Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-01-14
Phys. Rev. B 83, 205135 (2011)
Physics
Condensed Matter
Quantum Gases
30 pages, 16 figures. (v2) Noted significance of 3-body interactions, and found new phases when 3-body terms are small. (v3) p
Scientific paper
10.1103/PhysRevB.83.205135
We study the `tilting' of Mott insulators of bosons into metastable states. These are described by Hamiltonians acting on resonant subspaces, and have rich possibilities for correlated phases with non-trivial entanglement of pseudospin degrees of freedom encoded in the boson density. We extend a previous study (arXiv:cond-mat/0205169) of cubic lattices to a variety of lattices and tilt directions in 2 dimensions: square, decorated square, triangular, and kagome. For certain configurations three-body interactions are necessary to ensure that the energy of the effective resonant subspace is bounded from below. We find quantum phases with Ising density wave order, with superfluidity transverse to the tilt direction, and a quantum liquid state with no broken symmetry. The existence of the quantum liquids state is shown by an exact solution for a particular correlated boson model. We also find cases for which the resonant subspace is described by effective quantum dimer models.
Berg Erez
Kitagawa Takuya
Pielawa Susanne
Sachdev Subir
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