FIZIKA A 15 (2006) 2 , 113-124
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
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