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

The European Physical Journal D

Atomic coherent states studied by virtue of the EPR entangled state and their Wigner functions

Hong-Yi Fan, Jintong Chen

Published Jun 1, 2003• 15 citations
Publisher
DOI
10.1140/epjd/e2003-00070-4

Related papers

Entanglement Involved in Pair Coherent State Studied via Wigner Function Formalism

H. Hu, Liyun Liyun, Fan Fan +1 more

理论物理通讯:英文版•Jan 1, 2009•0 citations

Wave function for the squeezed atomic coherent state in entangled state representation and some of its applications

Ji‐Suo Wang, Meng Xiang-Guo, Liang Bao-Long

Based on the Einstein, Podolsky, and Rosen (EPR) entangled state representation, this paper introduces the wave function for the squeezed atomic coherent state (SACS), which turns out to be just proportional to a single-variable ordinary Hermite polynomial of order 2 j. As important applications of the wave function, the Wigner function of the SACS and its marginal distribution are obtained and the eigenproblems of some Hamiltonians for the generalized angular momentum system are solved.

Chinese Physics B•Jan 1, 2010•14 citations

Coherent State Formulation of the Weyl Correspondence and the Wigner Function

Fan Hong-Yi, Ruan Tu-Nan

We point out that there is a close connection between the Weyl correspondence and coherent state correspondence. By virtue of differential and integral method within normal ordered products we demonstrate that the essence of the Weyl correspondence is just coherent state correspondence in both boson and fermion cases. Furthermore, coherent state form and explicit operator form for the Wigner function are given. With these forms we can derive some important operator formulas from the Weyl correspondence. The Wigner function's zero-point value is also discussed.

Communications in Theoretical Physics•Nov 1, 1983•48 citations

Atomic Coherent States in Quantum Optics

F. T. Arecchi, E. Courtens, Robert Gilmore +1 more

Springer eBooks•Jan 1, 1973•210 citations

Entangled coherent states and their decoherence properties

Osamu Hirota, Genta Masada

•Jan 1, 2006•0 citations

The complex fractional Fourier transform, the complex Wigner transform and the entangled Wigner operator in EPR entangled state representation

Nanrun Zhou, Liyun Hu, Hong-Yi Fan

Based on the Einstein–Podolsky–Rosen (EPR) entangled state representation, we show that the complex Wigner transform for the complex function ψ(η) turns out to be the quantum statistical average of the entangled Wigner operator in the state |ψ⟩. The complex fractional Fourier transform is also introduced, which corresponds to a rotation of the complex Wigner function. Thus, the intrinsic relation between the complex Wigner transform and the EPR entangled state is revealed.

Physica Scripta•Aug 22, 2008•4 citations
We point out that there is a close connection between the Weyl correspondence and coherent state correspondence. By virtue of differential and integral method within normal ordered products we demonstrate that the essence of the Weyl correspondence is just coherent state correspondence in both boson and fermion cases. Furthermore, coherent state form and explicit operator form for the Wigner function are given. With these forms we can derive some important operator formulas from the Weyl correspondence. The Wigner function's zero-point value is also discussed.