QUANTUM TREATMENT OF A TIME DEPENDENT SINGLE-TRAPPED ION INTERACTING WITH A BIMODAL CAVITY FIELD

Author:

ABDEL-ATY MAHMOUD1,OBADA A.-S. F.2,ABDALLA M. SEBAWE3

Affiliation:

1. Mathematics Department, Faculty of Science, South Valley University, 82524 Sohag, Egypt

2. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

3. Mathematics Department, College of Science, King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia

Abstract

In the present communication we consider a time dependent ion-field interaction. Here we discuss the interaction between a single trapped ion and two fields taking into account the coupling parameter to be time dependent and allowing for amplitude modulation of the laser field radiating the trapped ion. At exact resonances the analytic solution for the Heisenberg equations of motion is obtained. We examine the effect of the velocity and the acceleration on the Rabi oscillations by studying the second order correlation function. The phenomenon of squeezing for single and two fields cases is considered. The cross correlation between the fields is discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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