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

理论物理通讯：英文版

The Exact Solution of MJilburn Equation Without Diffusion Approximation for the Two—Model Raman Coupled Model

XUJing-Bo, ZOUXu-Bo

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

By madking use of the dynamical algebraic approach,we study the two-mode Raman coupled model governed by the Milburn equation and find the exact solution of the Milburn equation without diffusion approximation.The exact solution is then used to discuss the influence of intrinsic decoherence on the revivals of atomic inversion,oscillation of the photon number distribution and squeezing of radiation field in the whole ranges of the decoherence parameter γ.

Related papers

The Exact Solution of Milburn Equation Without Diffusion Approximation for the Two-Model Raman Coupled Model

Jing‐Bo Xu, Xu‐Bo Zou, Gao Xiao-Chun +1 more

By making use of the dynamical algebraic approach, we study the two-mode Raman coupled model governed by the Milburn equation and find the exact solution of the Milburn equation without diffusion approximation. The exact solution is then used to discuss the influence of intrinsic decoherence on the revivals of atomic inversion, oscillation of the photon number distribution and squeezing of radiation field in the whole ranges of the decoherence parameter .

Communications in Theoretical Physics•Jun 15, 2002•2 citations

Influence of Intrinsic Decoherence on Nonclassical Effects of System of a Three-Level Atom in Ξ Configuration

Jing‐Bo Xu, Xu‐Bo Zou, Gao Xiao-Chun +1 more

With the help of an SU(3) dynamical algebraic structure, we find an exact solution of the Milburn equation for the system of a three-level atom in the Ξ configuration interacting with one quantized field mode with arbitrary detuning. The exact solution is then used to discuss the influence of the intrinsic decoherence on the nonclassical properties of the system, such as collapes and revivals of the atomic populations, oscillations of the photon number distribution, and squeezing of the radiation field.

Communications in Theoretical Physics•Aug 15, 2004•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

Influence of Intrinsic Decoherence on Nonclassical Effects of System of a Three-LevelAtom in [1] Configuration

XUJing-Bo, ZOUXu-Bo, GAOXiao-Chun +1 more

With the help of an SU(3) dynamicalalgebraic structure, we ~nd an exact solutionof the Milburn equationfor the system of a three-levelatom in the [1] configuration interacting with one quantized field mode with arbitrary detuning ,The exact solution is then used to discuss the influence of the intrinsic decoherence on the nonclassical properties of the system,such as collapes and revivals of the atomic populations,oscillations of the photon number distribution,and squeezing of the radiation field.

理论物理通讯：英文版•Jan 1, 2004•0 citations

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

Decoherence described by Milburn's theory for the two-photon Jaynes-Cummings model with stark shift

Xin Chen, Le‐Man Kuang, Mo‐Lin Ge

The Milburn equation without diffusion approximation is solved exactly for the two-photon Jaynes-Cummings model in the presence of Stark shift. This allows the study of the decoherence problem in the whole range of the decoherence parameter gamma . The influence of decoherence on atomic inversion is studied. The dynamical behaviour is adjusted in the presence of Stark shift. It is shown that even in the presence of Stark shift the revivals of atomic inversion are destroyed in the decoherence process.

Journal of Physics A Mathematical and General•May 7, 1995•1 citation
By madking use of the dynamical algebraic approach,we study the two-mode Raman coupled model governed by the Milburn equation and find the exact solution of the Milburn equation without diffusion approximation.The exact solution is then used to discuss the influence of intrinsic decoherence on the revivals of atomic inversion,oscillation of the photon number distribution and squeezing of radiation field in the whole ranges of the decoherence parameter γ.
With the help of an SU(3) dynamical algebraic structure, we find an exact solution of the Milburn equation for the system of a three-level atom in the Ξ configuration interacting with one quantized field mode with arbitrary detuning. The exact solution is then used to discuss the influence of the intrinsic decoherence on the nonclassical properties of the system, such as collapes and revivals of the atomic populations, oscillations of the photon number distribution, and squeezing of the radiation field.
With the help of an SU(3) dynamicalalgebraic structure, we ~nd an exact solutionof the Milburn equationfor the system of a three-levelatom in the [1] configuration interacting with one quantized field mode with arbitrary detuning ,The exact solution is then used to discuss the influence of the intrinsic decoherence on the nonclassical properties of the system,such as collapes and revivals of the atomic populations,oscillations of the photon number distribution,and squeezing of the radiation field.
The Milburn equation without diffusion approximation is solved exactly for the two-photon Jaynes-Cummings model in the presence of Stark shift. This allows the study of the decoherence problem in the whole range of the decoherence parameter gamma . The influence of decoherence on atomic inversion is studied. The dynamical behaviour is adjusted in the presence of Stark shift. It is shown that even in the presence of Stark shift the revivals of atomic inversion are destroyed in the decoherence process.