Email this article Chernoff Equivalence for Shift Operators, Generating Coherent States in Quantum Optics
- Authors: Borisov L.A.1, Orlov Y.N.1, Sakbaev V.J.2
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Affiliations:
- M.V. Keldysh Institute of Applied Mathematics
- Moscow Institute of Physics and Technology
- Issue: Vol 39, No 6 (2018)
- Pages: 742-746
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202333
- DOI: https://doi.org/10.1134/S1995080218060033
- ID: 202333
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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
