Large Fluctuations of Radiation in Stochastically Activated Two-Level Systems
Statistical Mechanics
2017-10-26 v2 Probability
Abstract
We study the large fluctuations of emitted radiations in the system of non-interacting two-level atoms. Two methods are used to calculate the probability of the large fluctuations and the time dependence of the excitation and emission. The first method is based on the large deviation principle for Markov processes. The second one uses an analogue of the quantum formalism for classical probability problems. Particularly we prove that in a large fluctuation limit approximately a half of the atoms are excited. This fact is independent on the fraction of the excited atoms in the stationary state.
Keywords
Cite
@article{arxiv.1702.05475,
title = {Large Fluctuations of Radiation in Stochastically Activated Two-Level Systems},
author = {E. Pechersky and S. Pirogov and G. M. Schütz and A. Vladimirov and A. Yambartsev},
journal= {arXiv preprint arXiv:1702.05475},
year = {2017}
}
Comments
22 pages, no figures