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ISRN Optics
Volume 2012 (2012), Article ID 476817, 12 pages
http://dx.doi.org/10.5402/2012/476817
Research Article

Quantum Dynamics of Interacting Modes in Intracavity Third Harmonic Generation Process

1Moscow Institute of Physics and Technology, Moscow, Russia
2Institute for Physical Research, National Academy of Sciences of Armenia, Ashtarak, Armenia

Received 6 September 2012; Accepted 17 October 2012

Academic Editors: M. Goksör, Y. S. Kivshar, M. Midrio, and D. H. Woo

Copyright © 2012 Menua Gevorgyan and Saribek Gevorgyan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the quantum dynamics of the number of photons of the interacting modes, the dynamics of the quantum entropy, and the Wigner function of the states of the fundamental and the third harmonic modes for the process of intracavity third harmonic generation. It is shown that the quantum dynamics of the system strongly depends on the external resonant perturbation of the fundamental mode and on the coupling coefficient of the interacting modes. In the region of long interaction times, the modes of the field can be both in stable and in unstable states—depending on the above-mentioned quantities. In the paper, we also investigate the dynamics of transition of the system from stable to unstable states.