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Chernoff Equivalence for Shift Operators, Generating Coherent States in Quantum Optics


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Abstract

In this paper some examples of sequences of compositions of n independent equally distributed random semigroups in the form of a shift operator generating coherent states in quantum optics have been studied. Representation of averaged coherent states in quantum optics using a procedure of averaging of random shift operators is obtained. The analytical expression for averaged value of a superposition of shift operators is presented.

About the authors

L. A. Borisov

M.V. Keldysh Institute of Applied Mathematics

Author for correspondence.
Email: leonidborisoff@gmail.com
Russian Federation, Miusskaya pl. 4, Moscow, 125047

Y. N. Orlov

M.V. Keldysh Institute of Applied Mathematics

Email: leonidborisoff@gmail.com
Russian Federation, Miusskaya pl. 4, Moscow, 125047

V. J. Sakbaev

Moscow Institute of Physics and Technology

Email: leonidborisoff@gmail.com
Russian Federation, Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700

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