Influence of Kerr Medium on Entanglement of Cascade-Type Three-Level Atoms and a Bimodal Cavity Field

2009 ◽  
Vol 48 (10) ◽  
pp. 2818-2825
Author(s):  
Ji-Hui Teng ◽  
Hong-Fu Wang ◽  
Lin-Na Qi ◽  
Shou Zhang
Keyword(s):  
Kerr Medium ◽  
Cavity Field ◽  
Cascade Type

DYNAMICS OF FISHER INFORMATION IN KERR MEDIUM

2009 ◽  
Vol 07 (08) ◽  
pp. 1541-1548 ◽  
Author(s):  
S. ABDEL-KHALEK
Keyword(s):  
Quantum State ◽  
Fisher Information ◽  
Kerr Medium ◽  
Cavity Field ◽  
Correlation Measure ◽  
Wehrl Entropy ◽  
Marginal Distributions ◽  
New Formula

We discuss new aspects of the interaction between a cavity field and Kerr-like medium, focusing on Fisher Information. Here, we provide a new formula for marginal distributions of the Fisher Information and comparison with the Wehrl entropy for the system has been presented. The results show that, it is a correlation measure which is true for any quantum state, provided that it shows the same entropy behaviors of certain reduced states.

N-ORDER SQUEEZING AND POISSONIAN STATISTICS OF A FOUR-LEVEL W-TYPE ATOM INTERACTING WITH ONE-MODE CAVITY FIELD

2011 ◽  
Vol 25 (22) ◽  
pp. 3001-3009 ◽  
Author(s):  
N. H. ABDEL-WAHAB
Keyword(s):  
Electromagnetic Field ◽  
Excited State ◽  
Coherent State ◽  
Single Mode ◽  
Kerr Medium ◽  
Cavity Field ◽  
Maximum Value ◽  
Quantized Electromagnetic Field ◽  
Poissonian Statistics

In this paper we consider a four-level W-type atom interacting with a single-mode quantized electromagnetic field in the presence of the Kerr medium. The atom and the field are initially prepared in the excited state and coherent state, respectively. The influence of the Kerr medium on the N-order squeezing and Poissonian statistics is investigated. We found that the maximum value of squeezing decreases by increasing the order N. Also, we noticed that the Kerr-like medium decreases the amount of squeezing and increases the sub-Poissonian statistics.

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.

A STUDY OF THE INTERACTION BETWEEN A FIVE-LEVEL ATOM AND A SINGLE-MODE CAVITY FIELD: FAN-TYPE

2011 ◽  
Vol 25 (24) ◽  
pp. 1971-1982 ◽  
Author(s):  
N. H. ABDEL-WAHAB
Keyword(s):  
Dynamical Behavior ◽  
Single Mode ◽  
Kerr Nonlinearity ◽  
Coupling Constants ◽  
Kerr Medium ◽  
Cavity Field ◽  
Atomic Inversion ◽  
Input Field ◽  
Level Atom ◽  
Single Mode Cavity

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.

Atom–atom entanglement dynamics enhancement via classically driven atoms coupled to a non-resonance single mode cavity field filled with nonlinear Kerr media

2015 ◽  
Vol 13 (05) ◽  
pp. 1550034 ◽  
Author(s):  
M. S. Ateto
Keyword(s):  
Single Mode ◽  
Kerr Medium ◽  
Entanglement Dynamics ◽  
Cavity Field ◽  
Kerr Media ◽  
Set Up ◽  
Atomic States ◽  
Interacting Atoms ◽  
High Degree ◽  
Degree Of Entanglement

Entanglement dynamics of two identical non-interacting atoms (qubits) coupled individually with simultaneous classical and quantum fields are studied. The cavity field is filled with a nonlinear Kerr medium and initially prepared in a coherent state. The atoms are initially set up as a Bell-like pure state (BS). We present an approach for diagonalization of time-dependent nonlinear Hamiltonian of the system exactly. Connection between the change in the degree of entanglement and tomography of field state in phase space are also illustrated and interpreted. We demonstrate the possibility of atom–atom (qubit–qubit) entanglement optimization by suitably choosing initial interaction settings. Overall, we show that both classical driving amplitude and detuning as well as Kerr media and initial atomic states acts as the control parameters for the qubit–qubit entanglement. By adjusting of these parameters, accurately, entanglement can be enhanced noticeably and high degree of steady periodical entanglement can be generated. Moreover, starting with initial atomic BSs in presence of classical driving suppresses coherences randomness and considerably accompanied with (for specific values of detuning) slight decrease in their amplitudes. Furthermore, the addition of cross Kerr term suppresses degree of entanglement noticeably, where entanglement creation and enhancement could just be possible if cross Kerr effect is moved out from interaction. Our present approach promises the great advantage of being suitable for large quantum systems of various kinds of nonlinearities.

On a moving four-level N-type atom interacting with two-mode cavity field in the presence of the cross-Kerr medium

2016 ◽  
Vol 30 (05) ◽  
pp. 1650035 ◽  
Author(s):  
N. H. Abdel-Wahab ◽  
Lamia E. Thabet
Keyword(s):  
Exact Solution ◽  
Cross Correlation ◽  
Temporal Evolution ◽  
Kerr Medium ◽  
Squeezed State ◽  
Cavity Field ◽  
Text Type ◽  
The Cross ◽  
The Difference ◽  
Careful Investigation

In this paper, some properties through the moving four-level [Formula: see text]-type atom interacting with a two-mode radiation field are presented. We study this system in the presence of the nonlinearity. The exact solution of this model is given by using the Schrödinger equation when the atom and the field are initially in an excited state and a squeezed state, respectively. We employed the results to perform a careful investigation of the temporal evolution of the cross-correlation function, the momentum increment, the difference mean photon numbers and the normal squeezing. The influence of the Kerr and the cross-Kerr medium parameters on these aspects is examined. It is found that the atom-field properties are affected by the changing of these parameters.

A MOVING RUBIDIUM ATOM INTERACTING WITH A SINGLE MODE CAVITY FIELD IN THE PRESENCE OF KERR MEDIUM

2004 ◽  
Vol 18 (21n22) ◽  
pp. 1087-1100 ◽  
Author(s):  
R. A. ZAIT ◽  
N. H. ABD EL-WAHAB
Keyword(s):  
Equations Of Motion ◽  
Single Mode ◽  
Kerr Medium ◽  
Cavity Field ◽  
Rubidium Atom ◽  
Exactly Solvable ◽  
Rotating Wave ◽  
Basic Equations ◽  
Q Function ◽  
Single Mode Cavity

We study the interaction between a moving four-level rubidium atom and a single mode cavity field in the presence of a nonlinear Kerr-like medium. We derive the basic equations of motion for the atomic system and show that it is exactly solvable in the rotating wave approximation. The momentum increment, the momentum diffusion and the quasi-probability distribution Q-function of this system are studied. We investigate numerically the influence of the Kerr medium on the evolution of the previous statistical properties in the exact resonant and nonresonant cases where the atom is initially in the ground state and the field is in a coherent state. It is found that the Kerr medium has an important effect on their evolutions. Finally, conclusions and discussion are given.

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