Survival Probability of a Doorway State in regular and chaotic environments

TL;DR

This paper analyzes the survival probability of a special state interacting with regular or chaotic environments modeled by random matrices, revealing non-perturbative phenomena like probability revival and non-ergodicity.

Contribution

It provides exact results for survival probability in complex environments, highlighting the effects of background and coupling complexities.

Findings

Reveals non-perturbative features such as revival of probability

Shows non-ergodic behavior in survival probability

Analyzes the influence of environment and coupling complexity

Abstract

We calculate survival probability of a special state which couples randomly to a regular or chaotic environment. The environment is modelled by a suitably chosen random matrix ensemble. The exact results exhibit non--perturbative features as revival of probability and non--ergodicity. The role of background complexity and of coupling complexity is discussed as well.