Transport of dipolar excitons in disordered systems

Electron Dynamics in Dendrimers

“…Using DEVO to compute the wavefunction at each time step enables the evaluation of electron probability density on each node in the dendrimer, as well as the total density on each generation. In order to investigate possible wavefunction localization, we have calculated the inverse participation ratio. , …”

“…The DEVO algorithm decomposes the Hamiltonian (eq 1) in a way that facilitates construction of the propagator for the associated time-dependent Schrödinger equation. DEVO is a simple extension of the checkerboard algorithm, , where the Hamiltonian is shredded into pairs of interactions and the full propagator  = exp [− i Ĥ ( t )·δ t ] is evaluated using split operator techniques. As in other studies, , this algorithm specifically exploits the topology of the dendrimer.…”

Logarithmic, noise-induced dynamics in the Anderson insulator

“…Anderson localization is known to be stable under spatially local but quasiperiodic in time perturbations in any dimension [20], and to survive global periodic driving in one dimension [27,29]. In contrast, it is unstable to global noise, which is known to induce delocalization [22,23,26,28,[30][31][32][33][34], and a transient subdiffusive transport, which eventually crosses over to regular diffusion [26,34]. Global noise was also shown to lead to prethermal energy plateaus at intermediate time scales, followed by exponential relaxation at longer time scales [28].…”