Strong-coupling perturbation theory for the extended Bose-Hubbard model

Abstract

We develop a strong-coupling perturbation theory for the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on ($d>1$)-dimensional hypercubic lattices. Analytical expressions for the ground-state phase boundaries between the incompressible (Mott or charge-density-wave insulators) and the compressible (superfluid or supersolid) phases are derived up to third order in the hopping $t$. We also briefly discuss possible implications of our results in the context of ultracold dipolar Bose gases with dipole-dipole interactions loaded into optical lattices.

9 pages, 3 figures and 1 table, to be submitted for PRA

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Cited by in corpus (30)

• Ultracold bosons with short-range interaction in regular optical lattices
• Route to supersolidity for the extended Bose-Hubbard model
• Supersolidity of cold-atom Bose-Fermi mixtures in optical lattices
• Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
• Phase diagram of the hardcore Bose-Hubbard model on a checkerboard superlattice
• Quantum Phases of Bose-Hubbard Model in Optical Superlattices
• Supersolidity of lattice Bosons immersed in strongly correlated Rydberg dressed atoms
• Strong-coupling expansion for the two-species Bose-Hubbard model
• Quench dynamics of Rydberg-dressed bosons on two-dimensional square lattices
• Variational Polaron Method for Bose-Bose Mixtures
• Momentum distribution of the insulating phases of the extended Bose-Hubbard model
• Segregated quantum phases of dipolar bosonic mixtures in two-dimensional optical lattices
• Gutzwiller study of extended Hubbard models with fixed boson densities
• Global phase diagram of three-dimensional extended Boson Hubbard model - a continuous time Quantum Monte Carlo study
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Quantum phases of dipolar bosons in multilayer optical lattice
• Density Wave -Supersolid and Mott Insulator-Superfluid transition in presence of an artificial gauge field : a strong coupling perturbation approach
• Two-state Bose-Hubbard model in the hard-core boson limit
• Extended Bose-Hubbard models with Rydberg macrodimer dressing
• Spin-1 Bose Hubbard model with nearest neighbour extended interaction
• Quasi-particle propagation across semiconductor-Mott insulator interfaces
• Particle-hole bound states of dipolar molecules in optical lattice
• Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
• Bound States at Semiconductor -- Mott Insulator Interfaces
• Strong-coupling study of spin-1 bosons in square and triangular optical lattice
• Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model
• Generalized effective-potential Landau theory for a tunable state-dependent hexagonal optical lattice
• Extended Bose-Hubbard Model on Small Grids: Exact Diagonalization and Monte Carlo Studies
• Coherent pair injection as a route towards the enhancement of supersolid order in many-body bosonic models