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

Quantum and Semiclassical Optics Journal of the European Optical Society Part B

Joint Wigner function for atom - field interactions

Attila Czirják, M. G. Benedict

Published Oct 1, 1996• 16 citations
Publisher

Abstract

We define a joint Wigner function to give a fully phase space description for the interacting system of the quantized electromagnetic field and two-level atoms. We give its equation of motion in the single-atom case using the Jaynes - Cummings model for the interaction.
DOI
10.1088/1355-5111/8/5/003

Related papers

Wigner function in the polariton phase space

A. Rosado, Emerson Sadurní, Juan Mauricio Torres

The Wigner function of a dynamical infinite dimensional lattice is studied. A closed differential equation without diffusion terms for this function is obtained and solved. We map atom-photon interaction systems, such as the Jaynes-Cummings model, into this lattice model, where each dressed or polariton state corresponds to a point in the lattice and the conjugate momenta are described by the eigenvalues of the phase operator. The corresponding Wigner function is defined by these two conjugate variables in what we name the polariton phase space. We derive a general propagator of the Wigner function, which is also valid for other hybrid models.

arXiv:1808.00941•Aug 2, 2018•0 citations

TIME EVOLUTION OF THE PHASE OPERATOR IN INTERACTING FOCK SPACE

Pradip Das

Here we discuss interaction of a single two-level atom with a single mode of interacting electromagnetic field in the Jaynes–Cummings model with the rotating wave approximation.

International Journal of Modern Physics B•Jun 30, 2004•0 citations

Interaction of a moving two-level atom with a single-mode quantized cavity field

Bimalendu Deb, Surajit Sen

We consider a variant of the Jaynes-Cummings model (JCM) which describes the interaction of a moving two-level atom with a single-mode electromagnetic field. The coupling of the moving dipole with the magnetic field which leads to the Roentgen interaction is taken into account. A solution in the dressed state description is presented in the spirit of the JCM.

Physical Review A•Sep 1, 1997•13 citations

Quantum phase properties and Wigner function of two 2-level atoms in the presence of the Stark shift for the Tavis–Cummings model

A.‐S. F. Obada, H. A. Hessian, Mostafa Hashem

An analytical solution for two identical 2-level atoms interacting with a single-mode quantized radiation field in the presence of the Stark shift is obtained. Both atoms are prepared initially in the excited state and the field in a coherent state. The phase distribution, phase variance and Wigner function are investigated. The influence of the Stark shift on the Wigner function and the phase properties is analysed.

Journal of Physics B Atomic Molecular and Optical Physics•Aug 12, 2009•2 citations

Evolution of the superposition of displaced number states with the two-atom multiphoton Jaynes-Cummings model: interference and entanglement

El-Orany, F A A

In this paper we study the evolution of the two two-level atoms interacting with a single-mode quantized radiation field, namely, two-atom multiphoton Jaynes-Cummings model when the radiation field and atoms are initially prepared in the superpostion of displaced number states and excited atomic states, respectively. For this system we investigate the atomic inversion, Wigner function, phase distribution and entanglement.

•Dec 14, 2005•13 citations

A joint Wigner function of an atom-field system with dissipation

L. Sanz, K. Furuya

We found analytically the exact joint Wigner function (WF) of an atom-field system described by the Jaynes-Cummings model in the dispersive limit for a given initial state. Using the solution of a master equation with a dissipative term calculated by Peixoto de Faria and Nemes (Peixoto de Faria J G and Nemes M C 1999 Phys. Rev. A 59 3918) and a general expression for the joint WF proposed by Czirják and Benedict (Czirják A and Benedict M G 1996 Quantum Semiclass. Opt. 8 975), we obtained the exact reduced atom and field WFs and analysed their time evolution. Our results show that, at the maximum entanglement times, the atom tends to a statistical mixture state represented by a spherical polar plot. Also, the atomic WF shows how fast the negative-valued part disappears as a function of dissipation constant and the strength of the field coherent state.

Journal of Optics B Quantum and Semiclassical Optics•Apr 5, 2002•5 citations
The Wigner function of a dynamical infinite dimensional lattice is studied. A closed differential equation without diffusion terms for this function is obtained and solved. We map atom-photon interaction systems, such as the Jaynes-Cummings model, into this lattice model, where each dressed or polariton state corresponds to a point in the lattice and the conjugate momenta are described by the eigenvalues of the phase operator. The corresponding Wigner function is defined by these two conjugate variables in what we name the polariton phase space. We derive a general propagator of the Wigner function, which is also valid for other hybrid models.
We found analytically the exact joint Wigner function (WF) of an atom-field system described by the Jaynes-Cummings model in the dispersive limit for a given initial state. Using the solution of a master equation with a dissipative term calculated by Peixoto de Faria and Nemes (Peixoto de Faria J G and Nemes M C 1999 Phys. Rev. A 59 3918) and a general expression for the joint WF proposed by Czirják and Benedict (Czirják A and Benedict M G 1996 Quantum Semiclass. Opt. 8 975), we obtained the exact reduced atom and field WFs and analysed their time evolution. Our results show that, at the maximum entanglement times, the atom tends to a statistical mixture state represented by a spherical polar plot. Also, the atomic WF shows how fast the negative-valued part disappears as a function of dissipation constant and the strength of the field coherent state.