Quantum Treatment of the Interaction Between an N-Level Atom and Two Noninteracting Two-Level Atoms

2014 ◽  
Vol 35 (2) ◽  
pp. 169-181 ◽  
Author(s):  
M. Sebawe Abdalla ◽  
M. M. A. Ahmed ◽  
E. M. Khalil ◽  
A. S.-F. Obada
Keyword(s):  
N Level ◽  
Level Atom ◽  
Quantum Treatment

Quantum treatment for three waves mutually interacting with a single two-level atom

Laser Physics ◽  
2014 ◽  
Vol 24 (10) ◽  
pp. 105205 ◽  
Author(s):  
M Sebawe Abdalla ◽  
A S-F Obada ◽  
E M Khalil ◽  
M M A Ahmed
Keyword(s):  
Level Atom ◽  
Quantum Treatment

scholarly journals Quantum scheme for N-level atom interacting with a two two-level atom: Atomic Fisher information and entropy squeezing

2020 ◽  
Vol 59 (3) ◽  
pp. 1259-1264 ◽  
Author(s):  
Eman M.A. Hilal ◽  
S. Alkhateeb ◽  
S. Abdel-Khalek ◽  
E.M. Khalil ◽  
Amjaad A. Almowalled
Keyword(s):  
Fisher Information ◽  
Entropy Squeezing ◽  
N Level ◽  
Level Atom

A generalized Jaynes-Cummings model for the N-level atom and (N − 1) modes

1989 ◽  
Vol 156 (2) ◽  
pp. 689-712 ◽  
Author(s):  
A.M. Abdel-Hafez ◽  
A.M.M. Abu-Sitta ◽  
A.-S.F. Obada
Keyword(s):  
N Level ◽  
Level Atom

scholarly journals Influence of classical field on entanglement and photon statistics of n-level atom interacting with a two two-level atom

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 177-186
Author(s):  
Hammad Alotaibi ◽  
Eied Khalil ◽  
Sayed Abdel-Khalek ◽  
Abdullah Al-Barakaty
Keyword(s):  
External Field ◽  
Equation Of Motion ◽  
Classical Field ◽  
The Other ◽  
Photon Statistics ◽  
Heisenberg Equation ◽  
Initial State ◽  
N Level ◽  
Level Atom ◽  
Interacting Atoms

In this study, we consider three interacting atoms, one of them represented by N-level atom based on SU(2) Lie algebra and the other represented by a two two-level atom in presence of the external field. The effect of the external field on the dynamics of the proposed system is discussed in detail for certain values for the external field. The dynamical expression of the observable operators is obtained by using the Heisenberg equation of motion. The general solution via solving Schrodinger equation is obtained. The fidelity and concurrence formula as a measure of entanglement between two two-level atom are calculated and discussed in detail. We explore the sudden death and sudden birth phenomena with and without the presence of external field. Finally, we compare the results of the fidelity, concurrence and second-order correlation function for some values of the initial state and the external field parameters.

QUANTUM TREATMENT OF TWO COUPLED OSCILLATORS IN INTERACTION WITH A TWO-LEVEL ATOM: PARAMETRIC AMPLIFIER MODEL

2004 ◽  
Vol 18 (16) ◽  
pp. 2325-2345 ◽  
Author(s):  
E. M. KHALIL ◽  
M. SEBAWE ABDALLA ◽  
A. S.-F. OBADA
Keyword(s):  
Coupling Parameter ◽  
Parametric Amplifier ◽  
Statistical Properties ◽  
Field Interaction ◽  
Time Evolution Operator ◽  
Modified Model ◽  
Level Atom ◽  
Amplifier Model ◽  
Quantum Treatment ◽  
Physical Quantities

In this communication we handle a modified model representing the interaction between a two-level atom and two modes of the electromagnetic field in a cavity. The interaction between the modes is assumed to be of a parametric amplifier type. The model consists of two different systems, one represents the Jaynes–Cummings model (atom–field interaction) and the other represents the two mode parametric amplifier model (field–field interaction). After some canonical transformations the constants of the motion have been obtained and used to derive the time evolution operator. The wave function in the Schrödinger picture is constructed and employed to discuss some statistical properties related to the system. Further discussion related to the statistical properties of some physical quantities is given where we have taken into account an initial correlated pair-coherent state for the modes. We concentrate in our examination on the system behavior that occurred as a result of the variation of the parametric amplifier coupling parameter as well as the detuning parameter. It has been shown that the interaction of the parametric amplifier term increases the revival period and consequently longer period of strong interaction between the atom and the fields.

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