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

Results in Physics

Influence of a non-linear interaction and Kerr medium on the emission spectrum and entropy squeezing of Su(1,1) algebra with single qubit

Maged Faihan Alotaibi

Published Jul 27, 2022• 2 citations
Publisher

Abstract

The interaction of a quantum algebraic system su(1,1) interacting with a qubit is studied. A nonlinear function has been added to interaction with the presence of Kerr medium (KM). The general solution is obtained using the constants of motion and Heisenberg equation for the time-evolution operator. The effects of the nonlinear function and KM on the emission spectrum and entropy squeezing are calculated. The results showed that the emission spectrum is affected by the nonlinear function. Symmetric peaks are generated around the vertical axis with increasing influence of the nonlinear function. By activating the role of the KM, the emission spectrum loses symmetry around the vertical axis and the maximum values decrease. Moreover, the KM reduces the squeezing intervals, while the squeezing intervals are improved by increasing the effect of the nonlinear function.

DOI
10.1016/j.rinp.2022.105823

Related papers

Quantum effect of the Kerr-like medium in terms of SU (1,1) Lie group in interaction with a two-level atom

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

In the present communication, we consider the problem of two quantum systems with the Kerr-like medium nonlinearity. The system is cast form of an interaction between two operators of the form su(1,1) Lie algebra and su(2) Lie algebra. We obtain the wave function via the evolution operator where we use the Heisenberg equations of motion to derive the constants of motion. We discuss the atomic inversion. It is found that the Kerr-like medium decreases the amplitude and increases the fluctuations. Also we consider different types of squeezing, it is shown that the entropy squeezing is pronounced in the second quadrature, but it shows a small amount in the first quadrature. For the variance squeezing, a small amount occurs in the presence of the Kerr-like medium. However, the normal squeezing occurs in the first quadrature where the squeezing is sensitive to both the Kerr-like medium parameter and the initial state. Furthermore, the degree of entanglement is examined through the linear entropy. It is shown that the function decreases besides rapid fluctuations. The correlation function displays nonclassical behavior in addition to an increase in the amplitude of the fluctuations.

Physica A Statistical Mechanics and its Applications•Sep 12, 2016•27 citations

Influence of a Non-Linear Interaction and Kerr Medium on the Emission Spectrum and Entropy Squeezing of Su(1,1) Algebra with Single Qubit

Maged Faihan Alotibi

•Jan 1, 2022•0 citations

A nonlinear interaction between SU(1,1) quantum system and a three-level atom in different configurations with damping term

A.‐S. F. Obada, M. M. A. Ahmed, Mohamed Abu-Shady +3 more

Abstract The effect of nonlinear medium and phase damping is investigated on an atom of three levels in different forms interacting with the SU(1,1) Lie algebra. The SU(1,1) system starts the interaction from the Perelomov coherent state, while the atom starts the interaction from excited-most state. The time dependent wave function is calculated by using the Schrödinger equation. The density matrix is obtained. The influences of damping, nonlinearity (Kerr-like medium), Perelomov coherent parameter and the Bargmann index on some non-classical properties, such as: revivals-collapses phenomenon, entanglement and atomic variables squeezing, are investigated.

Physica Scripta•Feb 1, 2021•8 citations

Influence of Kerr effect on atom emission spectra of nonlinear Jaynes-Cummings model

Gao Yun-feng

The atom emission spectra of a nonlinear Jaynes-Cummings model with an additional Kerr medium are investigated.The emission spectrum expression is derived.The numerical results for the initial field in pure number state,coherent state and squeezed vacuum state are calculated,respectively.The influences of Kerr effect and initial field intensity on the spectrum structure are discussed.It is found that Kerr medium affects the symmetry of the spectrum structure for all initial field states except vacuum.When the initial field is pure number state,all peaks of the spectra shift toward right and the left peak(s) rise and right peaks decline along with accretion of Kerr effect.When the initial field is coherent state,two complicated multi-peak structure each like an arched comb appears for strong field.The Kerr effect makes left peaks higher and right peaks lower.When the initial field is squeezed vacuum state,only left sideband appears.The peak-number of the sideband increases due to the accretion of the Kerr effect or the initial field intensity.

Journal of Atomic and Molecular Physics•Jan 1, 2007•0 citations

Phase space information in a non-linear quantum system containing a Kerr-like medium through Su(1, 1)-algebraic treatment

Abdel‐Baset A. Mohamed

Analytical description for a Su(2)-quantum system interacting with a damped Su(1, 1)-cavity, which is filled with a non-linear Kerr medium, is presented. The dynamics of non-classicality of Su(1, 1)-state is investigated via the negative part of the Wigner function. We show that the negative part depends on the unitary interaction and the Kerr-like medium and it can be disappeared by increasing the dissipation rate and the detuning parameter. The phase space information of the Husimi function and its Wehrl density is very sensitive not only to the coupling to the environment and the unitary interaction but also to the detuning as well as to the Kerr-like medium. The phase space information may be completely erased by increasing the coupling to the environment. The coherence loss of the Su(2)-state is investigated via the Husimi Wehrl entropy. If the effects of the detuning parameter or/and of the Kerr-like medium are combined with the damping effect, the damping effect of the coupling to the environment may be weaken, and the Wehrl entropy is delayed to reach its steady-state value. At the steady-state value, the phase space information and the coherence are quickly lost.

