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

Communications in Theoretical Physics

Pseudo-invariant Eigen-operator of a System About Three-Level Atom in Presence of a Kerr-Like Medium

Weijun Gui

Published Nov 1, 2008• 1 citation
Publisher

Abstract

A system of a three-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium is proposed, and its pseudo-invariant eigen-operator (PIEO) and energy-level gap are presented under one-order approximation.
DOI
10.1088/0253-6102/50/5/16

Related papers

Deriving Energy-Level Gap of a System in Presence of a Kerr-like Medium by Virtue of Invariant Eigen-operator Method

Weijun Gui, JIA-ZHANG GUI, Tang Gang

In this paper, we find the invariant eigen-operators (IEOs) and the energy-level gap of a system with a two-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium. From this work, one can see that the IEO method in many cases is simpler and easier on obtaining the energy-level gap formula than the usual way.

Communications in Theoretical Physics•Apr 1, 2006•1 citation

Pseudo-invariant Eigen-operator of a System About Three-Level Atom in Presence of a Kerr-Like Medium

Weijun

理论物理通讯：英文版•Jan 1, 2008•0 citations

INTENSITY DEPENDENT COUPLING HAMILTONIAN VIA MULTI-PHOTON INTERACTION IN A KERR MEDIUM

R. A. Zait

We study the dynamics and quantum characteristics of a single two-level atom interacting with a single mode cavity field undergoing a multi-photon processes in the presence of a nonlinear Kerr-like medium. The wavefunctions of the multi-photon system are obtained when the atom starts in the excited and in the ground state. The atomic inversion, the squeezing of the radiation field and the quasiprobability distribution Q-function of the field are discussed. Numerical results for these characteristics are presented when the atom starts in the excited state and the field mode in a coherent state. The influence of the presence and absence of the number operator and the Kerr medium for the one- and two-photon processes on the evolution of these characteristics are analyzed.

International Journal of Modern Physics B•Dec 10, 2003•6 citations

Invariant approach to the system of two-mode field interacting with two-level atom in a Kerr medium

Yu Wan‐Lun

Based on the Lewis-Riesenfeld invariant theory,we investigate repeatedly the system of a two-level atom interacting with two-mode field with arbitrary detuning in a high-Q cavity with Kerr medium.We obtain the general state vector and the time evolution operator as well as the evolution expressions of both the atomic inversion and the photon number for the system.

Journal of Atomic and Molecular Physics•Jan 1, 2006•0 citations

A Moving Three Level Lambda Rubidium Atom Interacting with a Single Mode Cavity Field in the Presence of Kerr Medium

Ahmed Salah, N. H. Abd El-Wahab

We study the interaction between a moving three-level lambda rubidium atom and a single mode cavity field in the presence of Kerr-like medium. We derive the basic equations of motion for atomic system and show that it is exactly solvable in the rotating wave approximation (RWA). The momentum increment, the momentum diffusion and the Mandel Q parameter of this system are studied. We investigate numerically the influence of Kerr-Like medium on the evolution of the previous statistical properties in the exact resonate and nonresonate case where the atom is initially prepared in a momentum eigenstate and the field in the squeezed state. It is found that the Kerr medium has an important effect on their evolution. Finally, conclusion and discussion are given.

arXiv:2209.00704•Sep 1, 2022•0 citations

Cavity Field Spectra of a Cascade Three-Level Atom Interacting with a Single-Mode Field with Kerr-Like Medium

Gao Yun-feng, Jian Feng, Zhang Gui-Ming

The cavity field spectrum of a cascade three-level atom interacting with single-mode field with Kerr-like medium in the cavity is investigated. The numerical results for the initial field in pure number state, coherent state and squeezed vacuum state are calculated, respectively. It is found that the Kerr-like medium affects the spectral structure even though the initial field is in vacuum when the atom is in upper level. In the case of strong input field, the number state spectrum shows two peaks with different heights; and the superposition state spectrum shows a multi-peak structure with an equal distance of two neighboring peaks. The spectral ``central frequency" shifts away from the resonant frequency with the increasing of average photon number.

Communications in Theoretical Physics•Jan 1, 2007•1 citation
We study the dynamics and quantum characteristics of a single two-level atom interacting with a single mode cavity field undergoing a multi-photon processes in the presence of a nonlinear Kerr-like medium. The wavefunctions of the multi-photon system are obtained when the atom starts in the excited and in the ground state. The atomic inversion, the squeezing of the radiation field and the quasiprobability distribution Q-function of the field are discussed. Numerical results for these characteristics are presented when the atom starts in the excited state and the field mode in a coherent state. The influence of the presence and absence of the number operator and the Kerr medium for the one- and two-photon processes on the evolution of these characteristics are analyzed.
We study the interaction between a moving three-level lambda rubidium atom and a single mode cavity field in the presence of Kerr-like medium. We derive the basic equations of motion for atomic system and show that it is exactly solvable in the rotating wave approximation (RWA). The momentum increment, the momentum diffusion and the Mandel Q parameter of this system are studied. We investigate numerically the influence of Kerr-Like medium on the evolution of the previous statistical properties in the exact resonate and nonresonate case where the atom is initially prepared in a momentum eigenstate and the field in the squeezed state. It is found that the Kerr medium has an important effect on their evolution. Finally, conclusion and discussion are given.
The cavity field spectrum of a cascade three-level atom interacting with single-mode field with Kerr-like medium in the cavity is investigated. The numerical results for the initial field in pure number state, coherent state and squeezed vacuum state are calculated, respectively. It is found that the Kerr-like medium affects the spectral structure even though the initial field is in vacuum when the atom is in upper level. In the case of strong input field, the number state spectrum shows two peaks with different heights; and the superposition state spectrum shows a multi-peak structure with an equal distance of two neighboring peaks. The spectral ``central frequency" shifts away from the resonant frequency with the increasing of average photon number.