@article{ISI:000301772400025, 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 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.}, author = {Kurdestany, Jamshid Moradi and Pai, Ramesh V. and Pandit, Rahul}, doi = {10.1002/andp.201100274}, issn = {0003-3804}, journal = {ANNALEN DER PHYSIK}, month = {APR}, number = {3-4, SI}, pages = {234-244}, times-cited = {10}, title = {The inhomogeneous extended Bose-Hubbard model: A mean-field theory}, unique-id = {ISI:000301772400025}, volume = {524}, year = {2012} }