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

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.80.063610· OSTI ID:21352402

Iskin, M ^[1]; Freericks, J K ^[2]

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1. Joint Quantum Institute, National Institute of Standards and Technology and University of Maryland, Gaithersburg, Maryland 20899-8423 (United States)
2. Department of Physics, Georgetown University, Washington, DC 20057 (United States)

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.

• OSTI ID: 21352402
• Journal Information: Physical Review. A, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevA.80.063610; (c) 2009 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
BOSONS
CHARGE DENSITY
DIPOLES
DISTRIBUTION
EXACT SOLUTIONS
HUBBARD MODEL
PERTURBATION THEORY
POWER SERIES
RANDOM PHASE APPROXIMATION
STRONG-COUPLING MODEL
APPROXIMATIONS
CALCULATION METHODS
CRYSTAL MODELS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MULTIPOLES
PARTICLE MODELS
SERIES EXPANSION