2017/02/28 by E. Pechersky, E Pechersky, S Pirogov +7
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Excited state #Formalism (music) #Limit (mathematics) #Quantum #Quantum Information and Cryptography #Quantum fluctuation #Quantum system #Radiation #Stochastic process #cond-mat.stat-mech #math.PR #msc:60F10 #msc:60J #msc:60K35 #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1751-8121/aa8dba
published as J. Phys. A: Math. Theor. 50 (2017) 455203 · 22 pages, no figures
openalex created_date 2017/04/07 · arxiv created 2017/08/07 · openalex publication_date 2017/10/16 · arxiv updated 2017/10/26 · openalex updated_date 2026/08/05
Abstract We study large fluctuations of emitted radiation in the system of N non-interacting two-level atoms. Two methods are used to calculate the probability of large fluctuations and the time dependence of 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 half of the atoms are excited. This fact is independent on the fraction of the excited atoms in equilibrium.