Exotic phases of interacting p-band bosons

Abstract

We study a model of interacting bosons that occupy the first excited p-band states of a two-dimensional optical lattice. In contrast to the much studied single band Bose-Hubbard Hamiltonian, this more complex model allows for non-trivial superfluid phases associated with condensation at non-zero momentum and staggered order of the orbital angular momentum in addition to the superfluid-Mott insulator transition. More specifically, we observe staggered orbital angular momentum order in the Mott phase at commensurate filling and superfluidity at all densities. We also observe a transition between the staggered angular momentum superfluid phase and a striped superfluid, with an alternation of the phase of the superfluid along one direction. The transition between these two phases was observed in a recent experiment, which is then qualitatively well described by our model.

8 pages, 12 figures

References in corpus (5)

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Cited by in corpus (17)

• Physics of higher orbital bands in optical lattices: a review
• Observing Chiral Superfluid Order by Matter-Wave Interference
• Orbital optical lattices with bosons
• Shaken not stirred: Creating exotic angular momentum states by shaking an optical lattice
• Formation and detection of a chiral orbital Bose liquid in an optical lattice
• Quantum diffusion and thermalization at resonant tunneling
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons
• High-order Time-Reversal Symmetry Breaking Normal State
• Selective population of a large-angular-momentum state in an optical lattice
• Spin-Induced Orbital Frustration in a Hexagonal Optical Lattice
• Tricriticality in Crossed Ising Chains
• Unconventional Bose-Einstein Condensation in a System of Two-species Bosons in the $p$-orbital Bands of a Bipartite Lattice
• Bose-Hubbard model with occupation-parity couplings
• Chaotic level mixing in a two-band Bose-Hubbard model
• Phase diagram of strongly attractive $p$-orbital fermions on optical lattices