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

Modern Physics Letters B

The influence of the classical homogenous gravitational field on interaction of a three-level atom with a single mode cavity field

N. H. Abd El-Wahab, Ahmed Salah

Published Sep 2, 2015• 11 citations
Publisher

Abstract

We study the interaction between a single mode electromagnetic field and a three-level [Formula: see text]-type atom in the presence of a classical homogenous gravitational field when the atom is prepared initially in the momentum eigenstate. The model includes the detuning parameters and the classical homogenous gravitational field. The wave function is calculated by using the Schrödinger equation for a coherent electromagnetic field and an atom is in its excited state. The influence of the detuning parameter and the classical homogenous gravitational field on the temporal behavior of the mean photon number, the normalized second-order correlation function and the normal squeezing is analyzed. The results show that the presence of these parameters has an important effect on these phenomena. The conclusion is reached and some features are given.

DOI
10.1142/s0217984915501754

Related papers

Properties of Quantum Entanglement in the Two-Photon Jaynes-Cummings Model in the Presence of the Classical Homogenous Gravitational Field with an Added Kerr-Like Medium

N. H. Abd El-Wahab, Ahmed Salah

We study the interaction between a one-mode electromagnetic field and a two-photon Jaynes-Cummings model in the presence of the classical homogenous gravitational field with an added Kerr-like medium when the atom is prepared initially in the momentum eigenstate. The wave function is calculated by using the Schrodinger equation for a coherent electromagnetic field and an atom in the excited state. The influence of the Kerr-like medium and the classical homogenous gravitational field on the properties of the entropy of the field is examined. Keywords: two-level atom; Kerr-like medium; gravitational field; entropy .

Nova Journal of Engineering and Applied Sciences•Jan 17, 2016•0 citations

Influence of Detuning and Kerr-like Medium on the Interaction of a three-level Atom with Squeezed two-mode Cavity Field

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

We study the interaction of a three-level atom with two-mode cavity field containing a Kerr-like medium in this cavity. The atom is initially prepared in a momentum eigenstate and the field is in the squeezed state. The constants of motion and the wave function for the atomic system of Λ-configuration at any time t > 0 are obtained. Also, the momentum increment, the momentum diffusion and the field entropy are calculated. The analytic results are employed to perform some investigations of the temporal evolution of the momentum increment and the field entropy. The influence of the number operators, the detunings and/or the Kerr-like medium is analysed. It is shown that the addition of the Kerr medium and/or the detunings in the presence or absence of the number operators has an important effect on the properties of the momentum increment and of the field entropy. Finally, conclusions and some features and comments are given.

Physica Scripta•Jan 1, 2002•10 citations

On the interaction between Λ-type five-level atom and one-mode squeezed coherent field

Ali A. Alkathiri, Shami A. M. Alsallami, N. H. Abdel-Wahab +2 more

This article investigates the effect of the detuning interaction parameters of a single-mode electromagnetic field with a five-level Λ-type. The differential system is solved in the presence of detuning parameter under the initial conditions when the atom and field are prepared in an excited and squeezed state, respectively. The non-classical properties of the field initially in the squeezed coherent states based on the evolution of the second-order correlation function. The study of entanglement between parts of a quantum system is done through the von Neumann entropy. We analyze the effect of the squeeze and detuning parameters on the dynamics of some field aspects and non-local correlation. The results obtained from this study show that the detuning parameter has an essential impact on the field properties.

Results in Physics•Jun 17, 2022•4 citations

Quantum statistical properties of the Jaynes–Cummings model in the presence of a classical homogeneous gravitational field

M Mohammadi, M. H. Naderi, M. Soltanolkotabi

The temporal evolution of quantum statistical properties of an interacting atom–radiation field system in the presence of a classical homogeneous gravitational field is investigated within the framework of the Jaynes–Cummings model. To analyse the dynamical evolution of the atom–radiation system a quantum treatment of the internal and external dynamics of the atom is presented based on an alternative su(2) dynamical algebraic structure. By solving the Schrödinger equation in the interaction picture, the evolving state of the system is found by which the influence of the gravitational field on the dynamical behaviour of the atom–radiation system is explored. Assuming that initially the radiation field is prepared in a coherent state and the two-level atom is in a coherent superposition of the excited and ground states, the influence of gravity on the collapses and revivals of the atomic population inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting statistics and quadrature squeezing of the radiation field is studied.

arXiv:quant-ph/0612140•Journal of Physics A Mathematical and Theoretical•Jan 23, 2007•16 citations

N-level Atom in a Momentum Eigenstate Interacting with an (N− 1) Mode Cavity Field

N. H. Abdel-Wahab

We assume that an N -level moving atom interacts with an ( N − 1) mode electromagnetic cavity field. The model includes the detuning and the intensity-dependent coupling. The constants of motion and the wave function for the atomic system is obtained. Some statistical aspects of the considered atomic system such as momentum increment and momentum diffusion have been calculated. The influence of the initial mean photon number, the detuning parameter and the intensity dependent coupling on the momentum increment are investigated when the atom is initially in excited state and the field is in a squeezed state. It is found that the momentum of the atom is unchanged for large initial mean photon number.

