The Inhomogeneous Extended Bose-Hubbard Model: A Mean-Field Theory
arXiv:1201.6451 · doi: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
Dedicated to Professor Ulrich Eckern on the occasion of his 60th birthday
References in corpus (9)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Imaging the Mott Insulator Shells using Atomic Clock Shifts
- Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
- Formation of spatial shell structures in the superfluid to Mott insulator transition
- Density wave and supersolid phases of correlated bosons in an optical lattice
- Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory
- Superfluid and Mott Insulating shells of bosons in harmonically confined optical lattices
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- Multifractality and Hyperuniformity in Quasicrystalline Bose-Hubbard Models with and without Disorder
- Supersolid phases of dipolar fermions in a two-dimensional-lattice bilayer array
- Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
- Spin-1 Bose Hubbard model with nearest neighbour extended interaction
- Mean-field theory for confinement transitions and magnetization plateaux in spin ice
- Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
- Finite temperature mean-field theory with intrinsic non-hermitian structures for Bose gases in optical lattices
- Extended Bose-Hubbard Model on Small Grids: Exact Diagonalization and Monte Carlo Studies