Figure 2
(a) Spectral weight (red line) w↑(E↑) of the ↑ bosons as a function of the final state’s energy E↑ after the excitation pulse for a lattice of (L/a)3 = 403 sites, W = 17J and excitation beam waist w0 = 4a. We simulated N = 3200 atoms with typical interaction strengths U↑↓ = U↓↓ = 2J, excitation frequency ω ≈ 8J/ħ. The grey area indicates the smoothed density of states of the ↑ bosons in the self-consistent disorder potential that combines the static external disorder and the repulsion of the ↓ background. Inset: same spectral peak on a smaller scale. (b,c) Projected images of a metallic (W = 10J) and a localized (W = 28J) final state. The excitation beam has vertical direction in both cases. (d) Projected image of a single, slightly localized state (W = 17J), excited by two crossed laser beams. All figures show images of size 40a × 40a.
