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Quantum fluctuation in the time-dependent linearly driven degenerate parametric amplification

Zhao Chao-Ying Tan Wei-Han

Quantum fluctuation in the time-dependent linearly driven degenerate parametric amplification

Zhao Chao-Ying, Tan Wei-Han
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  • Abstract views:  3301
  • PDF Downloads:  920
  • Cited By: 0
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  • Received Date:  19 December 2004
  • Accepted Date:  14 March 2005
  • Published Online:  20 October 2005

Quantum fluctuation in the time-dependent linearly driven degenerate parametric amplification

  • 1. 上海大学物理系,上海 200444

Abstract: A systematic theory of quantum fluctuation in the time-dependent linearly driven parametric amplification is developed. At first, a time-dependent linearly driven Fokker-Planck equation for the degenerate optical parametric amplification system is deduced when the pump depletion is considered, and then the quantum fluctuation below or near the threshold is evaluated, which is in agreement with that obtained by the linear theory or perturbation expansion near the threshold. Above the threshold, the short-time behavior of our solution is close to the linearization approximation; however, with the increase of interaction time τ, the long-time behavior of our solution shows that the squeezing is quite different from the linear theory.

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