Doorway states and the Bose-Hubbard model

Details Doorway states and the Bose-Hubbard model Doorway states and the Bose-Hubbard model

2005-10-05

arxiv.org/abs/cond-mat/0510120v3

Shortened version published in Nuclear Physics A, Volume 790, Issues 1-4, 15 June 2007, Pages 780c-783c

Physics

Condensed Matter

Other Condensed Matter

4 figures

Scientific paper

10.1016/j.nuclphysa.2007.03.118

We introduce an efficient method to solve the Mott-Hubbard model. The Schr\"{o}dinger 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.

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