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

Alexandria Engineering Journal

Quantum scheme for N-level atom interacting with a two two-level atom: Atomic Fisher information and entropy squeezing

Eman M. A. Hilal, Sadah Abdullah Alkhateeb, S. Abdel‐Khalek, Eied Mahmoud Khalil, Amjaad A. Almowalled

Published Feb 26, 2020• 9 citations
Publisher

Abstract

In this work, we introduce a model of a two-atom interacting with a multi-level atom governed by su(2) Lie algebra in the presence of external classical field. The influence of the classical field on the system is discussed in detail for certain values for the classical terms. The atomic density matrix of the proposed system is obtained. The dynamical behavior of the atomic Fisher information as an indicator of the nonlocal correlation between a two-atom and su(2) field is discussed. Moreover, we examine the effect of classical field on the evolution of entropy squeezing and the geometric phase induced between the initial and final state of the proposed system. The results outlined some important phenomena as sudden death and sudden birth of entanglement in presence of the classical terms is observed through the dynamics of atomic Fisher information in the presence of classical field for the large number of levels.

DOI
10.1016/j.aej.2020.02.018

Related papers

Influence of classical field on entanglement and photon statistics of n-level atom interacting with a two two-level atom

Hammad Alotaibi, Eied Mahmoud Khalil, S. Abdel‐Khalek +1 more

In this study, we consider three interacting atoms, one of them represented by N-level atom based on SU(2) Lie algebra and the other represented by a two two-level atom in presence of the external field. The effect of the external field on the dynamics of the proposed system is discussed in detail for certain values for the external field. The dynamical expression of the observable operators is obtained by using the Heisenberg equation of motion. The general solution via solving Schrodinger equation is obtained. The fidelity and concurrence formula as a measure of entanglement between two two-level atom are calculated and discussed in detail. We explore the sudden death and sudden birth phenomena with and without the presence of external field. Finally, we compare the results of the fidelity, concurrence and second-order correlation function for some values of the initial state and the external field parameters.

Thermal Science•Jan 1, 2020•2 citations

Information Entropy Squeezing and Non-local Correlation Between a Two-Level Atom and Two-Mode Field Under the Classical Field Effect

Eied Mahmoud Khalil, S. Abdel‐Khalek, Waad Albogami +3 more

This paper examines the squeezing on information entropy and entanglement on the basis of a quantum scheme contains two-mode interaction with time dependence of a two-level atom included external field. The proposed model is formulated by eliminating the external field after applying a certain transformation. The dynamics of information entropy squeezing and nonlocal correlation information for the system Hamiltonian are investigated. The influence of the classical field on the evolution of the squeezing and entanglement are estimated. Through the results will obtain the dynamic behavior of squeezing and entanglement is controlled using the external field.

Frontiers in Physics•Sep 22, 2020•0 citations

Two-level atom and quantum system entanglement and squeezing with and without classical field and damping effects

Eied Mahmoud Khalil, S. Abdel‐Khalek, S. Al‐Awfi +1 more

In this article, we study the entropy squeezing and the nonlocal correlation between a nonlinear quantum system initially in the BGS (Barut-Girardello state) and 2LA (two-level atom). The numerical solution is used for solving the differential equations to obtain the density matrix. The relation between the atomic inversion, nonlocal correlation measured by the negativity and entropy are discussed. The effective of classical field and damping on the dynamical properties of the entanglement and entropy squeezing is examined. The results are shown that a high amount of classical field due to the entanglement reached to minimum values. Finally the proposed quantum system being more resistant to the damping effect in the absence of classical field than the presence of classical field.

Journal of Intelligent & Fuzzy Systems•Dec 30, 2019•1 citation

Linear entropy and squeezing of the interaction between two quantum system described by su (1, 1) and su(2) Lie group in presence of two external terms

M. Sebawe Abdalla, Eied Mahmoud Khalil, A.‐S. F. Obada +2 more

A Hamiltonian, that describes the interaction between a two-level atom (su(2) algebra) and a system governed by su(1,1) Lie algebra besides two external interaction, is considered. Two canonical transformations are used, which results into removing the external terms and changing the frequencies of the interacting systems. The solution of the equations of motion of the operators is obtained and used to discuss the atomic inversion, entanglement, squeezing and correlation functions of the present system. Initially the atom is considered to be in the excited state while the other systems is in the Perelomov coherent state. Effects of the variations in the coupling parameters to the external systems are considered. They are found to be sensitive to changing entanglement, variance and entropy squeezing.

AIP Advances•Jan 1, 2017•25 citations

Influence of the dissipation on the N-level atom interacting with a two two-level atoms in presence of qubit–qubit interaction

S. Abdel‐Khalek, Hashim M. Alshehri, Eied Mahmoud Khalil +1 more

The interacting of two qubits and an N-level atom based on su(2) Lie algebra in the presence of both qubit-qubit interaction and dissipation term is considered. The effects of the qubit-qubit interaction and the dissipation term on the dynamics of the proposed system are discussed in detail for certain values of the number of levels. The dynamical expressions of the observable operators are obtained using the Heisenberg equation of motion. The population inversion and linear entropy, as well as the concurrence formula as a measure of entanglement between the two qubits are calculated and discussed. The roles of the number of levels, the qubit-qubit coupling parameter and the dissipation rate on these quantities are also discussed. We explore the sudden birth and sudden death of the entanglement phenomena with and without the dissipation term.

