Correlated phases of bosons in tilted, frustrated lattices
arXiv:1101.2897 · doi:10.1103/PhysRevB.83.205135
Abstract
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.
30 pages, 16 figures. (v2) Noted significance of 3-body interactions, and found new phases when 3-body terms are small. (v3) published version
References in corpus (14)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Quench dynamics across quantum critical points
- Competing density-wave orders in a one-dimensional hard-boson model
- Bose condensation in flat bands
- Mott insulators in strong electric fields
- Cold atom simulation of interacting relativistic quantum field theories
- On bipartite Rokhsar-Kivelson points and Cantor deconfinement
- Competing orders II: the doped quantum dimer model
- Effective spin model for interband transport in a Wannier-Stark lattice system
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- Many-body localized phase of bosonic dipoles in a tilted optical lattice
- Order by disorder in frustration-free systems: a Quantum Monte Carlo study of a two-dimensional PXP model
- Strongly Interacting Two-component Coupled Bose Gas in Optical Lattices
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