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

Brazilian Journal of Physics

Effectiveness of Nonlinear Kerr Medium in Statistical Measurements of $$\mathfrak {X}$$-type Five-Level Atom and Two Quantum Systems

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

Published Apr 22, 2025• 0 citations
Publisher
DOI
10.1007/s13538-025-01758-1

Related papers

The Dynamics of a Five-level (Double Λ)-type Atom Interacting with Two-mode Field in a Cross Kerr-like Medium

A.‐S. F. Obada, M. M. A. Ahmed, Ahmed M. Farouk

International Journal of Theoretical Physics•Jan 3, 2018•8 citations

Quantum fisher information of N-level atoms under the influence of the nonlinear Kerr medium and intrinsic dechorence

Syed Jamal Anwar, Muhammad Asif Ramzan, Majid Khan

Indian Journal of Physics•Dec 26, 2022•0 citations

A double Λ-five-level moving atom interacting with a two-mode field in the presence of damping and nonlinear Kerr medium

Ahmed Salah, Lamia E. Thabet, Tarek M. El-Shahat +2 more

In this paper, we present the interaction between a five-level [Formula: see text]-configuration atom and a two-mode quantized field in the presence of the damping with the nonlinearity. According to the generalized nonlinear Jaynes–Cummings model (JCM) and the analytical solution of the Schrödinger equation, the general formula of the wave function for this system under special conditions, where the atom (the field) is initially prepared in the excited state (coherent state), has been found. Under some particular conditions, the five-level [Formula: see text]-type atom can be reduced to the three-level [Formula: see text]-type atom. Some physical aspects of the atom-field entangled state showing the entanglement degree, such as the field entropy. Moreover, we evaluate some of their non-classical statistical aspects such as atomic inversion. The effects of the physical parameters such as a Kerr medium, detuning parameter and the intensity-dependent coupling on the temporal behavior of the latter mentioned non-classical statistical aspects have been explored. We show that by choosing the evolved parameters in the interaction process, each of the above non-classical statistical features can be treated. We found that the parameters have an important influence on the properties of these phenomena.

Modern Physics Letters A•Feb 20, 2022•6 citations

Statistical estimations of a five-level atom influenced by a two-mode field and nonlinear Kerr medium

Abdallah A. Nahla, M. M. A. Ahmed, Faizah T. Alamri

The nonclassical behavior of the optical model has important applications in numerous quantum information fields. The suggested optical model in this study is based on a five-level atom (5LA) influenced by a two-mode quantized field (2MQF) inside a high-Q cavity that is filled with three types of nonlinear Kerr media. The nonlinear optical model has been solved analytically in which the components of this optical model are in perfect resonance. By considering the initial state of 5LA is in the upper state (excited state), whilst the initial state of 2MQF is in the coherent state. Some useful statistical measurements such as population inversion, Shannon entropy, second-order correlation, as well as Cauchy–Schwarz inequality that corresponds to P-functions are studied and discussed. The effects of the Kerr parameters on these statistical measurements are analyzed. All proposed statistical measurements confirm the existence of nonclassical behavior with time except for some small-time intervals.

Alexandria Engineering Journal•May 10, 2024•3 citations

Nonlinear Photon-Added Displaced Kerr States and Their Statistical Properties

Gholamreza Lashkarivand, Gholamreza Honarasa, Hasan Pakarzadeh

انجمن اپتیک و فوتونیک ایران•Mar 10, 2018•0 citations

Effect of Stark- and Kerr-like medium on the entanglement dynamics of two three-level atomic systems

Syed Jamal Anwar, Muhammad Asif Ramzan, Majid Khan

Quantum Information Processing•May 13, 2019•17 citations
Effectiveness of Nonlinear Kerr Medium in Statistical Measurements of X\mathfrak {X}X-type Five-Level Atom and Two Quantum Systems
In this paper, we present the interaction between a five-level [Formula: see text]-configuration atom and a two-mode quantized field in the presence of the damping with the nonlinearity. According to the generalized nonlinear Jaynes–Cummings model (JCM) and the analytical solution of the Schrödinger equation, the general formula of the wave function for this system under special conditions, where the atom (the field) is initially prepared in the excited state (coherent state), has been found. Under some particular conditions, the five-level [Formula: see text]-type atom can be reduced to the three-level [Formula: see text]-type atom. Some physical aspects of the atom-field entangled state showing the entanglement degree, such as the field entropy. Moreover, we evaluate some of their non-classical statistical aspects such as atomic inversion. The effects of the physical parameters such as a Kerr medium, detuning parameter and the intensity-dependent coupling on the temporal behavior of the latter mentioned non-classical statistical aspects have been explored. We show that by choosing the evolved parameters in the interaction process, each of the above non-classical statistical features can be treated. We found that the parameters have an important influence on the properties of these phenomena.
The nonclassical behavior of the optical model has important applications in numerous quantum information fields. The suggested optical model in this study is based on a five-level atom (5LA) influenced by a two-mode quantized field (2MQF) inside a high-Q cavity that is filled with three types of nonlinear Kerr media. The nonlinear optical model has been solved analytically in which the components of this optical model are in perfect resonance. By considering the initial state of 5LA is in the upper state (excited state), whilst the initial state of 2MQF is in the coherent state. Some useful statistical measurements such as population inversion, Shannon entropy, second-order correlation, as well as Cauchy–Schwarz inequality that corresponds to P-functions are studied and discussed. The effects of the Kerr parameters on these statistical measurements are analyzed. All proposed statistical measurements confirm the existence of nonclassical behavior with time except for some small-time intervals.