Quantum Dissipation due to the Interaction with Chaos

TL;DR

This paper explores how quantum systems can experience dissipation through interaction with chaotic environments, highlighting conditions for dissipation and comparing with random matrix models, with a focus on non-universal relaxation behaviors.

Contribution

It defines conditions for quantum dissipation via chaos, compares chaotic and random matrix environments, and examines non-universal relaxation in a specific spin-oscillator model.

Findings

Chaotic environments can induce quantum dissipation under certain conditions.

Relaxation processes can be non-universal and depend on underlying semiclassical dynamics.

Comparison shows differences between chaos-induced dissipation and random matrix models.

Abstract

We discuss the possibility of having "quantum dissipation" due to the interaction with chaotic degrees of freedom. We define the conditions that should be satisfied in order to have a dissipative effect similar to the one due to an interaction with a (many body) bath. We also compare with the case where the environment is modeled by a random matrix model. In case of interaction with "chaos" we observe a regime where the relaxation process is non-universal, and reflects the underlaying semiclassical dynamics. As an example we consider a two level system (spin) that interacts with a two dimensional anharmonic oscillator.