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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 98, Number 2, Pages 289–296 (Mi tmf1978)  
Exactly solvable boson model with cubic nonlinearity

A. B. Gordiets, W. Chmielowski

Joint Institute for Nuclear Research
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Abstract: The model of phase matched parametric amplifier, Hamiltonian of which has a cubic nonlinearity with respect to the Bose-field, is assumed. Exact operator solution is obtained. Evolution of the photon intensity and the corresponding variance is examined Conditions, defining the sub-Poissonian charachter of the number destribution and the squeezing of quantum fluctuations of modequadraturs, are obtained.
Received: 17.03.1992
English version:
Theoretical and Mathematical Physics, 1994, Volume 98, Issue 2, Pages 197–201
DOI: https://doi.org/10.1007/BF01015797
Bibliographic databases:
Language: Russian
Citation: A. B. Gordiets, W. Chmielowski, “Exactly solvable boson model with cubic nonlinearity”, TMF, 98:2 (1994), 289–296; Theoret. and Math. Phys., 98:2 (1994), 197–201
Citation in format AMSBIB
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\by A.~B.~Gordiets, W.~Chmielowski
\paper Exactly solvable boson model with cubic nonlinearity
\jour TMF
\yr 1994
\vol 98
\issue 2
\pages 289--296
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1291380}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 98
\issue 2
\pages 197--201
\crossref{https://doi.org/10.1007/BF01015797}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PA59100009}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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