Critical quantum fluctuations in the degenerate parametric oscillator

Drummond, P. D., Dechoum, K. and Chaturvedi, S. (2002) Critical quantum fluctuations in the degenerate parametric oscillator. Physical Review A, 65 3: . doi:10.1103/PhysRevA.65.033806

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Author Drummond, P. D.
Dechoum, K.
Chaturvedi, S.
Title Critical quantum fluctuations in the degenerate parametric oscillator
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2002
Sub-type Article (original research)
DOI 10.1103/PhysRevA.65.033806
Open Access Status File (Publisher version)
Volume 65
Issue 3
Total pages 8
Editor B Crasemann
Place of publication College Pk
Publisher American Physical Society
Collection year 2002
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract We develop a systematic theory of critical quantum fluctuations in the driven parametric oscillator. Our analytic results agree well with stochastic numerical simulations. We also compare the results obtained in the positive-P representation, as a fully quantum-mechanical calculation, with the truncated Wigner phase-space equation, also known as the semiclassical theory. We show when these results agree and differ in calculations taken beyond the linearized approximation. We find that the optimal broadband noise reduction occurs just above threshold. In this region where there are large quantum fluctuations in the conjugate variance and macroscopic quantum superposition states might be expected, we find that the quantum predictions correspond very closely to the semiclassical theory.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Stochastic Differential-equations
Sub-2nd Harmonic-generation
Nonequilibrium Transitions
Squeezed States
Q-Index Code C1

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 32 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 14 Aug 2007, 17:15:15 EST