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

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 6, 2009, Pages

  Iskin, M ^a   Freericks, J K ^b  

^a UNIVERSITY OF MARYLAND   (United States)

^b GEORGETOWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE GAS; BOSE HUBBARD MODEL; DIPOLE DIPOLE INTERACTIONS; EXACT SOLUTION; HYPERCUBIC LATTICES; INFINITE DIMENSIONS; INSULATING PHASIS; MOMENTUM DISTRIBUTIONS; NEAREST-NEIGHBORS; OPTICAL LATTICES; POWER SERIES EXPANSIONS; RANDOM PHASE APPROXIMATIONS; STRONG-COUPLING; STRONG-COUPLING PERTURBATION THEORIES; THREE DIMENSIONS; ULTRA-COLD;

BOSONS; CRYSTAL LATTICES; PERTURBATION TECHNIQUES;

HUBBARD MODEL;

EID: 71549145963     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.063610     Document Type: Article

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35. In the case of dipolar Bose gases, we would like to remark that cutting the long-range part of the interaction is questionable only if one wants to illustrate the devil's staircase, which requires infinitesimal t, or very very large U, so large that the use of the single-band model picture becomes questionable. Also, it is hard to see how one can image the phase if it is present in a very small range of μ, which is the case for high period phases. On the other hand, as explicitly shown for the Mott phases, the nearest-neighbor interaction does essentially nothing to change the mean-field phase boundary or the RPA momentum distribution. We expect the same to be true for the CDW phase, such that inclusion of the longer-ranged interactions will not modify the phase boundary or the RPA momentum distribution much.