Journal of Modern Optics•Jan 17, 2018•1 citation

The Entropy Squeezing Properties in the Nonlinear Interaction Between Squeezing Vacuum State Field and Atom

Xiang-Ping Liao

The field entropy squeezing properties in the nonlinear interaction between squeezing vacuum state field and atom are studied by means of quantum information entropy theory. The influences of nonlinear interaction intensity of Kerr medium and the squeezing degree of initial squeezing vacuum state field on the entropy squeezing properties are discussed. The results show that the field entropy can be squeezed periodically without Kerr medium, and the nonlinear interaction intensity of Kerr medium can change the periodicities of evolution of the field entropy squeezing, the field may exhibit long-time entropy squeezing effect when the squeezing degree of initial squeezing vacuum state field is big ((r=5).)

Acta Sinica Quantum Optica•Jan 1, 2005•0 citations
The interaction of a quantum algebraic system su(1,1) interacting with a qubit is studied. A nonlinear function has been added to interaction with the presence of Kerr medium (KM). The general solution is obtained using the constants of motion and Heisenberg equation for the time-evolution operator. The effects of the nonlinear function and KM on the emission spectrum and entropy squeezing are calculated. The results showed that the emission spectrum is affected by the nonlinear function. Symmetric peaks are generated around the vertical axis with increasing influence of the nonlinear function. By activating the role of the KM, the emission spectrum loses symmetry around the vertical axis and the maximum values decrease. Moreover, the KM reduces the squeezing intervals, while the squeezing intervals are improved by increasing the effect of the nonlinear function.
In the present communication, we consider the problem of two quantum systems with the Kerr-like medium nonlinearity. The system is cast form of an interaction between two operators of the form su(1,1) Lie algebra and su(2) Lie algebra. We obtain the wave function via the evolution operator where we use the Heisenberg equations of motion to derive the constants of motion. We discuss the atomic inversion. It is found that the Kerr-like medium decreases the amplitude and increases the fluctuations. Also we consider different types of squeezing, it is shown that the entropy squeezing is pronounced in the second quadrature, but it shows a small amount in the first quadrature. For the variance squeezing, a small amount occurs in the presence of the Kerr-like medium. However, the normal squeezing occurs in the first quadrature where the squeezing is sensitive to both the Kerr-like medium parameter and the initial state. Furthermore, the degree of entanglement is examined through the linear entropy. It is shown that the function decreases besides rapid fluctuations. The correlation function displays nonclassical behavior in addition to an increase in the amplitude of the fluctuations.
Abstract The effect of nonlinear medium and phase damping is investigated on an atom of three levels in different forms interacting with the SU(1,1) Lie algebra. The SU(1,1) system starts the interaction from the Perelomov coherent state, while the atom starts the interaction from excited-most state. The time dependent wave function is calculated by using the Schrödinger equation. The density matrix is obtained. The influences of damping, nonlinearity (Kerr-like medium), Perelomov coherent parameter and the Bargmann index on some non-classical properties, such as: revivals-collapses phenomenon, entanglement and atomic variables squeezing, are investigated.
The atom emission spectra of a nonlinear Jaynes-Cummings model with an additional Kerr medium are investigated.The emission spectrum expression is derived.The numerical results for the initial field in pure number state,coherent state and squeezed vacuum state are calculated,respectively.The influences of Kerr effect and initial field intensity on the spectrum structure are discussed.It is found that Kerr medium affects the symmetry of the spectrum structure for all initial field states except vacuum.When the initial field is pure number state,all peaks of the spectra shift toward right and the left peak(s) rise and right peaks decline along with accretion of Kerr effect.When the initial field is coherent state,two complicated multi-peak structure each like an arched comb appears for strong field.The Kerr effect makes left peaks higher and right peaks lower.When the initial field is squeezed vacuum state,only left sideband appears.The peak-number of the sideband increases due to the accretion of the Kerr effect or the initial field intensity.
Analytical description for a Su(2)-quantum system interacting with a damped Su(1, 1)-cavity, which is filled with a non-linear Kerr medium, is presented. The dynamics of non-classicality of Su(1, 1)-state is investigated via the negative part of the Wigner function. We show that the negative part depends on the unitary interaction and the Kerr-like medium and it can be disappeared by increasing the dissipation rate and the detuning parameter. The phase space information of the Husimi function and its Wehrl density is very sensitive not only to the coupling to the environment and the unitary interaction but also to the detuning as well as to the Kerr-like medium. The phase space information may be completely erased by increasing the coupling to the environment. The coherence loss of the Su(2)-state is investigated via the Husimi Wehrl entropy. If the effects of the detuning parameter or/and of the Kerr-like medium are combined with the damping effect, the damping effect of the coupling to the environment may be weaken, and the Wehrl entropy is delayed to reach its steady-state value. At the steady-state value, the phase space information and the coherence are quickly lost.
The field entropy squeezing properties in the nonlinear interaction between squeezing vacuum state field and atom are studied by means of quantum information entropy theory. The influences of nonlinear interaction intensity of Kerr medium and the squeezing degree of initial squeezing vacuum state field on the entropy squeezing properties are discussed. The results show that the field entropy can be squeezed periodically without Kerr medium, and the nonlinear interaction intensity of Kerr medium can change the periodicities of evolution of the field entropy squeezing, the field may exhibit long-time entropy squeezing effect when the squeezing degree of initial squeezing vacuum state field is big ((r=5).)