2009},
volume={103 26},
pages={
265302
}
}
• Published 5 June 2009
• Physics
• Physical review letters
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…
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## References

SHOWING 1-10 OF 50 REFERENCES

### Principles of condensed matter physics

• Physics
• 1995
Preface 1. Overview 2. Structure and scattering 3. Thermodynamics and statistical mechanics 4. Mean-field theory 5. Field theories, critical phenomena, and the renormalization group 6. Generalized

• R. Rosenfeld
• Medicine
• 2009

### Phys

• Rev. Lett. 102, 015301 (2009); V.G. Rousseau and P. J. H. Denteneer, Phys. Rev. A 77, 013609
• 2008

### Phys

• Rev. B 40, 546
• 1989

• New J. Phys
• 2009

• Phys. Rev. A
• 2009

### Phys

• Rev. Lett. 96, 136801
• 2006

### Phys. Rev. Lett

• Phys. Rev. Lett
• 2004

### Phys

• Rev. A 68, 023604
• 2003

### Phys

• Rev. Lett. 100, 165706
• 2008