Out-of-Equilibrium Dynamics of the Bose-Hubbard Model
Figure 19
Slow dynamics after a quench in a trap. (a) Density of particles in the trap as a function of radius—the initial superfluid state is indicated with a solid line, and the final density profile with a dashed line, which differs strongly from the equilibrium configuration (dots). (b) as a function of radius after the quench—for large values of there are no particles, and the points represent . (c) Density plot of the time-dependent coherences shows the growing Mott insulating regions that separate the brighter superfluid regions [94]. Adapted figure with permission from S. S. Natu, K. R. A. Hazzard, and E. J. Mueller, Phys. Rev. Lett. 106, 125301 (2011). Copyright 2011 by the American Physical Society.