STUDY ON THE PHOTON STATISTICS USING POISSON'S COMPOUND DISTRIBUTION AND QUADRATURE MEASUREMENTS
Yu. I. Bogdanov1,2,3, N. A. Bogdanova1,3, K. G. Katamadze1,4, G. V. Avosopyants1,3, V. F. Lukichev1
1Physics and Technology Institute, Russian Academy of Sciences, 117218, Moscow, Nakhimovskii Prospekt, 36/1
2National Research Nuclear University “MEPhI”, 115409, Moscow, Kashirskoye Shosse, 31
3National Research University of Electronic Technology, 124498, Moscow, Zelenograd, pl. Shokina, 1
4Lomonosov Moscow State University, 119991, Moscow, Leninskiye Gory, 1
Keywords: квадратурные квантовые измерения, гомодинное детектирование, компаунд-распределение Пуассона, производящие функции, статистика фотонов, тепловые состояния, условные распределения, отвечающие отщеплению фотонов, quadrature quantum measurements, homodyne detection, Poisson’s compound distribution, generating functions, photon statistics, thermal states, conditional distributions corresponding to photon elimination
Abstract
This paper describes the model of Poisson's composite compound distribution for photon statistics with regard to their grouping in the Fock, thermal, and many other states. The method of generating functions is used to calculate the distribution of probabilities, moments, and correlation functions. The parameters of the conditional states arising from the subtraction of photons by splitting the beam are determined. The problem of state reconstruction through quadrature quantum measurements is considered. The research is aimed at developing high-precision methods for generating and controlling optical quantum states.
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