Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol'd Cat

TL;DR

This paper investigates how dynamical entropies scale in a collision-induced decoherence model within a chaotic quantum system, aiming to clarify the nature and significance of quantum chaos through a detailed, approximation-free analysis.

Contribution

It introduces a fully canonical, detailed model of collision-induced decoherence in a chaotic system without approximations, contributing to the understanding of quantum chaos.

Findings

Analysis of classical and quantum dynamical entropy scaling.

Clarification of the role of decoherence in quantum chaos.

Insights into the debate on the nature of quantum chaos.

Abstract

I study the scaling behavior in the physical parameters of dynamical entropies, classical and quantum, in a specifically devised model of collision-induced decoherence in a chaotic system. The treatment is fully canonical and no approximations are involved or infinite limits taken. I present this model in a detailed way, in order to clarify my views in the debate about the nature, definition, and relevance of quantum chaos.