Quantum transfer operators and chaotic scattering

TL;DR

This paper explores quantum analogues of transfer operators, which are tools used to analyze long-term behavior in chaotic systems, highlighting their relevance to both theoretical models and real-world continuous systems.

Contribution

It introduces quantum transfer operators and discusses their application to physical continuous time chaotic systems, bridging a gap between toy models and real-world dynamics.

Findings

Quantum transfer operators serve as effective models for chaotic scattering.

These operators provide insights into the long-term behavior of quantum chaotic systems.

The approach links theoretical models with physical continuous systems.

Abstract

Transfer operators have been used widely to study the long time properties of chaotic maps or flows. We describe quantum analogues of these operators, which have been used as toy models by the quantum chaos community, but are also relevant to study "physical" continuous time systems.