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.

scholarly journals A deformed model for N-type four-level atom and a single mode field system in the presence of the Kerr medium

2021 ◽  
Author(s):  
N.H. Abdel-Wahab ◽  
S. Abdel-Khalek ◽  
E.M. Khalil ◽  
Nawal Alshehri
Keyword(s):  
Geometric Phase ◽  
Nonlinear Medium ◽  
Single Mode ◽  
Medium Effect ◽  
Kerr Medium ◽  
Resonance Case ◽  
Coupling Interaction ◽  
Field System ◽  
Mode Field ◽  
Level Atom

Abstract The aim of this paper is to study the interaction between a single mode field and four-level atom in N - configuration under nonlinear medium effect. The non-resonance case and the deformation forms in the coupling interaction between the field and the atom are included. The wave function of the proposed system is obtained when the atom is prepared initially in its excited state while the field is prepared in a coherent state. The effect of the deformation and nonlinear medium on the temporal behavior of collapse-revival, field entropy and geometric phase of the system are examined. The results show that the presence of the intensity of the coupling interaction and the non-linear medium have an important influence on the properties of these phenomena.

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.

scholarly journals Entanglement and geometric phase of the coherent field interacting with a three two-level atoms in the presence of non-linear terms

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 39-48
Author(s):  
Eman Hilal ◽  
Sadah Alkhateeb ◽  
Sayed Abdel-Khalek ◽  
Eied Khalil ◽  
Amjaad Almowalled
Keyword(s):  
Coherent State ◽  
Geometric Phase ◽  
Initial Conditions ◽  
Von Neumann Entropy ◽  
Kerr Medium ◽  
Field Mode ◽  
Coherent Field ◽  
Non Linear ◽  
Atomic States ◽  
The Impact

We study the interaction of a three two-level atoms (3-2LA) with a one-mode op?tical coherent field in coherent state in the presence of non-linear Kerr medium. The three atoms are initially prepared in upper and entangled states while the field mode is in a coherent state. The constants of motion, 3-2LA and field density matrix are obtained. The analytic results are employed to perform some investigations of the temporal evolution of the von Neumann entropy as measure of the degree of entanglement between the 3-2LA and optical coherent field. The effect of the detuning and the initial atomic states on the evolution of geometric phase and en?tanglement is analyzed. Also, we demonstrate the link between the geometric phase and non-classical properties during the evolution time. Additionally the effect of detuning and initial conditions on the Mandel parameter is studied. The obtained results are emphasize the impact of the detuning and the initial atomic states of the feature of the entanglement, geometric phase and photon statistics of theoptical coherent field.

Quantum Entanglement and Geometric Phase of Two Moving Two-Level Atoms

2015 ◽  
Vol 22 (03) ◽  
pp. 1550015 ◽  
Author(s):  
S. Abdel-Khalek
Keyword(s):  
Geometric Phase ◽  
Essential Role ◽  
Coupling Parameter ◽  
Atomic Motion ◽  
Von Neumann Entropy ◽  
Field Mode ◽  
Von Neumann ◽  
Nonlocal Correlations ◽  
Interesting Correlation ◽  
Important Kind

An important kind of interaction between two moving two-level atoms and a field mode, where the coupling parameter is taken to be time-dependent, is presented in this paper. Nonlocal correlations between the atoms and the field have been investigated by means of concurrence and von Neumann entropy in terms of the involved parameters of the system. The results show that the atomic motion plays an essential role in the evolution of system dynamics, its nonlocal correlations and geometric phase. Moreover, an interesting correlation between the entanglement and the geometric phase during the evolution was observed. The presented system can be very useful for generating and maintaining high amount of entanglement by means of controlling the parameters of atomic motion.

SQUEEZING AND QUASIPROBABILITIES FOR A TWO-PHOTON JAYNES-CUMMINGS MODEL WITH ATOMIC MOTION

1992 ◽  
Vol 06 (21) ◽  
pp. 3539-3550 ◽  
Author(s):  
AMITABH JOSHI ◽  
SURESH V. LAWANDE
Keyword(s):  
Standard Model ◽  
Comparative Study ◽  
Interaction Time ◽  
Atomic Motion ◽  
Mode Structure ◽  
Field Mode ◽  
Two Photon ◽  
The Standard Model ◽  
Q Function ◽  
Quasiprobability Distribution

We study the squeezing and the quasiprobability distribution Q-function for an extended two-photon Jaynes-Cummings model (JCM) that includes atomic motion and the field mode structure. A comparative study of this model with respect to the standard model (in which the atom is at rest) has been presented here to isolate the effect of limited atom-radiation interaction time.

