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Phys. Rev. A 49, 4101–4109 (1994)

Wigner distribution of a general angular-momentum state: Applications to a collection of two-level atoms

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Jonathan P. Dowling
Weapons Sciences Directorate, AMSMI-RD-WS-ST, Research, Development, Engineering Center, U.S. Army Missile Command, Redstone Arsenal, Alabama 35898-5248

G. S. Agarwal
School of Physics, University of Hyderabad, Hyderabad-500 134, India

Wolfgang P. Schleich
Abteilung für Quantenphysik, Universität Ulm, Oberer Eselsberg D-89069 Ulm, Germany

Received 10 November 1993; published in the issue dated May 1994

The general theory of quantum angular momentum is used to derive the unique Wigner distribution function for arbitrary angular-momentum states. We give the explicit distribution for atomic angular-momentum Dicke states, coherent states, and squeezed states that correspond to a collection of N two-level atoms. These Wigner functions W(θ,cphi) are represented as a pseudoprobability distribution in spherical phase space with spherical coordinates θ and cphi on the surface of a sphere of radius ħ √j(j+1) where j is the total angular-momentum eigenvalue.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.49.4101
DOI:
10.1103/PhysRevA.49.4101
PACS:
42.50.Dv, 03.65.Bz, 31.15.+q