The inhomogeneous extended Bose-Hubbard model: a mean-field theory

Kurdestany, J. M. ; Pai, R. V. ; Pandit, R. (2012) The inhomogeneous extended Bose-Hubbard model: a mean-field theory Annalen der Physik, 524 (3-4). pp. 234-244. ISSN 0003-3804

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/andp.20...

Related URL: http://dx.doi.org/10.1002/andp.201100274

Abstract

We develop an inhomogeneous mean-field theory for the extended Bose-Hubbard model with a quadratic, confining potential. In the absence of this potential, our mean-field theory yields the phase diagram of the homogeneous extended Bose-Hubbard model. This phase diagram shows a superfluid (SF) phase and lobes of Mott-insulator (MI), density-wave (DW), and supersolid (SS) phases in the plane of the chemical potential µ and on-site repulsion U; we present phase diagrams for representative values of V, the repulsive energy for bosons on nearest-neighbor sites. We demonstrate that, when the confining potential is present, superfluid and density-wave order parameters are nonuniform; in particular, we obtain, for a few representative values of parameters, spherical shells of SF, MI, DW, and SS phases. We explore the implications of our study for experiments on cold-atom dipolar condensates in optical lattices in a confining potential.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons.
Keywords:Bose-Hubbard Model; Superfluid Phase; Mott-insulator; Density-wave; Supersolid
ID Code:99406
Deposited On:16 Jun 2016 10:12
Last Modified:16 Jun 2016 10:12

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