Dynamical Mean Field Theory of the Bose-Hubbard Model

Abstract

Quantum dynamics of the Bose-Hubbard Model is investigated through a semiclassical hamiltonian picture provided by the Time-Dependent Variational Principle method. The system is studied within a factorized slow/fast dynamics. The semiclassical requantization procedure allows one to account for the strong quantum nature of the system when $t/U\ll 1$. The phase diagram is in good agreement with Quantum Monte Carlo results and third order strong coupling perturbative expansion.

4 pages Revtex, 2 figures .eps, to be published in PRL

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