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

Kurdestany, Jamshid Moradi and Pai, Ramesh V and Pandit, Rahul (2012) The inhomogeneous extended Bose-Hubbard model: A mean-field theory. In: Annalen der Physik, 524 (3-4, S). pp. 234-244.

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


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 mu 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: Journal Article
Additional Information: Copyright of this article belongs to John Wiley and Sons.
Keywords: Bose-Hubbard model;superfluid phase;Mott-insulator; density-wave;supersolid
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 01 May 2012 10:22
Last Modified: 01 May 2012 10:22
URI: http://eprints.iisc.ac.in/id/eprint/44338

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