A Classical-Quantum Correspondence and Backreaction
High Energy Physics - Theory
2018-10-23 v2 General Relativity and Quantum Cosmology
Quantum Physics
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.
Cite
@article{arxiv.1806.05196,
title = {A Classical-Quantum Correspondence and Backreaction},
author = {Tanmay Vachaspati and George Zahariade},
journal= {arXiv preprint arXiv:1806.05196},
year = {2018}
}
Comments
8 pages, 7 figures. Published version