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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 8, Iss. 2 — Jan. 15, 2001
  • pp: 76–85

Remarks on the use of group theory in quantum optics

Christopher C. Gerry  »View Author Affiliations


Optics Express, Vol. 8, Issue 2, pp. 76-85 (2001)
http://dx.doi.org/10.1364/OE.8.000076


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Abstract

The relationships between certain important nonclassical states of the quantized field and the coherent states associated with the SU(2) and SU(1,1) Lie groups and associated Lie algebras is briefly reviewed. As an example of the utility of group theoretical methods in quantum optics, a method for generating maximally entangled photonic states is discussed. These states may be of great importance for achieving Heisenberg-limited interferometry and in beating the diffraction limit in lithography.

© Optical Society of America

OCIS Codes
(270.0270) Quantum optics : Quantum optics
(270.6570) Quantum optics : Squeezed states

ToC Category:
Focus Issue: Quantum control of photons and matter

History
Original Manuscript: November 7, 2000
Published: January 15, 2001

Citation
Christopher Gerry, "Remarks on the use of group theory in quantum optics," Opt. Express 8, 76-85 (2001)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-8-2-76


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