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 . In the experimentally relevant case of exponential decay , an adapted mean-field expansion for large fillings 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 (), intermediate, and fast (nonadiabatic ) sweeps, where is the chemical potential. Finally, we derive the dynamical decay of the off-diagonal long-range order as well as the temporal shrinkage of the superfluid fraction in a persistent ring-current setup.
- Received 12 May 2006
©2006 American Physical Society