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

Entropy

Quantum Quantifiers for an Atom System Interacting with a Quantum Field Based on Pseudoharmonic Oscillator States

Bahaaudin Mohammadnoor Raffah, K. Berrada

Published Aug 16, 2018• 4 citations
Publisher

Abstract

We develop a useful model considering an atom-field system interaction in the framework of pseudoharmonic oscillators. We examine qualitatively the different physical quantities for a two-level atom (TLA) system interacting with a quantized coherent field in the context of photon-added coherent states of pseudoharmonic oscillators. Using these coherent states, we solve the model that exhibits the interaction between the TLA and field associated with these kinds of potentials. We analyze the temporal evolution of the entanglement, statistical properties, geometric phase and squeezing entropies. Finally, we show the relationship between the physical quantities and their dynamics in terms of the physical parameters.

DOI
10.3390/e20080607

Related papers

Nonclassical and nonlocal properties of atom-field systems in the framework of Pöschl-Teller potentials

Bahaaudin Mohammadnoor Raffah, K. Berrada

We study the nonclassical and nonlocal properties for atom-field systems in the context of Pöschl-Teller potential. Using the coherent states for Pöschl-Teller potentials, we propose a Jaynes Cummings model that characterizes the interaction among two-level atoms and fields with this kind of potential. After solving the motion equation, we examine the dynamical change of atomic inversion, entanglement, fidelity, and squeezing phenomenon with respect to initial parameter values. We show how the quantities can be controlled through the proper choice of the potential parameters. Finally, we give the connection among the quantum quantifiers for both whole system and subsystems during the evolution.

Results in Physics•Mar 5, 2019•1 citation

Quantum correlations between each two-level system in a pair of atoms and general coherent fields

S. Abdel‐Khalek, K. Berrada, Sadah Abdullah Alkhateeb

The quantitative description of the quantum correlations between each two-level system in a two-atom system and the coherent fields initially defined in a coherent state in the framework of power-law potentials (PLPCSs) is considered. Specifically, we consider two atoms locally interacting with PLPCSs and take into account the different terms of interactions, the entanglement and quantum discord are studied including the time-dependent coupling and photon transition effects. Using the monogamic relation between the entanglement of formation and quantum discord in tripartite systems, we show that the control and preservation of the different kinds of quantum correlations greatly benefit from the combination of the choice of the physical quantities. Finally, we explore the link between the dynamical behavior of quantum correlations and nonclassicality of the fields with and without atomic motion effect.

Results in Physics•Jan 1, 2016•12 citations

Quantum coherence and entanglement of the system of a five-level atom in the presence of nonlinear fields

Mariam Algarni, K. Berrada, S. Abdel‐Khalek +1 more

We investigate the atom-field system in the framework of harmonic oscillators based on deformed Heisenberg algebras. We explore the dynamic characteristics of the considered system under the effect of a nonlinear field. In particular, we consider the atomic population, atomic coherence, and atom-field entanglement for a system that comprises a single five-level atom interacting with a single-mode nonlinear field when the deformation effect is taken into account. We examine the time evolution of the quantum quantifiers in the presence of deformation when the initial state of the quantized field is defined to be a nonlinear coherent state (CS) or a superposition state.

Journal of the European Optical Society Rapid Publications•Jan 1, 2023•3 citations

Interaction of a Four-Level Atom with a Deformed Quantum Field: Mathematical Model and Quantum Resources

Mariam Algarni, S. Abdel‐Khalek, K. Berrada

We introduce a framework presenting the interaction between a four-level atom (F-LA) and a field mode that begins in a coherent state within the para-Bose field (P-BF). The F-LA is considered in a cascade configuration and initially prepared in the upper level. We display the system dynamics by solving the motion equation. We discuss various dynamical behaviors of fundamental quantum resources used in quantum optics and information tasks, including atomic population inversion, quantum entanglement (QE), and the statistical properties of the P-BF based on the parameters of the quantum model. In this context, we demonstrate the impact of various system parameters on these quantum resources. Finally, we illustrate the dynamic relationships among the quantum resources within the model.

Axioms•Mar 13, 2025•0 citations

Nonclassical properties of asymmetric two two-level atoms interacting with multi-photon quantized field

Abdallah A. Nahla, M. M. A. Ahmed

A quantum model for the interaction between asymmetric two two-level atoms and an electromagnetic field is presented. The [Formula: see text]-photon processes and atom–atom interaction are considered in this quantum model. The wavefunction for asymmetric case of the proposed model is obtained analytically. While, the explicit analytical formula of the wavefunction for symmetric case was calculated in previous works. Initially, the electromagnetic field is in the coherent state and two two-level atoms are identical in the excited states. For the proposed model, some statistical aspects are obtained, such as the linear entropy, atomic population inversion, entropy squeezing, atomic variance and von Neumann entropy. The evaluations of these statistical properties are discussed for the variation in the detuning parameters. Moreover, the nonclassical effects for atom–atom interaction are observed.

