Strong-coupling expansion for the two-species Bose-Hubbard model
arXiv:1001.0021 · doi:10.1103/PhysRevA.82.033630
Abstract
To analyze the ground-state phase diagram of Bose-Bose mixtures loaded into -dimensional hypercubic optical lattices, we perform a strong-coupling power-series expansion in the kinetic energy term (plus a scaling analysis) for the two-species Bose-Hubbard model with onsite boson-boson interactions. We consider both repulsive and attractive interspecies interaction, and obtain an analytical expression for the phase boundary between the incompressible Mott insulator and the compressible superfluid phase up to third order in the hoppings. In particular, we find a re-entrant quantum phase transition from paired superfluid (superfluidity of composite bosons, i.e. Bose-Bose pairs) to Mott insulator and again to a paired superfluid in all one, two and three dimensions, when the interspecies interaction is sufficiently large and attractive. We hope that some of our results could be tested with ultracold atomic systems.
8 pages, 4 figures, and 2 tables (published version)
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- Segregated quantum phases of dipolar bosonic mixtures in two-dimensional optical lattices
- Quantum phase transitions of two-species bosons in square lattice
- Two-species hard-core bosons on the triangular lattice: A quantum Monte Carlo study
- Superfluid-Mott insulator transition in spin-orbit coupled Bose-Hubbard Model
- High-order symbolic strong-coupling expansion for the Bose-Hubbard model
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- Analysis and resolution of the ground-state degeneracy of the two-component Bose-Hubbard model
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- Mean-field theory for the Mott insulator-paired superfluid transition in the two-species Bose-Hubbard model
- Strong-coupling study of spin-1 bosons in square and triangular optical lattice
- Effects of finite temperature on the robustness of the Mott insulator phase in pseudo one-dimensional Bose-Hubbard Model
- Generalized effective-potential Landau theory for a tunable state-dependent hexagonal optical lattice
- Ground-state phase diagram of two-component interacting bosons on a two-leg ladder
- Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model