Doorway states and the Bose-Hubbard model
arXiv:cond-mat/0510120 · doi:10.1016/j.nuclphysa.2007.03.118
Abstract
We introduce an efficient method to solve the Mott-Hubbard model. The Schrödinger equation is solved by the successive construction of doorway states. The ground state wavefunction derived by this method contains all relevant many-body correlations introduced by the hamiltonian, but the dimensionality of the Hilbert space is greatly reduced. We apply the doorway method to obtain the chemical potential, the on-site fluctuations and the visibility of the interference pattern arising from atoms in a one-dimensional periodic lattice. Excellent agreement with exact numerical calculations as well as recent experimental observations is found.
4 figures
References in corpus (8)
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Mott Domains of Bosons Confined on Optical Lattices
- Phase coherence of an atomic Mott insulator
- Interference pattern and visibility of a Mott insulator
- Commensurate-incommensurate transition of cold atoms in an optical lattice
- Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model
- 1D Bose Gases in an Optical Lattice
- Two-component Bose gas in an optical lattice at single-particle filling