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Quantum tunneling and thermal activation in the parametric oscillator

P. D. Drummond and P. Kinsler
Phys. Rev. A 40, 4813(R) – Published 1 October 1989
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Abstract

The mean time taken for the degenerate parametric oscillator to quantum tunnel between its two above-threshold stable states is calculated in the large photon-number limit. The result is compared with an earlier approximate result using a truncated Fokker-Planck equation in the Wigner representation. This earlier theory is equivalent to stochastic electrodynamics. Our quantum theory results indicate orders of magnitude faster tunneling far above threshold, when compared to the truncated Wigner theory.

  • Received 11 September 1989

DOI:https://doi.org/10.1103/PhysRevA.40.4813

©1989 American Physical Society

Authors & Affiliations

P. D. Drummond and P. Kinsler

  • Department of Physics, University of Queensland, Queensland 4067, Australia

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Vol. 40, Iss. 8 — October 1989

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