International Journal of Modern Physics B•Aug 14, 2018•11 citations

System of six-level atom interacting with a quantized field in the existence of time-varying coupling

Mariam Algarni, K. Berrada, S. Abdel‐Khalek +1 more

In the present manuscript, we extend the Jaynes-Cummings model in the framework of six-level atom (LA) system in the presence of a quantized field describes by an ordinary coherent state or a superposition state. We investigate the dynamics of the population, coherence and quantum entanglement in terms of the system parameters. We analyze the time variation of the quantifiers in the presence and absence of time-varying coupling of the six-LA–field system and make comparison among the quantifiers. Furthermore, we show how the quantifiers can be controlled according to the values of the system parameters. The obtained results illustrate that the proposed system provides interesting values of the quantum coherence and entanglement which can be considered as good candidates for executing quantum optics and information schemes.

Results in Physics•Jan 20, 2023•4 citations
We develop a useful model considering an atom-field system interaction in the framework of pseudoharmonic oscillators. We examine qualitatively the different physical quantities for a two-level atom (TLA) system interacting with a quantized coherent field in the context of photon-added coherent states of pseudoharmonic oscillators. Using these coherent states, we solve the model that exhibits the interaction between the TLA and field associated with these kinds of potentials. We analyze the temporal evolution of the entanglement, statistical properties, geometric phase and squeezing entropies. Finally, we show the relationship between the physical quantities and their dynamics in terms of the physical parameters.
We study the nonclassical and nonlocal properties for atom-field systems in the context of Pöschl-Teller potential. Using the coherent states for Pöschl-Teller potentials, we propose a Jaynes Cummings model that characterizes the interaction among two-level atoms and fields with this kind of potential. After solving the motion equation, we examine the dynamical change of atomic inversion, entanglement, fidelity, and squeezing phenomenon with respect to initial parameter values. We show how the quantities can be controlled through the proper choice of the potential parameters. Finally, we give the connection among the quantum quantifiers for both whole system and subsystems during the evolution.
The quantitative description of the quantum correlations between each two-level system in a two-atom system and the coherent fields initially defined in a coherent state in the framework of power-law potentials (PLPCSs) is considered. Specifically, we consider two atoms locally interacting with PLPCSs and take into account the different terms of interactions, the entanglement and quantum discord are studied including the time-dependent coupling and photon transition effects. Using the monogamic relation between the entanglement of formation and quantum discord in tripartite systems, we show that the control and preservation of the different kinds of quantum correlations greatly benefit from the combination of the choice of the physical quantities. Finally, we explore the link between the dynamical behavior of quantum correlations and nonclassicality of the fields with and without atomic motion effect.
We investigate the atom-field system in the framework of harmonic oscillators based on deformed Heisenberg algebras. We explore the dynamic characteristics of the considered system under the effect of a nonlinear field. In particular, we consider the atomic population, atomic coherence, and atom-field entanglement for a system that comprises a single five-level atom interacting with a single-mode nonlinear field when the deformation effect is taken into account. We examine the time evolution of the quantum quantifiers in the presence of deformation when the initial state of the quantized field is defined to be a nonlinear coherent state (CS) or a superposition state.
We introduce a framework presenting the interaction between a four-level atom (F-LA) and a field mode that begins in a coherent state within the para-Bose field (P-BF). The F-LA is considered in a cascade configuration and initially prepared in the upper level. We display the system dynamics by solving the motion equation. We discuss various dynamical behaviors of fundamental quantum resources used in quantum optics and information tasks, including atomic population inversion, quantum entanglement (QE), and the statistical properties of the P-BF based on the parameters of the quantum model. In this context, we demonstrate the impact of various system parameters on these quantum resources. Finally, we illustrate the dynamic relationships among the quantum resources within the model.
A quantum model for the interaction between asymmetric two two-level atoms and an electromagnetic field is presented. The [Formula: see text]-photon processes and atom–atom interaction are considered in this quantum model. The wavefunction for asymmetric case of the proposed model is obtained analytically. While, the explicit analytical formula of the wavefunction for symmetric case was calculated in previous works. Initially, the electromagnetic field is in the coherent state and two two-level atoms are identical in the excited states. For the proposed model, some statistical aspects are obtained, such as the linear entropy, atomic population inversion, entropy squeezing, atomic variance and von Neumann entropy. The evaluations of these statistical properties are discussed for the variation in the detuning parameters. Moreover, the nonclassical effects for atom–atom interaction are observed.
In the present manuscript, we extend the Jaynes-Cummings model in the framework of six-level atom (LA) system in the presence of a quantized field describes by an ordinary coherent state or a superposition state. We investigate the dynamics of the population, coherence and quantum entanglement in terms of the system parameters. We analyze the time variation of the quantifiers in the presence and absence of time-varying coupling of the six-LA–field system and make comparison among the quantifiers. Furthermore, we show how the quantifiers can be controlled according to the values of the system parameters. The obtained results illustrate that the proposed system provides interesting values of the quantum coherence and entanglement which can be considered as good candidates for executing quantum optics and information schemes.