Quantum Chaos and Coherence: Random Parametric Quantum Channels

The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay between quantum chaos and decoherence away from the semi-classical limit, we investigate the relation of this generalized SFF with the corresponding l1-norm of coherence. As a working Channels (PQC), a discrete-time model of unitary evolution mixed with the effects of measurements or transient interactions with an ennamics arises as a specific case in the Markovian limit. We demonstrate our results in a series of random matrix models.