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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 10 — Oct. 1, 2006
  • pp: 2174–2179

Quantum fluctuations in the time-dependent linearly driven degenerate parametric amplifier

Chaoying Zhao and Weihan Tan  »View Author Affiliations


JOSA B, Vol. 23, Issue 10, pp. 2174-2179 (2006)
http://dx.doi.org/10.1364/JOSAB.23.002174


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Abstract

The time-dependent, linearly driven Fokker–Planck equation for the degenerate parametric amplifier is derived when the pump depletion is present both above and below threshold. A model that the driving force ε α 1 is a product of the classical quantity ε and quantum operator α 1 is proposed. It is found that below or near threshold, our results conform to the linear theory or perturbation series expansion, and above threshold, the short-time behavior of our solution is close to the linearization approximation; with the increase of interaction time τ, the long-time behavior of our solution shows that the squeezing is always quite different from the linear theory. It is shown that the maximal squeezing can be obtained at large pump parameter μ = ε k and interaction time Δ τ .

© 2006 Optical Society of America

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

ToC Category:
Quantum Optics

History
Original Manuscript: October 20, 2005
Revised Manuscript: June 24, 2006
Manuscript Accepted: July 11, 2006

Citation
Chaoying Zhao and Weihan Tan, "Quantum fluctuations in the time-dependent linearly driven degenerate parametric amplifier," J. Opt. Soc. Am. B 23, 2174-2179 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-10-2174


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