The dynamical-quantization approach to open quantum systems
Abstract
On the basis of the dynamical-quantization approach to open quantum systems, we can derive a non-Markovian Caldeira-Leggett quantum master equation as well as a non-Markovian quantum Smoluchowski equation in phase space. On the one hand, we solve our Caldeira-Leggett equation for the case of a quantum Brownian particle in a gravitational field. On the other hand, we solve our quantum Smoluchowski equation for a harmonic oscillator. In both physical situations we come up with the existence of a non-equilibrium thermal quantum force. Further, as a physical application of our quantum Smoluchowski equation we take up the phenomenon of escape rate of a non-inertial Brownian particle over a potential barrier. Key-words: Quantum Brownian motion; Non-Markovian effects; Caldeira-Leggett quantum master equation; Quantum Smoluchowski equation; Quantum tunneling
Cite
@article{arxiv.1010.5378,
title = {The dynamical-quantization approach to open quantum systems},
author = {A. O. Bolivar},
journal= {arXiv preprint arXiv:1010.5378},
year = {2015}
}
Comments
32 pages (submitted to Physica A)