Quasiparticle Berry curvature and Chern numbers in spin-orbit coupled bosonic Mott insulators
arXiv:1307.3594 · doi:10.1103/PhysRevA.88.053631
Abstract
We study the ground-state topology and quasiparticle properties in bosonic Mott insulators with two- dimensional spin-orbit couplings in cold atomic optical lattices. We show that the many-body Chern and spin-Chern number can be expressed as an integral of the quasihole Berry curvatures over the Brillouin zone. Using a strong-coupling perturbation theory, for an experimentally feasible spin-orbit coupling, we compute the Berry curvature and the spin Chern number and find that these quantities can be generated purely by interactions. We also compute the quasiparticle dispersions, spectral weights, and the quasimomentum space distribution of particle and spin density, which can be accessed in cold-atom experiments and used to deduce the Berry curvature and Chern numbers.
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- Superfluid-Mott insulator transition in spin-orbit coupled Bose-Hubbard Model
- Measuring the topological phase transition via the single-particle density matrix
- Weyl Bogoliubov excitations in Bose-Hubbard extension of Weyl semimetal
- Entanglement of condensed magnons via momentum-space fragmentation
- Topological Fulde-Ferrell Superfluids in Triangular Lattices