Quantum-theoretical treatments of three-photon processes

Olsen, M. K., Plimak, L. I. and Fleischhauer, M. (2002) Quantum-theoretical treatments of three-photon processes. Physical Review A, 65 5: 053806-1-053806-9. doi:10.1103/PhysRevA.65.053806

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Author Olsen, M. K.
Plimak, L. I.
Fleischhauer, M.
Title Quantum-theoretical treatments of three-photon processes
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2002-05
Year available 2002
Sub-type Article (original research)
DOI 10.1103/PhysRevA.65.053806
Open Access Status File (Publisher version)
Volume 65
Issue 5
Start page 053806-1
End page 053806-9
Total pages 9
Place of publication New York
Publisher American Physical Society
Language eng
Abstract We perform and compare different analyses of triply degenerate four-wave mixing in the regime where three fields of the same frequency interact via a nonlinear medium with a field at three times the frequency. As the generalized Fokker-Planck equation (GFPE) for the positive-P function of this system contains third-order derivatives, there is no mapping onto genuine stochastic differential equations. Using techniques of quantum field theory, we are able to write stochastic difference equations that we may integrate numerically. We compare the results of this method with those obtained by the use of approximations based on semiclassical equations, and on truncation of the GFPE leading to stochastic differential equations. In the region where the difference equations converge, the stochastic methods agree for the field intensities, but give different predictions for the quantum statistics.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Intracavity Coherent Photoassociation
Wave 2nd-harmonic Generation
3-photon Down-conversion
3rd-harmonic Generation
Chi((3)) Nonlinearities
Parametric Oscillator
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 5 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 4 times in Scopus Article | Citations
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Created: Wed, 19 Sep 2007, 15:21:03 EST