Pancharatnam Phase and Field Purity of a Three-Level Atom in Nonlinear Kerr Medium Field Based on Generalized Heisenberg Algebra

2017 ◽  
Vol 14 (2) ◽  
pp. 965-971 ◽  
Author(s):  
EmanM. A. Hilal ◽  
Sadah.A. Alkhateeb ◽  
Sayed Abdel-Khalek
Keyword(s):  
Heisenberg Algebra ◽  
Kerr Medium ◽  
Pancharatnam Phase ◽  
Level Atom ◽  
Field Purity

GEOMETRIC PHASE AND DISENTANGLEMENT OF A MOVING FOUR-LEVEL ATOM IN THE PRESENCE OF NONLINEAR MEDIUM

2012 ◽  
Vol 10 (01) ◽  
pp. 1250007 ◽  
Author(s):  
NOUR ZIDAN ◽  
S. ABDEL-KHALEK ◽  
M. ABDEL-ATY
Keyword(s):  
System Dynamics ◽  
Geometric Phase ◽  
Nonlinear Medium ◽  
Atomic Motion ◽  
Kerr Medium ◽  
Mode Structure ◽  
Field Mode ◽  
Level Atom

In this paper, we investigate the geometric phase of the field interacting with a moving four-level atom in the presence of Kerr medium. The results show that the atomic motion, the field-mode structure and Kerr medium play important roles in the evolution of the system dynamics. As illustration, we examine the behavior of the geometric phase and entanglement with experimentally accessible parameters. Some new aspects are observed and discussed.

FIELD PURIFICATION OF A GENERAL THREE-LEVEL SYSTEM INTERACTING WITH RADIATION

2003 ◽  
Vol 17 (07) ◽  
pp. 253-262 ◽  
Author(s):  
MAHMOUD ABDEL-ATY
Keyword(s):  
Exact Solution ◽  
Electromagnetic Field ◽  
Density Operator ◽  
Photon Number ◽  
Entangled State ◽  
Level System ◽  
Level Atom ◽  
Coherent Field ◽  
Field Purity ◽  
Intensity Dependent Coupling

In this essay we introduce a new Hamiltonian which represents the interaction between a three-level atom and a single electromagnetic field including arbitrary forms of nonlinearities of both the field and the intensity-dependent coupling. We derive an exact solution for the density operator of the system by means of which we study the field purity for the entangled state of the system. Also, the influences of the nonlinearities on the field purity and mean photon number are examined. Under the condition of an initial coherent field, the field purity shows the collapse-revival phenomenon. It is found that features of these phenomenon are sensitive to the changes of different kinds of the nonlinearities.

ENTROPY AND ENTANGLEMENT OF THE SUPERPOSITIONS OF DISPLACED FOCK STATES WITH A TWO-LEVEL ATOM

2006 ◽  
Vol 20 (11n13) ◽  
pp. 1269-1279
Author(s):  
GAMAL M. ABD AL-KADER
Keyword(s):  
Temporal Evolution ◽  
Photon Number ◽  
Time Dependent ◽  
Kerr Medium ◽  
Matrix Elements ◽  
Atomic Inversion ◽  
Fock States ◽  
Level Atom ◽  
Careful Investigation ◽  
Photon Number Distribution

The properties of the displaced Fock states (DFS's) superpositions are reviewed. The interaction of these states with a two-level atom in cavity with the presence of additional Kerr medium is studied. Exact general matrix elements of the time-dependent operators of a Jaynes-Cummings model (JCM), in the presence of a Kerr medium, with these states are derived. The atomic inversion and photon number distribution are discussed. The quantum entropy and the entanglement of the atom-field are investigated. The exact results are employed to perform a careful investigation of the temporal evolution of the entropy. The connection between the field entropy and the collapses and revivals of the atomic inversion has been established. The general conclusions reached are illustrated by numerical results.

INTENSITY DEPENDENT COUPLING HAMILTONIAN VIA MULTI-PHOTON INTERACTION IN A KERR MEDIUM

2003 ◽  
Vol 17 (30) ◽  
pp. 5795-5810 ◽  
Author(s):  
R. A. ZAIT
Keyword(s):  
Single Mode ◽  
Kerr Medium ◽  
Cavity Field ◽  
Field Mode ◽  
Atomic Inversion ◽  
Two Photon ◽  
Level Atom ◽  
The One ◽  
Q Function ◽  
Quasiprobability Distribution

We study the dynamics and quantum characteristics of a single two-level atom interacting with a single mode cavity field undergoing a multi-photon processes in the presence of a nonlinear Kerr-like medium. The wavefunctions of the multi-photon system are obtained when the atom starts in the excited and in the ground state. The atomic inversion, the squeezing of the radiation field and the quasiprobability distribution Q-function of the field are discussed. Numerical results for these characteristics are presented when the atom starts in the excited state and the field mode in a coherent state. The influence of the presence and absence of the number operator and the Kerr medium for the one- and two-photon processes on the evolution of these characteristics are analyzed.

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