1. Large fluctuations of radiation in stochastically activated two-level systems
- Author
-
Gunter M. Schütz, Sergey Pirogov, Eugene Pechersky, A. Vladimirov, and Anatoly Yambartsev
- Subjects
Statistics and Probability ,PROCESSOS ESTOCÁSTICOS ,FOS: Physical sciences ,General Physics and Astronomy ,Markov process ,Radiation ,01 natural sciences ,010305 fluids & plasmas ,symbols.namesake ,Quantum mechanics ,0103 physical sciences ,FOS: Mathematics ,Limit (mathematics) ,010306 general physics ,Condensed Matter - Statistical Mechanics ,Mathematical Physics ,Physics ,Statistical Mechanics (cond-mat.stat-mech) ,Stochastic process ,Probability (math.PR) ,Statistical and Nonlinear Physics ,Primary 60J, 60F10, Secondary 60K35 ,Modeling and Simulation ,Excited state ,symbols ,Rate function ,Mathematics - Probability ,Excitation ,Stationary state - 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., Comment: 22 pages, no figures
- Published
- 2017