Quantum discord between two moving two-level atoms

Open Physics ◽  
2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Yao-Hua Hu ◽  
Mao-Fa Fang
Keyword(s):  
Quantum Correlation ◽  
Quantum Discord ◽  
Single Mode ◽  
Atomic Motion ◽  
Structure Parameter ◽  
Cavity Field ◽  
Mode Structure ◽  
Field Mode ◽  
The One ◽  
Jc Model

AbstractConsidering a double JC model, this paper investigates the quantum discord dynamics of two isolated moving two-level atoms each interacting with a single-mode thermal cavity field, and studies the effect of the atomic motion and the field-mode structure on quantumdiscord. The results show that, on the one hand the quantum discord evolves periodically with time and the periods are affected by the atomic motion and the field-mode structure; on the other hand, the quantum discord still can capture the quantum correlation between the two atoms when the entanglement is zero. It is interesting to note that the quantum discord can be effectively preserved by controlling the field-mode structure parameter

scholarly journals Entanglement and geometric phase of the coherent field interacting with a three two-level atoms in the presence of non-linear terms

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 39-48
Author(s):  
Eman Hilal ◽  
Sadah Alkhateeb ◽  
Sayed Abdel-Khalek ◽  
Eied Khalil ◽  
Amjaad Almowalled
Keyword(s):  
Coherent State ◽  
Geometric Phase ◽  
Initial Conditions ◽  
Von Neumann Entropy ◽  
Kerr Medium ◽  
Field Mode ◽  
Coherent Field ◽  
Non Linear ◽  
Atomic States ◽  
The Impact

We study the interaction of a three two-level atoms (3-2LA) with a one-mode op?tical coherent field in coherent state in the presence of non-linear Kerr medium. The three atoms are initially prepared in upper and entangled states while the field mode is in a coherent state. The constants of motion, 3-2LA and field density matrix are obtained. The analytic results are employed to perform some investigations of the temporal evolution of the von Neumann entropy as measure of the degree of entanglement between the 3-2LA and optical coherent field. The effect of the detuning and the initial atomic states on the evolution of geometric phase and en?tanglement is analyzed. Also, we demonstrate the link between the geometric phase and non-classical properties during the evolution time. Additionally the effect of detuning and initial conditions on the Mandel parameter is studied. The obtained results are emphasize the impact of the detuning and the initial atomic states of the feature of the entanglement, geometric phase and photon statistics of theoptical coherent field.

SUB-ENTROPIES AND PHASE PROPERTIES UNDERGOING THE EFFECTS OF ATOMIC MOTION FOR THE JAYNES–CUMMINGS MODEL WITH INITIAL MIXED STATE INPUT

2006 ◽  
Vol 04 (05) ◽  
pp. 871-882 ◽  
Author(s):  
A.-S. F. OBADA ◽  
H. A. HESSIAN ◽  
A.-B. A. MOHAMED
Keyword(s):  
Mixed State ◽  
Coherent States ◽  
Atomic Motion ◽  
Superposition State ◽  
Mode Structure ◽  
Initial State ◽  
Initial Field ◽  
Field Mode ◽  
Intensity Dependent Coupling ◽  
Phase Properties

An analytical method to calculate the sub-entropies and entanglement for the mixed state as an initial field is presented. Also, we investigate the effects of the atomic motion and the field-mode structure on sub-entropies and phase properties of the coherent superposition state and a statistical mixture of coherent states as initial field states taking into account different forms of the intensity-dependent coupling. The initial state, the atomic motion and the field-mode structure play important roles in the time evolution of the entropies, entanglement and phase properties.

scholarly journals Effects of Kerr medium in coupled cavities on quantum state transfer

2018 ◽  
Vol 27 (03) ◽  
pp. 1850035
Author(s):  
T. M. Manosh ◽  
Muhammed Ashefas ◽  
Ramesh Babu Thayyullathil
Keyword(s):  
Quantum State ◽  
Nonlinear Medium ◽  
Adiabatic Approximation ◽  
Kerr Medium ◽  
Quantum State Transfer ◽  
Coupled Cavities ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
State Transfer ◽  
Rotating Wave

We study the effect of Kerr type nonlinear medium in quantum state transfer (QST). We have investigated the effect of different coupling schemes and Kerr medium parameters [Formula: see text] and [Formula: see text]. We found that the Kerr medium introduced in the connection channel can act like a controller for QST. The numerical simulations are performed without taking the adiabatic approximation. Rotating wave approximation is used in the atom–cavity interaction only in the lower coupling regime.

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