Wave-packet dynamics in unconventional RMT models

James Aisenberg

Wesleyan University and MPI-DS, Physics Department, Dartmouth, USA

We study the decay of a prepared state into non-flat continuum. We find that the survival probability P(t) might exhibit either exponential-like or power-law decay, depending on non-universal features of the model. Still there is a universal characteristic time t0 that does not depend on the functional form. It is only for a flat continuum that we get a robust exponential decay that is insensitive to the nature of the intra-continuum couplings. The analysis highlights the co-existence of perturbative and non-perturbative features in the local density of states, and the non-linear dependence of 1/t0 on the strength of the coupling.

Back