Journal of Physical Studies 6(3), 337–342 (2002) DOI: https://doi.org/10.30970/jps.06.337 THE EQUILIBRIUM RADIATIVE STATES OF A NONLINEAR QUANTUM-OPTICAL SYSTEM N. N. Bogoliubov1, U. Taneri2, A. K. Prykarpatsky3 1Dept. of Statistical Mechanics at the Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, 117966, Russian Federation 2Eastern Mediterranean University of Famagusta, Department of Mathematics, N. Cyprus 3University of Mining and Metallurgy of Kraków, Department of Applied Mathematics, Kraków 30059 Poland and Eastern Mediterranean University of Famagusta, Department of Physics, N. Cyprus

A lot of modern electronic devices are operating with optical signals generated due to the interaction of a working substance like crystal with an external laser radiation. As in most of these devices the interaction is nonlinear and processes making them stable are quantum, it is important to devise suitable approaches to studying their equilibrium radiative states subject to the external conditions imposed on a system. We succeded in finding a closed system of relationships on external crystal-light parameters yielding the quasi-equilibrium signal and idler intensity states radiated inside a crystal. This is the main aim of the presented work developing the modern quantum field theory methods for the analysis of radiative states in a nonlinear quantum-optical system having important applications in electronics.

PACS number(s): 71.30.Cc,78.40.Fy

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