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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2020, Volume 111, Issue 10, Pages 646–652
DOI: https://doi.org/10.31857/S123456782010002X (Mi jetpl6170) 		 
PLASMA, HYDRO- AND GAS DYNAMICS

Hyper-Poisson photon statistics

Yu. I. Bogdanova, N. A. Bogdanovaa, K. G. Katamadzeab, G. V. Avosopyantsb, V. F. Lukicheva

a Valiev Institute of Physics and Technology, Russian Academy of Sciences, Moscow, 117218 Russia
b Quantum Technology Centre, Faculty of Physics, Moscow State University, Moscow, 119991 Russia
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DOI: https://doi.org/10.31857/S123456782010002X
Abstract: The statistical distribution for the number of bosons in a specified subsystem of a finite-dimensional multilevel system is obtained and investigated under conditions for which the total number of particles is a random variable characterized by the Poisson distribution. The resulting hyper-Poisson distribution is determined by the confluent hypergeometric function and contains as its particular limiting cases the Poisson distribution, as well as the single-mode and multimode thermal distributions. The developed model can be efficiently used to describe the thermal characteristics of bounded quantum systems, as well as in the problems of statistical reconstruction of optical quantum states, processes, and detectors.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0066-2019-0005
Russian Foundation for Basic Research 20-32-70153
19-32-90212
Foundation for the Development of Theoretical Physics and Mathematics BASIS 17-13-334-1
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (state assignment to the Valiev Institute of Physics and Technology, Russian Academy of Sciences, theme no. 0066-2019-0005), by the Russian Foundation for Basic Research (project nos. 20-32-70153 and 19-32-90212), and by the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS (project no. 17-13-334-1).
Received: 13.04.2020
Revised: 16.04.2020
Accepted: 16.04.2020
English version:
Journal of Experimental and Theoretical Physics Letters, 2020, Volume 111, Issue 10, Pages 543–548
DOI: https://doi.org/10.1134/S0021364020100069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. I. Bogdanov, N. A. Bogdanova, K. G. Katamadze, G. V. Avosopyants, V. F. Lukichev, “Hyper-Poisson photon statistics”, Pis'ma v Zh. Èksper. Teoret. Fiz., 111:10 (2020), 646–652; JETP Letters, 111:10 (2020), 543–548
Citation in format AMSBIB
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