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

Chinese Physics Letters

Dynamical Algebraic Approach to the Modified Jaynes-Cummings Model

Jing‐Bo Xu, Xu‐Bo Zou

Published Dec 13, 2000• 11 citations
Publisher

Abstract

The modified Jaynes-Cummings model of a single two-level atom placed in the common domain of two cavities or interacting with two quantized modes is studied by a dynamical algebraic method. With the help of an SU(2) algebraic structure, we then obtain the eigenvalues, eigenstates, time evolution operator and atomic inversion operator for the system. We managed to investigate the modified Jaynes-Cummings model governed by the Milburn equation and present the exact solution of the Milburn equation. PACS: 42. 50. -p, 32. 80. -t, 02. 20. -a, 03. 65. Fd

DOI
10.1088/0256-307x/18/1/318

Related papers

Exact Solution of the Milburn Equation for the Two-Mode Two-Photon Jaynes–Cummings Model

Xu‐Bo Zou, Yu Ji-Hua, Jing‐Bo Xu

We adopt an algebraic method to study the two-mode two-photon Jaynes–Cummings model governed by the Milburn equation and find an exact solution of Milburn equation of the system. The influence of the intrinsic decoherence on the nonclassical effects of the system is also discussed.

Communications in Theoretical Physics•Jan 15, 2001•0 citations

Exact Solution of the Milburn Equation for the Two—Mode Two—Photon Jaynes—Cummings Model

ZOUXu-Bo, YUJi-Hua

We adopt an algebraic method to study the two-mode two-photon Jaynes Cummings model governed by the Milburn equation and find an exact solution of Milburn equation of the system. The influence of the intrinsic decoherence on the nonclassical effects of the system is also discussed.``

理论物理通讯：英文版•Jan 1, 2001•0 citations

Dynamic algebraic approach to the system of a three-level atom in the Λ configuration

Jing‐Bo Xu, Xu‐Bo Zou

The system of a three-level atom coupled to two quantized field modes with arbitrary detuning and density-dependent multiphoton interaction is studied by a dynamical algebraic method. We find an alternative su(3) dynamical algebraic structure within the system. Based on this su(3) structure, we diagonalize the Hamiltonian by making use of unitary transformations and obtain the eigenvalues, eigenstates, and time evolution operator for the system. The effective two-level Hamiltonian is also derived by unitary transformation. Finally the system governed by the Milburn equation is discussed and the exact solution of the Milburn equation presented.

Physical Review A•Dec 1, 1999•57 citations

The two—atom Jaynes—Cummings model‘’s dynamic properties

QUJun, GAOXiao-ming, Liangjun +3 more

The model of two two-level atoms interact with a single-mode cavity was investigated. The formulation of the time evolution operator for the two-atom Jaynes-Cummings model is pressented by the bare-states approach. Besides, the time evolution of the two-atom common population probabilities is studied, and some novel features are obtained.

原子与分子物理学报•Jan 1, 2003•0 citations

The damped Jaynes–Cummings model

Stephen Mark Barnett, John Jeffers

The dynamics of the much studied Jaynes–Cummings model, of a single two-level atom interacting with a single quantized field mode, is simple to solve for because the number of quanta in the system is strictly conserved. Including the effects of cavity damping makes the model significantly more difficult to treat. Here we present a simple derivation of the evolution of the atomic inversion in the presence of cavity damping. This will enable us to explain the physical meaning of the solution, first derived more than 20 years ago, and also to show that it is valid for much stronger damping than was appreciated at that time.

Journal of Modern Optics•Sep 10, 2007•18 citations

Photon statistical properties of the cavity field in the two—atom Jaynes—Cummings model

Liangjun, WANGKai-ge

The model that two two-level atoms interact with a singel-mode cavity is studied. The exact solution of the time evolution operator for the two-atom Jaynes-Cummings model is presented by the bare-states approach. Furthermore, we investigate the dynamical properties of the photon statistics of the cavity field, and obtain a number of novel features.

原子与分子物理学报•Jan 1, 2001•0 citations
The modified Jaynes-Cummings model of a single two-level atom placed in the common domain of two cavities or interacting with two quantized modes is studied by a dynamical algebraic method. With the help of an SU(2) algebraic structure, we then obtain the eigenvalues, eigenstates, time evolution operator and atomic inversion operator for the system. We managed to investigate the modified Jaynes-Cummings model governed by the Milburn equation and present the exact solution of the Milburn equation. PACS: 42. 50. -p, 32. 80. -t, 02. 20. -a, 03. 65. Fd
The system of a three-level atom coupled to two quantized field modes with arbitrary detuning and density-dependent multiphoton interaction is studied by a dynamical algebraic method. We find an alternative su(3) dynamical algebraic structure within the system. Based on this su(3) structure, we diagonalize the Hamiltonian by making use of unitary transformations and obtain the eigenvalues, eigenstates, and time evolution operator for the system. The effective two-level Hamiltonian is also derived by unitary transformation. Finally the system governed by the Milburn equation is discussed and the exact solution of the Milburn equation presented.
The dynamics of the much studied Jaynes–Cummings model, of a single two-level atom interacting with a single quantized field mode, is simple to solve for because the number of quanta in the system is strictly conserved. Including the effects of cavity damping makes the model significantly more difficult to treat. Here we present a simple derivation of the evolution of the atomic inversion in the presence of cavity damping. This will enable us to explain the physical meaning of the solution, first derived more than 20 years ago, and also to show that it is valid for much stronger damping than was appreciated at that time.