Physica Scripta•Jan 1, 2005•6 citations

Nonresonant interaction between a three-level atom with a momentum eigenstate and a one-mode cavity field in a Kerr-like medium

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

We study the interaction of a three-level atom with a one-mode cavity field in the presence of a Kerr-like medium. The atom is initially prepared in a momentum eigenstate and the field in the squeezed state. We obtain the constants of motion and the wavefunction for the atomic system of Λ-configuration. Also, we calculate the momentum increment, the momentum diffusion and the field entropy. The analytic results are employed to perform some investigations of the temporal evolution of the momentum increment and the field entropy. The effect of the detuning and the Kerr-like medium is analysed. The results show that the effect of the detuning and/or the Kerr-like medium changes the quasi-period of both the momentum increment and the field entropy evolution and entanglement between the atom and the field. Conclusions and discussion are given and illustrated by numerical results.

Journal of Physics B Atomic Molecular and Optical Physics•Aug 21, 2002•23 citations
We study the interaction between a single mode electromagnetic field and a three-level [Formula: see text]-type atom in the presence of a classical homogenous gravitational field when the atom is prepared initially in the momentum eigenstate. The model includes the detuning parameters and the classical homogenous gravitational field. The wave function is calculated by using the Schrödinger equation for a coherent electromagnetic field and an atom is in its excited state. The influence of the detuning parameter and the classical homogenous gravitational field on the temporal behavior of the mean photon number, the normalized second-order correlation function and the normal squeezing is analyzed. The results show that the presence of these parameters has an important effect on these phenomena. The conclusion is reached and some features are given.
We study the interaction between a one-mode electromagnetic field and a two-photon Jaynes-Cummings model in the presence of the classical homogenous gravitational field with an added Kerr-like medium when the atom is prepared initially in the momentum eigenstate. The wave function is calculated by using the Schrodinger equation for a coherent electromagnetic field and an atom in the excited state. The influence of the Kerr-like medium and the classical homogenous gravitational field on the properties of the entropy of the field is examined. Keywords: two-level atom; Kerr-like medium; gravitational field; entropy .
We study the interaction of a three-level atom with two-mode cavity field containing a Kerr-like medium in this cavity. The atom is initially prepared in a momentum eigenstate and the field is in the squeezed state. The constants of motion and the wave function for the atomic system of Λ-configuration at any time t > 0 are obtained. Also, the momentum increment, the momentum diffusion and the field entropy are calculated. The analytic results are employed to perform some investigations of the temporal evolution of the momentum increment and the field entropy. The influence of the number operators, the detunings and/or the Kerr-like medium is analysed. It is shown that the addition of the Kerr medium and/or the detunings in the presence or absence of the number operators has an important effect on the properties of the momentum increment and of the field entropy. Finally, conclusions and some features and comments are given.
This article investigates the effect of the detuning interaction parameters of a single-mode electromagnetic field with a five-level Λ-type. The differential system is solved in the presence of detuning parameter under the initial conditions when the atom and field are prepared in an excited and squeezed state, respectively. The non-classical properties of the field initially in the squeezed coherent states based on the evolution of the second-order correlation function. The study of entanglement between parts of a quantum system is done through the von Neumann entropy. We analyze the effect of the squeeze and detuning parameters on the dynamics of some field aspects and non-local correlation. The results obtained from this study show that the detuning parameter has an essential impact on the field properties.
The temporal evolution of quantum statistical properties of an interacting atom–radiation field system in the presence of a classical homogeneous gravitational field is investigated within the framework of the Jaynes–Cummings model. To analyse the dynamical evolution of the atom–radiation system a quantum treatment of the internal and external dynamics of the atom is presented based on an alternative su(2) dynamical algebraic structure. By solving the Schrödinger equation in the interaction picture, the evolving state of the system is found by which the influence of the gravitational field on the dynamical behaviour of the atom–radiation system is explored. Assuming that initially the radiation field is prepared in a coherent state and the two-level atom is in a coherent superposition of the excited and ground states, the influence of gravity on the collapses and revivals of the atomic population inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting statistics and quadrature squeezing of the radiation field is studied.
We assume that an N -level moving atom interacts with an ( N − 1) mode electromagnetic cavity field. The model includes the detuning and the intensity-dependent coupling. The constants of motion and the wave function for the atomic system is obtained. Some statistical aspects of the considered atomic system such as momentum increment and momentum diffusion have been calculated. The influence of the initial mean photon number, the detuning parameter and the intensity dependent coupling on the momentum increment are investigated when the atom is initially in excited state and the field is in a squeezed state. It is found that the momentum of the atom is unchanged for large initial mean photon number.
We study the interaction of a three-level atom with a one-mode cavity field in the presence of a Kerr-like medium. The atom is initially prepared in a momentum eigenstate and the field in the squeezed state. We obtain the constants of motion and the wavefunction for the atomic system of Λ-configuration. Also, we calculate the momentum increment, the momentum diffusion and the field entropy. The analytic results are employed to perform some investigations of the temporal evolution of the momentum increment and the field entropy. The effect of the detuning and the Kerr-like medium is analysed. The results show that the effect of the detuning and/or the Kerr-like medium changes the quasi-period of both the momentum increment and the field entropy evolution and entanglement between the atom and the field. Conclusions and discussion are given and illustrated by numerical results.