A Classical-Quantum Correspondence and Backreaction

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.

8 pages, 7 figures. Published version

References in corpus (3)

• Observation of Incipient Black Holes and the Information Loss Problem
• Quantum and Classical Behavior in Interacting Bosonic Systems
• Quantum Backreaction on Classical Dynamics

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• Dynamics of scalar fields in an expanding/contracting cosmos at finite temperature
• Evolution of a kink-antikink ensemble in a quantum vacuum
• Chaos in a tunneling universe