2009/05/07 by M. Iskin, J. K. Freericks
Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Bose–Hubbard model #Boson #Cold Atom Physics and Bose-Einstein Condensates #Dipole #Hubbard model #Momentum (technical analysis) #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physreva.80.063610
published as Phys. Rev. A 80, 063610 (2009) · 10 pages and 3 figures, to be submitted to PRA
arxiv created 2009/05/07 · openalex publication_date 2009/12/04 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.