THE EFFECT OF SPREAD OF THE ATOMIC WAVE FUNCTION ON SOME STATISTICAL PROPERTIES OF THE FIELD

2005 ◽  
Vol 03 (02) ◽  
pp. 339-350 ◽  
Author(s):  
K. I. OSMAN

This paper deals with the system of a two-level atom interacting with a quantized single-mode standing-wave cavity field, which is entangled with the centre-of-mass motion of the atom under the coexistence of the Kerr nonlinearity. We investigate the effect of the spread of the initial atomic wave function on some quantum statistical properties (such as Q distribution function, entropy and phase distribution) with or without the Kerr-like medium. Numerical computations and a discussion of the results are presented.

1995 ◽  
Vol 74 (8) ◽  
pp. 1331-1334
Author(s):  
C. Schnurr ◽  
T. A. Savard ◽  
L. J. Wang ◽  
J. E. Thomas

2011 ◽  
Vol 25 (19) ◽  
pp. 2621-2636 ◽  
Author(s):  
E. M. KHALIL ◽  
M. M. A. AHMED ◽  
A.-S. F. OBADA

The problem of a two-level atom interacting with single mode cavity field is considered, however, the optical cavity is filled with new structure of a generalized nonlinear Stark shift via Ξ configuration. One starts with a three-level trapped atom interacting with the quantized field of center of mass motion thus a Hamiltonian for one-phonon process with nonlinearities is derived. Through the elimination of the intermediate level by using the adiabatic elimination method, we generate a new structure of effective Hamiltonian for a two-level atom with a nonlinear Stark shift. The temporal evolution of the atomic inversion is studied, we introduce that in the presence of the Stark shift parameter the atom leaves in a maximal entangled sate. We use the von Neuman entropy to measure the degree of entanglement between the atom and the field. After adding the nonlinear Stark shift the system never reaches the pure state. Also we study the Q-function for obtaining more information in phase space for this system. These aspects are sensitive to changes in the Stark shift parameter. The results shows that the effect of the nonlinearity in the Stark shift changes the quasiperiod of the field entropy and hence the entanglement between the particle and the field.


2011 ◽  
Vol 25 (24) ◽  
pp. 1971-1982 ◽  
Author(s):  
N. H. ABDEL-WAHAB

In this paper, a model describing the interaction of a five-level (85 Rb ) atom with one-mode cavity field including Kerr nonlinearity is discussed. Analytical solution for this model is presented when the atom is initially prepared in its upper state. The obtained results are then employed to examine the dynamical behavior of atomic inversion, field statistics and field squeezing when the input field is initially considered in a coherent state. It is found that the atom-field properties are influenced by the changing of the coupling constants, the detuning parameters and the Kerr medium.


2000 ◽  
Vol 17 (3) ◽  
pp. 165-167 ◽  
Author(s):  
Zheng-Dong Liu ◽  
Shi-Yao Zhu ◽  
Yu Lin ◽  
Liang Zeng ◽  
Qin-Min Pan

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