Pure-state density matrix that competently describes classical chaos

TL;DR

This paper demonstrates that in a semiclassical model, classical chaos can be effectively represented using a pure-state density matrix in the classical limit, bridging quantum and classical descriptions.

Contribution

It introduces a method to represent classical chaos with a pure-state density matrix within a semiclassical framework, offering a new perspective on quantum-classical correspondence.

Findings

Classical chaos can be modeled by pure-state density matrices in semiclassical systems.

The approach bridges quantum and classical descriptions of chaotic dynamics.

Pure-state density matrices can reproduce classical results in the classical limit.

Abstract

We work with reference to a well-known semiclassical model, in which quantum degrees of freedom interact with classical ones. We show that, in the classical limit, it is possible to represent classical results (e.g., classical chaos) by means a pure-state density matrix.