Large Fluctuations of Radiation in Stochastically Activated Two-Level Systems

Abstract

We study the large fluctuations of emitted radiations in the system of $N$ 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.

22 pages, no figures

References in corpus (2)

• Measurement of Stochastic Entropy Production
• Large deviations for Markov jump processes with mean-field interaction via the comparison principle for an associated Hamilton-Jacobi equation

Cited by in corpus (1)

• Large Fluctuations in two-level systems with stimulated emission