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Phys. Rev. A 79, 043825 (2009) [6 pages]

Spatial-state Stokes-operator squeezing and entanglement for optical beams

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M. T. L. Hsu1,2, W. P. Bowen3, and P. K. Lam1
1ARC COE for Quantum-Atom Optics, Australian National University, Canberra, Australian Capital Territory 0200, Australia
2Department of Chemistry, Stanford University, Palo Alto, California 94305, USA
3School of Physical Sciences, University of Queensland, Brisbane, Queensland 4072, Australia

Received 8 November 2008; revised 4 March 2009; published 23 April 2009

The transverse spatial attributes of an optical beam can be decomposed into the position, momentum, and orbital angular momentum observables. The position and momentum of a beam are directly related to the quadrature amplitudes, while the orbital angular momentum is related to the polarization (spin) variables. In this paper, we study the quantum properties of these spatial variables, using a representation in the Stokes-operator basis. We propose a spatial detection scheme to measure all three spatial variables and, consequently, propose a scheme for the generation of spatial Stokes-operator squeezing and entanglement.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.043825
DOI:
10.1103/PhysRevA.79.043825
PACS:
42.50.Dv, 42.30.−d