FIZIKA A 15 (2006) 2 , 113-124

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ONE-MODE INTERACTION WITH A FOUR-LEVEL ATOM IN A MOMENTUM EIGENSTATE

N. H. ABDEL-WAHAB, MAGDY E. AMIN and M. TAHA

Mathematics Department, Faculty of Science, Minia University, Egypt

Received 19 March 2005;  Accepted 13 September 2006
Online 15 December 2006

We study the interaction between a four-level atom (ladder type) in a momentum eigenstate with a single mode cavity field in the presence of non-linearities of both the field and the intensity-dependent coupling. The constants of motion and the wave function for the atomic system have been obtained. Special attention is given to discuss some statistical aspects of the considered atomic system such as momentum increment, momentum diffusion and high-order squeezing. The influence of the Kerr-like medium and the intensity dependent coupling on the momentum increment and the high-order squeezing are investigated numerically. It is found that addition of these parameters has an important effect on both the momentum increment and the squeezing phenomenon.

PACS numbers: 42.50.Dv, 42.50.Ct, 42.50.Vk, 42.50.-P
UDC 539.182, 539.186

Keywords: four-level atom (ladder type), cavity field, non-linearities, intensity-dependent coupling, Kerr-like medium

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