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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 12 — Dec. 1, 2000
  • pp: 2486–2495

Generalized uncertainty relations and coherent and squeezed states

D. A. Trifonov  »View Author Affiliations


JOSA A, Vol. 17, Issue 12, pp. 2486-2495 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002486


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Abstract

Characteristic uncertainty relations and their related squeezed states are briefly reviewed and compared in accordance with the generalizations of three equivalent definitions of canonical coherent states. The standard SU(1, 1) coherent states are shown to be the unique states that minimize the Schrödinger uncertainty relation for every pair of the three generators and the Robertson relation for the three generators. The characteristic uncertainty inequalities are naturally extended to the case of several states. It is shown that these inequalities can be written in the equivalent complementary form.

© 2000 Optical Society of America

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

History
Original Manuscript: March 9, 2000
Revised Manuscript: July 20, 2000
Manuscript Accepted: July 31, 2000
Published: December 1, 2000

Citation
D. A. Trifonov, "Generalized uncertainty relations and coherent and squeezed states," J. Opt. Soc. Am. A 17, 2486-2495 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-12-2486


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