Critical fluctuations in the quantum parametric oscillator

Paul Kinsler and Peter D. Drummond
Phys. Rev. A 52, 783 – Published 1 July 1995
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Abstract

We calculate the scale of the critical fluctuations in the quantum parametric oscillator at threshold. This allows us to calculate asymptotically the size of both the depletion of the pump mode and the amount of squeezing produced in the signal mode for large system size. In this driven, open quantum system, there is no known solution to the equilibrium density matrix. For this reason these results cannot be obtained using standard canonical ensemble methods. The calculations are compared to time dependent quantum stochastic simulations of the fully nonlinear coupled mode equations. We find that the critical squeezing variance in the output spectrum will scale as N1/2, giving the feature that these fluctuations are reduced rather than enhanced near the critical point.

  • Received 27 January 1995

DOI:https://doi.org/10.1103/PhysRevA.52.783

©1995 American Physical Society

Authors & Affiliations

Paul Kinsler

  • Department of Physics, University of Sheffield, Sheffield S3 7RH, United Kingdom

Peter D. Drummond

  • Department of Physics, University of Waikato, Hamilton, New Zealand

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Vol. 52, Iss. 1 — July 1995

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