Frustration effects in rapidly rotating square and triangular optical lattices
arXiv:1005.4787 · doi:10.1103/PhysRevA.79.063629
Abstract
We discuss the ground state of the two-dimensional Bose-Hubbard (BH) Hamiltonian, relevant for rotating gaseous Bose-Einstein condensates, by employing \mathrm{U}\left(1\right) quantum rotor approach and the topologically constrained path integral that includes a summation over \mathrm{U}\left(1\right) topological charge. We derive an effective quantum action for the BH model, which enables a non-perturbative treatment of the zero-temperature phase transition. We calculate the ground-state phase diagram, analytically deriving maximum repulsive energy for several rational values of the frustration rotation parameter f=0, 1/2, 1/3, 1/4, and 1/6 for the square and triangular lattice, which improves upon previous theoretical treatments. The ground state of the rotating Bose-Einstein condensates on a triangular lattice appears to be most stable against the effects of rotation. Performed calculations revealed strong dependence of the critical ratio of the kinetic energy to the repulsive on-site energy, that separates the global coherent from the insulating state, on topology of the lattice.
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- Synthetic magnetic field effects on neutral bosonic condensates in quasi three-dimensional anisotropic layered structures
- Magnetic flux disorder and superconductor-insulator transition in nanohole thin films
- Finite-temperature phase structures of hard-core bosons in an optical lattice with an effective magnetic field
- Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice
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- Sign reversal of the boson-boson interaction potential in planar Bose-Fermi mixtures under a synthetic magnetic field
- Finite-temperature quantum rotor approach for ultracold bosons in optical lattices