CHINESE JOURNAL OF PHYSICS VOL. 39, NO. 1 FEBRUARY 2001

On the Interaction of Two-Level Atoms with
Squeezed Coherent State Superpositions

G. M. Abd Al-Kader and M. M. A. Ahamd

Department of Mathematics, Faculty of Science, Al-Azhar University,

Nasr City 11884, Cairo, Egypt
(Received September 26, 2000)

The properties of the squeezed coherent state superpositions are reviewed. The interaction of these states with the two-level atom in an ideal cavity is studied. Exact general matrix elements of the time-dependent operators of a generalized Jaynes-Cummings model with these states are derived. The atomic inversion and photon number distribution are discussed. The analytic and numerical forms of the Q function are obtained. The phase properties of the output fields are studied.

PACS. 42.50.Dv - Nonclassical $\,$field $\,$states; $\,$squeezed, $\,\,$antibunched, $\,\,$and $\,\,$sub-Poissonian
states; operational definitions of the phase of the field; phase measurements.
PACS. 42.50.Vk $\,$- Mechanical effects of light on atoms, molecules, electrons, and ions.
PACS. 42.50.-p $\;$- Quantum optics.

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