Eur. Phys. J. D 41, 391-396 (2007)
https://doi.org/10.1140/epjd/e2006-00222-0

Squeezing properties of the Kerr-down conversion system

¹ Department of Mathematics and Computer Science, Faculty of Science, Suez Canal University, 41522 Ismailia, Egypt
² Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
³ Department of Optics and Joint Laboratory of Optics, Palacký University, 17. listopadu 50, 772 07 Olomouc, Czech Republic

Corresponding author: ^a m.sebaweh@physics.org

Received: 16 June 2006
Revised: 8 September 2006
Published online: 29 September 2006

Abstract

In this paper we describe a new two-mode system, which consists of Kerr-like medium and down conversion process, called the Kerr-down conversion system. Under a certain condition we can obtain an exact solution of the dynamical equations of motion. For this system we investigate different kinds of quadrature squeezing, e.g., single-mode, two-mode and sum-squeezing. Also we give a more general definition of the principal squeezing. We show that the amounts of nonclassical effects produced by the Kerr-like and down-conversion processes separately are greater than those obtained from the Kerr-down conversion system where both the processes are in competition.