Figure 1
From: Thermalization of strongly interacting bosons after spontaneous emissions in optical lattices
Example of heating and relaxation dynamics. We consider a system with 
particles on 
sites and 
that is initially in its ground state and subjected to heating with different scattering rates 
for a short time of 
, as sketched in panel (a). (b) Depending on this leads to an increase in energy. (c) Evolution of the quasi-momentum distribution 
during the heating period (
). The tails are lifted due to the localization of particles. (d) Relaxation dynamics of after the heating is switched off. The system relaxes to a broadened distribution at 
(t-DMRG results, bond-dimension, 
quantum trajectories). (e/f) Relaxation of a large q component of the quasi-momentum distribution after a single spontaneous emission on an arbitrary site (we consider a weighted ensemble average of jumps on the different sites). The dashed horizontal line indicates the equilibrium value (Monte-Carlo calculation). Thermalization only occurs in the superfluid regime (e), and not in the Mott insulating regime (f) [t-DMRG results, bond-dimension, 
for (e), (f)].