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Sweeping from the superfluid to the Mott phase in the Bose-Hubbard model
Ralf Schützhold1, Michael Uhlmann, Yan Xu
1Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany. schuetz@theory.phy.tu-desden.de
Abstract:
We study the sweep through the quantum phase transition from the superfluid to the Mott state for the Bose-Hubbard model with a time-dependent tunneling rate J(t). In the experimentally relevant case of exponential decay J(t) proportional variant e -gamma t, an adapted mean-field expansion for large fillings n yields a scaling solution for the fluctuations. This enables us to analytically calculate the evolution of the number and phase variations (on-site) and correlations (off-site) for slow (gamma<
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