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Doorway states and the Bose-Hubbard model

A. N. Salgueiro·Chi-Yong Lin·A. F. R. de Toledo Piza·M. Weidemüller
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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.

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A. N. Salgueiro, Chi-Yong Lin, A. F. R. de Toledo Piza, M. Weidemüller. 2010-11-07. Doorway states and the Bose-Hubbard model. https://doi.org/10.1016/j.nuclphysa.2007.03.118

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