Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics B Atomic Molecular and Optical Physics

A moving four-levelN-type atom interacting with cavity fields

N. H. Abdel-Wahab

Published May 6, 2008• 31 citations
Publisher

Abstract

We study the non-resonant interaction of a moving four-level N -type atom with cavity fields in the presence of a nonlinear Kerr-like medium. The exact solutions of the considered models are obtained when the atom is initially in an upper state, while the field is in a coherent state. We derive an expression for the occupation numbers of the photon state. Also, the momentum increment of the atomic system is obtained. The influence of the detuning parameters or the Kerr medium on the evolution time of the momentum increment is examined numerically. The existence of the detuning parameters leads to the retraction of the revivals for the three atomic systems. On the other hand, the presence of the Kerr medium is conducive to increasing the regularity and periodicity of the collapse–revival phenomenon for the one- and two-mode systems, while chaotic behaviour occurs for the three-mode system.

DOI
10.1088/0953-4075/41/10/105502

Related papers

The interaction between a four-levelN-type atom and two-mode cavity field in the presence of a Kerr medium

N. H. Abdel-Wahab

In this paper, we investigate the collapse-revival phenomenon and the Poissonian statistics of a four-level N -configuration atom interacting with two-mode cavity fields. We assume that the transition between the upper level and the third level of an atom is coupled by the frequency of mode one, while the other transitions are coupled by the frequencies of the two modes or mode two. The interaction is a multi-photon process and a Kerr medium is taken into account in the non-resonant case. We solve the models when the atom is initially prepared in a coherent superposition of the upper and ground states and the field is considered in a coherent state. The effects of both the detuning and the Kerr medium on the temporal behaviour of some statistical aspects are analysed. The conclusions are reached and some features are given.

Journal of Physics B Atomic Molecular and Optical Physics•Oct 19, 2007•17 citations

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

N. H. Abdel-Wahab, Lamia E. Thabet

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.

Modern Physics Letters B•Feb 1, 2016•2 citations

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

R. A. Zait, N. H. Abd El-Wahab

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.

Modern Physics Letters B•Sep 30, 2004•14 citations

A Moving Three Level Lambda Rubidium Atom Interacting with a Single Mode Cavity Field in the Presence of Kerr Medium

Ahmed Salah, N. H. Abd El-Wahab

We study the interaction between a moving three-level lambda rubidium atom and a single mode cavity field in the presence of Kerr-like medium. We derive the basic equations of motion for atomic system and show that it is exactly solvable in the rotating wave approximation (RWA). The momentum increment, the momentum diffusion and the Mandel Q parameter of this system are studied. We investigate numerically the influence of Kerr-Like medium on the evolution of the previous statistical properties in the exact resonate and nonresonate case where the atom is initially prepared in a momentum eigenstate and the field in the squeezed state. It is found that the Kerr medium has an important effect on their evolution. Finally, conclusion and discussion are given.

arXiv:2209.00704•Sep 1, 2022•0 citations

MOVING FOUR-LEVEL ATOM INTERACTING WITH A SINGLE-MODE FIELD WITH INTENSITY DEPENDENT COUPLING

R. A. Zait

We study the interaction of a moving four-level atom with a single mode cavity field. Involving intensity dependent coupling, the atom-field wave function and the reduced density matrix of the field are obtained when the atom is initially prepared in a coherent superposition of the upper and ground states and the field is initially in a coherent state. The influence of the intensity dependent atom-field coupling and of the detuning on the collapse and revival phenomenon of the time evolution of statistical aspects, such as the mean photon number, the second-order correlation function of the field, the momentum increment and momentum diffusion, are investigated. It is found that, for the nonresonant case, the detuning between the field and the atom has a significant influence which leads to increasing the collapse time with decreasing amplitude. Numerical computations and discussion of the results are presented.

International Journal of Modern Physics B•Aug 30, 2004•1 citation

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

N. H. Abdel-Wahab, S. Abdel‐Khalek, Eied Mahmoud Khalil +2 more

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.

Optical and Quantum Electronics•May 12, 2022•2 citations
We study the non-resonant interaction of a moving four-level N -type atom with cavity fields in the presence of a nonlinear Kerr-like medium. The exact solutions of the considered models are obtained when the atom is initially in an upper state, while the field is in a coherent state. We derive an expression for the occupation numbers of the photon state. Also, the momentum increment of the atomic system is obtained. The influence of the detuning parameters or the Kerr medium on the evolution time of the momentum increment is examined numerically. The existence of the detuning parameters leads to the retraction of the revivals for the three atomic systems. On the other hand, the presence of the Kerr medium is conducive to increasing the regularity and periodicity of the collapse–revival phenomenon for the one- and two-mode systems, while chaotic behaviour occurs for the three-mode system.
In this paper, we investigate the collapse-revival phenomenon and the Poissonian statistics of a four-level N -configuration atom interacting with two-mode cavity fields. We assume that the transition between the upper level and the third level of an atom is coupled by the frequency of mode one, while the other transitions are coupled by the frequencies of the two modes or mode two. The interaction is a multi-photon process and a Kerr medium is taken into account in the non-resonant case. We solve the models when the atom is initially prepared in a coherent superposition of the upper and ground states and the field is considered in a coherent state. The effects of both the detuning and the Kerr medium on the temporal behaviour of some statistical aspects are analysed. The conclusions are reached and some features are given.
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.
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.
We study the interaction between a moving three-level lambda rubidium atom and a single mode cavity field in the presence of Kerr-like medium. We derive the basic equations of motion for atomic system and show that it is exactly solvable in the rotating wave approximation (RWA). The momentum increment, the momentum diffusion and the Mandel Q parameter of this system are studied. We investigate numerically the influence of Kerr-Like medium on the evolution of the previous statistical properties in the exact resonate and nonresonate case where the atom is initially prepared in a momentum eigenstate and the field in the squeezed state. It is found that the Kerr medium has an important effect on their evolution. Finally, conclusion and discussion are given.
We study the interaction of a moving four-level atom with a single mode cavity field. Involving intensity dependent coupling, the atom-field wave function and the reduced density matrix of the field are obtained when the atom is initially prepared in a coherent superposition of the upper and ground states and the field is initially in a coherent state. The influence of the intensity dependent atom-field coupling and of the detuning on the collapse and revival phenomenon of the time evolution of statistical aspects, such as the mean photon number, the second-order correlation function of the field, the momentum increment and momentum diffusion, are investigated. It is found that, for the nonresonant case, the detuning between the field and the atom has a significant influence which leads to increasing the collapse time with decreasing amplitude. Numerical computations and discussion of the results are presented.
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.