Quantum Langevin equation from forward--backward path integral
Quantum Physics
2016-08-15 v1 Condensed Matter
High Energy Physics - Theory
Abstract
The quantum Langevin equation is derived from the Feynman-Veron forward--backward path integral representation for a density matrix of a quantum system in a thermal oscillator bath. We exhibit the mechanism by which the classical, -valued noise in the Feynman-Vernon theory turns into an operator-valued quantum noise fulfilling characteristic commutation relation necessary for the unitarity of the time evolution in the quantum Langevin equation.
Keywords
Cite
@article{arxiv.quant-ph/9503004,
title = {Quantum Langevin equation from forward--backward path integral},
author = {H. Kleinert and S. V. Shabanov},
journal= {arXiv preprint arXiv:quant-ph/9503004},
year = {2016}
}