Abstract
The entropy of shifted gaussian states of multimode optical fields is derived in a closed form using the diagonalization of a quadratic form through a symplectic transformation. The chaotic states are discussed from the point of view of the maximum entropy. Some application to higher order nonlinear processes is also examined.
Similar content being viewed by others
References
Peřinová V., Křepelka J., Peřina J., Lukš A., Szłachetka P.: Optica Acta33 (1986) 15.
Schell A., Barakat R.: Physics Letters A64 (1977) 187.
Lukš A., Peřina J., Křepelka J.: Acta Physica Polonica A72 (1987) 443.
Sinickii L. A.: Methods of Analytical Mechanics in Theory of Electrical Circuits. The Lvov State University, Lvov, 1978 (in Russian).
Peřina J.: Quantum Statistics of Linear and Nonlinear Optical Phenomena. D. Reidel, Dordrecht-Boston, 1984.
Dieudonné J. A.: La Géométrie des Groupes Classiques. Springer Verlag, Berlin, 1971.
Planck M.: Verh. Deutsch. Phys. Ges. Berlin2 (1900) 237.
Rao R. C.: Linear Statistical Inference and its Applications. J. Wiley, New York, 1973.
Finkel R. W.: Phys. Rev. A35 (1987) 1486.
Sotskii B. A., Glazatchev B. I.: Opt. Spektrosk. (USSR)50 (1981) 1057.
Grosignani B., Tedeschi A.: Lett. Nuovo Cimento17 (1976) 141.
Bajer J., Peřina J.: Entropy and nonclassical light (to be published).
Peřinová V., Křepelka J., Lukš A.: Phys. Rev. A (1989) (in print).
Author information
Authors and Affiliations
Additional information
We would like to thank Dr. J. Peřina for worthful discussions concerning this subject.
Rights and permissions
About this article
Cite this article
Lukš, A., Peřinová, V. Entropy of shifted gaussian states. Czech J Phys 39, 392–407 (1989). https://doi.org/10.1007/BF01597798
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01597798