Frustrated Quantum Ising Spins Simulated by Spinless Bosons in a Tilted Lattice: From a Quantum Liquid to Antiferromagnetic Order

@inproceedings{Pielawa2012FrustratedQI,
  title={Frustrated Quantum Ising Spins Simulated by Spinless Bosons in a Tilted Lattice: From a Quantum Liquid to Antiferromagnetic Order},
  author={Susanne Pielawa and Erez Berg and Subir Sachdev},
  year={2012}
}
We study spinless bosons in a decorated square lattice with a near-diagonal tilt. The resonant subspace of the tilted Mott insulator is described by an effective Hamiltonian of frustrated quantum Ising spins on a non-bipartite lattice. This generalizes an earlier proposal for the unfrustrated quantum Ising model in one dimension which was realized in a recent experiment on ultracold $^{87}$Rb atoms in an optical lattice. Very close to diagonal tilt, we find a quantum liquid state which is… CONTINUE READING
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