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

Optics Communications

The solution of the fokker-planck equation with zero or negative diffusion coefficients in quantum optics

Weihan Tan, Yufang Li, Weiping Zhang

Published Oct 1, 1987• 7 citations
Publisher
DOI
10.1016/0030-4018(87)90052-6

Related papers

Generalized Fokker-Planck equation approach to optical parametric processes I. Equations of motion and their solutions

Vlasta Peřinová, Jan Peřina

Czechoslovak Journal of Physics•Nov 1, 1978•18 citations

THE FORMAL SOLUTIONS FOR FOKKER-PLANCK EQUATION WITH ZERO OR NEGATIVE DIFFUSION COEFFICIENTS AND THEIR APPLICATIONS TO QUANTUM OPTICS

TAN WEI-HAN, Yufang Li, Weiping Zhang +1 more

In this paper, the formal solutions for Fokker-Planck equation with zero or negative diffusion coefficients in quantum optics are given. Their applications to the generation of squeezed states via degenerate parametric amplification or degenerate four wave mixing and other problems are discussed.

Acta Physica Sinica•Jan 1, 1988•3 citations

Langevin equations with negative diffusion coefficients. A new approach to quantum optics

Horace P. Yuen, Paolo Tombesi

Optics Communications•Aug 1, 1986•15 citations

Dynamical ordering: Applications to Fokker-Planck equations

Arkadiusz Orłowski, Krzysztof Wódkiewicz

A transformation of the linear second-order Fokker-Planck equations occurring in quantum optics is presented which overcomes difficulties connected with negative definiteness of the diffusion matrices. This transformation is based on a dynamical ordering of quantum quasiprobability distribution functions. The ordering depends on the parameters of the dynamical problem under consideration. An algorithm leading to exact solutions of the dynamically ordered Fokker-Planck equations with arbitrary initial conditions is given, and simple criteria, how to recognize squeezed light in arbitrary ordering, are presented. The problem of Fokker-Planck equations with time-dependent diffusion is also investigated.

Physical Review A•Oct 1, 1994•2 citations

Generalized Fokker-Planck equation for quantum systems

V. G. Morozov

Theoretical and Mathematical Physics•Sep 1, 1981•5 citations

Dissipation and Diffusion of Quantum Light Field

H. C. Fan, Liyun Hu

Springer eBooks•Jan 1, 2025•0 citations
A transformation of the linear second-order Fokker-Planck equations occurring in quantum optics is presented which overcomes difficulties connected with negative definiteness of the diffusion matrices. This transformation is based on a dynamical ordering of quantum quasiprobability distribution functions. The ordering depends on the parameters of the dynamical problem under consideration. An algorithm leading to exact solutions of the dynamically ordered Fokker-Planck equations with arbitrary initial conditions is given, and simple criteria, how to recognize squeezed light in arbitrary ordering, are presented. The problem of Fokker-Planck equations with time-dependent diffusion is also investigated.