A Classical-Quantum Correspondence and Backreaction

TL;DR

This paper demonstrates a classical-quantum correspondence in the Heisenberg picture, enabling simpler analysis of quantum backreaction effects by relating quantum variables to complexified classical variables, validated through a toy model.

Contribution

It introduces a classical-quantum correspondence framework that simplifies quantum backreaction analysis and shows excellent agreement with full quantum calculations.

Findings

CQC accurately reproduces quantum backreaction dynamics

The method simplifies complex quantum calculations

Validated with a toy model of a particle slowing down due to quantum radiation

Abstract

We work in the Heisenberg picture to demonstrate the classical-quantum correspondence (CQC) in which the dynamics of a quantum variable is equivalent to that of a complexified classical variable. The correspondence provides a tool for analyzing quantum backreaction problems which we illustrate by a toy model in which a rolling particle slows down due to quantum radiation. The dynamics found using the CQC is in excellent agreement with that found using the much more laborious full quantum analysis.