Feshbach Resonance in Optical Lattices and the Quantum Ising Model
arXiv:0906.1179 · doi:10.1103/PhysRevLett.103.265302
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.
5 pages, 4 figures
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- Discrete Symmetry Breaking Transitions Between Paired Superfluids
- Comment on "Feshbach-Einstein Condensates" by V. G. Rousseau and P. J. H. Denteneer
- Finite-momentum superfluidity and phase transitions in a p-wave resonant Bose gas
- Internal Josephson Oscillations for Distinct Momenta Bose-Einstein Condensates
- Quantum Phase Transitions in Bosonic Heteronuclear Pairing Hamiltonians
- Exotic Ising dynamics in a Bose-Hubbard model
- Particle-Localized Ground State of Atom-Molecule Bose-Einstein Condensates in a Double-Well Potential
- Magnetic Properties of the Second Mott Lobe in Pairing Hamiltonians
- Emerging (2+1)D massive graviton in graphene-like systems