Scientific Reports•Apr 1, 2021•1 citation

Entropy squeezing and atomic Wehrl density for the interaction between SU(1,1) Lie algebra and a three-level atom in presence of laser field

A.‐S. F. Obada, Nawal A. Alshehri, Eied Mahmoud Khalil +2 more

In this paper, we investigate a system Hamiltonian describing the interaction between SU(1,1) quantum system and a three-level atom in Λ configuration in presence of a classical external field. Appropriate conical transformations are performed for the atom matrices. The analytical solution of the model is obtained by using the Schrödinger equation. Then the atomic density operator of the proposed system is obtained. The effect of the detuning parameter and the classical external field on the atomic levels occupation, atomic entropy squeezing, variance squeezing, atomic Q-function and atomic Wehrl density are investigated for certain chosen values of the classical field parameter and the detuning parameter. The obtained results has a potential applications to topics related to ideal and real laser.

Results in Physics•Sep 13, 2021•14 citations
In this work, we introduce a model of a two-atom interacting with a multi-level atom governed by su(2) Lie algebra in the presence of external classical field. The influence of the classical field on the system is discussed in detail for certain values for the classical terms. The atomic density matrix of the proposed system is obtained. The dynamical behavior of the atomic Fisher information as an indicator of the nonlocal correlation between a two-atom and su(2) field is discussed. Moreover, we examine the effect of classical field on the evolution of entropy squeezing and the geometric phase induced between the initial and final state of the proposed system. The results outlined some important phenomena as sudden death and sudden birth of entanglement in presence of the classical terms is observed through the dynamics of atomic Fisher information in the presence of classical field for the large number of levels.
In this study, we consider three interacting atoms, one of them represented by N-level atom based on SU(2) Lie algebra and the other represented by a two two-level atom in presence of the external field. The effect of the external field on the dynamics of the proposed system is discussed in detail for certain values for the external field. The dynamical expression of the observable operators is obtained by using the Heisenberg equation of motion. The general solution via solving Schrodinger equation is obtained. The fidelity and concurrence formula as a measure of entanglement between two two-level atom are calculated and discussed in detail. We explore the sudden death and sudden birth phenomena with and without the presence of external field. Finally, we compare the results of the fidelity, concurrence and second-order correlation function for some values of the initial state and the external field parameters.
This paper examines the squeezing on information entropy and entanglement on the basis of a quantum scheme contains two-mode interaction with time dependence of a two-level atom included external field. The proposed model is formulated by eliminating the external field after applying a certain transformation. The dynamics of information entropy squeezing and nonlocal correlation information for the system Hamiltonian are investigated. The influence of the classical field on the evolution of the squeezing and entanglement are estimated. Through the results will obtain the dynamic behavior of squeezing and entanglement is controlled using the external field.
In this article, we study the entropy squeezing and the nonlocal correlation between a nonlinear quantum system initially in the BGS (Barut-Girardello state) and 2LA (two-level atom). The numerical solution is used for solving the differential equations to obtain the density matrix. The relation between the atomic inversion, nonlocal correlation measured by the negativity and entropy are discussed. The effective of classical field and damping on the dynamical properties of the entanglement and entropy squeezing is examined. The results are shown that a high amount of classical field due to the entanglement reached to minimum values. Finally the proposed quantum system being more resistant to the damping effect in the absence of classical field than the presence of classical field.
A Hamiltonian, that describes the interaction between a two-level atom (su(2) algebra) and a system governed by su(1,1) Lie algebra besides two external interaction, is considered. Two canonical transformations are used, which results into removing the external terms and changing the frequencies of the interacting systems. The solution of the equations of motion of the operators is obtained and used to discuss the atomic inversion, entanglement, squeezing and correlation functions of the present system. Initially the atom is considered to be in the excited state while the other systems is in the Perelomov coherent state. Effects of the variations in the coupling parameters to the external systems are considered. They are found to be sensitive to changing entanglement, variance and entropy squeezing.
The interacting of two qubits and an N-level atom based on su(2) Lie algebra in the presence of both qubit-qubit interaction and dissipation term is considered. The effects of the qubit-qubit interaction and the dissipation term on the dynamics of the proposed system are discussed in detail for certain values of the number of levels. The dynamical expressions of the observable operators are obtained using the Heisenberg equation of motion. The population inversion and linear entropy, as well as the concurrence formula as a measure of entanglement between the two qubits are calculated and discussed. The roles of the number of levels, the qubit-qubit coupling parameter and the dissipation rate on these quantities are also discussed. We explore the sudden birth and sudden death of the entanglement phenomena with and without the dissipation term.
In this paper, we investigate a system Hamiltonian describing the interaction between SU(1,1) quantum system and a three-level atom in Λ configuration in presence of a classical external field. Appropriate conical transformations are performed for the atom matrices. The analytical solution of the model is obtained by using the Schrödinger equation. Then the atomic density operator of the proposed system is obtained. The effect of the detuning parameter and the classical external field on the atomic levels occupation, atomic entropy squeezing, variance squeezing, atomic Q-function and atomic Wehrl density are investigated for certain chosen values of the classical field parameter and the detuning parameter. The obtained results has a potential applications to topics related to ideal and real laser.