Fig. 4: Coexistence of spectral localization and dynamical delocalization in lattices with dissipative disorder.
From: Coexistence of dynamical delocalization and spectral localization through stochastic dissipation
a, Average centred intensity distribution at time step m = 110 and lattice position n. The experimental data clearly demonstrate the exponential localization induced by stochastic dissipation. The experimental data are based on 40 different lattices with dissipative disorder. b, Time evolution of the mean value of the second moment M2(m). For a large number of disorder realizations, the numerical data converge to the shown line for stochastic dissipation. The grey area shows ±1 s.d. of expected statistical fluctuations, which arise from using only 40 disorder realizations instead of a much larger set. Ballistic and diffusive spreading are shown for comparison. The experimental and numerical data are obtained for the case of a fixed disorder strength Wγ = 0.19; the dependency of s on W can be found in Fig. 2b.
