Abstract
The method of stochastic recurrent relation is used for simulating a random sequence (trajectory) of the counts of a detector of atomic states at the output of a single-atom micromaser. A random sequence of the relative frequencies of counts of a detector during a fixed time interval is calculated. The frequencies of counts vary randomly near the average time-independent level. It is assumed that these average levels are reproducible observables for each random trajectory. A micromaser can jumpwise transfer from one average level of the relative frequencies of counts to another. It is assumed that a certain subensemble of the states of a field mode corresponds to each measured average level of the frequencies of counts. A method is proposed for calculating possible average relative frequencies of counts and corresponding (mean) reduced density matrices of the mode ρst. The matrix ρst characterizes a micromaser during its development along a specified periodic trajectory. It is found by solving the eigenvalue problem for the evolution operator on the period. An analytic method for solving this problem is developed. The matrix ρ st is the solution to the inverse problem of the reconstruction of the statistics of a field mode from the statistics of a random trajectory. The procedure of selecting the parameters of the evolution operator on the period is discussed through a numerical example.
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 5, 2002, pp. 965–977.
Original Russian Text Copyright © 2002 by Miroshnichenko.
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Miroshnichenko, G.P. Model of a periodic sequence (trajectory) of the results of measurements of atomic states at a micromaser output. J. Exp. Theor. Phys. 95, 833–843 (2002). https://doi.org/10.1134/1.1528674
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DOI: https://doi.org/10.1134/1.1528674