Momentum distribution of the insulating phases of the extended Bose-Hubbard model

Abstract

We develop two methods to calculate the momentum distribution of the insulating (Mott and charge-density-wave) phases of the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on $d$-dimensional hypercubic lattices. First we construct the random phase approximation result, which corresponds to the exact solution for the infinite-dimensional limit. Then we perform a power-series expansion in the hopping $t$ via strong-coupling perturbation theory, to evaluate the momentum distribution in two and three dimensions; we also use the strong-coupling theory to verify the random phase approximation solution in infinite dimensions. Finally, we briefly discuss possible implications of our results in the context of ultracold dipolar Bose gases with dipole-dipole interactions loaded into optical lattices.

10 pages and 3 figures, to be submitted to PRA

References in corpus (12)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• A High Phase-Space-Density Gas of Polar Molecules
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Ultracold dense gas of deeply bound heteronuclear molecules
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
• Expansion of a quantum gas released from an optical lattice
• Density wave and supersolid phases of correlated bosons in an optical lattice
• Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
• Spectral weight redistribution in strongly correlated bosons in optical lattices
• Bose-Hubbard phase diagram with arbitrary integer filling
• The Mott insulator phase of the one dimensional Bose-Hubbard model: a high order perturbative study

Cited by in corpus (14)

• Ultracold bosons with short-range interaction in regular optical lattices
• Route to supersolidity for the extended Bose-Hubbard model
• Phase diagram of the hardcore Bose-Hubbard model on a checkerboard superlattice
• Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
• Quantum Phases of Bose-Hubbard Model in Optical Superlattices
• Strong-coupling expansion for the two-species Bose-Hubbard model
• Momentum-space atom correlations in a Mott insulator
• Artificial gauge fields for the Bose-Hubbard model on a checkerboard superlattice and extended Bose-Hubbard model
• Density Wave -Supersolid and Mott Insulator-Superfluid transition in presence of an artificial gauge field : a strong coupling perturbation approach
• Interference dynamics of matter-waves of SU($N$) fermions
• Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model
• Generalized effective-potential Landau theory for a tunable state-dependent hexagonal optical lattice
• Time-of-flight images of Mott insulators in the Hofstadter-Bose-Hubbard model
• Excitation spectrum and momentum distribution of the ionic Bose-Hubbard model