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Izvestiya of Saratov University. Physics, 2010, Volume 10, Issue 1, Pages 36–39
DOI: https://doi.org/10.18500/1817-3020-2010-10-1-36-39 (Mi isuph72) 		 
Physics

Coherent states and mode dynamics in Kerr nonlinear medium

A. S. Barsov, A. V. Gorokhov

Samara State University
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DOI: https://doi.org/10.18500/1817-3020-2010-10-1-36-39
Abstract: Dynamics of three photonic modes in the theory of parametric amplifier in the medium, taking into account the Kerr nonlinearity, can be studied using the dynamical group WSp (6, R). For a degenerate parametric amplification with classical pump the description is reduced to the dynamics of coherent states of SU(1,1) group. The time dependence of average numbers of photons and squeezing are calculated. It is shown that the «switching-on» of the Kerr nonlinearity leads to suppression of the parametric amplification.
Keywords: coherent states, Kerr effect, parametric amplification, squeezing.
Document Type: Article
UDC: УДК 535.14; 538.56
Language: Russian
Citation: A. S. Barsov, A. V. Gorokhov, “Coherent states and mode dynamics in Kerr nonlinear medium”, Izv. Sarat. Univ. Physics, 10:1 (2010), 36–39
Citation in format AMSBIB
\Bibitem{BarGor10}
\by A.~S.~Barsov, A.~V.~Gorokhov
\paper Coherent states and mode dynamics in Kerr nonlinear medium
\jour Izv. Sarat. Univ. Physics
\yr 2010
\vol 10
\issue 1
\pages 36--39
\mathnet{http://mi.mathnet.ru/isuph72}
\crossref{https://doi.org/10.18500/1817-3020-2010-10-1-36-39}
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