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Acta Physica Sinica

The solution of phase-mismatched Fokker-Planck equation and its application in the QPM device

Chao Zhao, TAN WEI-HAN, 上海大学物理系,上海 200444

Published Jan 1, 2005• 0 citations
Publisher

Abstract

A new analytical solution for the phase_mismatched Fokker_Planck equation of deg enerate parametric amplification, and its application in evaluation of the ampli tude quantum fluctuation after passing through the quasi_phase_matching(QPM) dev ice is presented. The calculated results for QPM device, agree with that of the Langevin equation in the case of no loss k=0, and give a general solution fo r k≠0, from which we can derive the influence of squeezing on the loss coef ficient k.

DOI
10.7498/aps.54.2723

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A new analytical solution for the phase_mismatched Fokker_Planck equation of deg enerate parametric amplification, and its application in evaluation of the ampli tude quantum fluctuation after passing through the quasi_phase_matching(QPM) dev ice is presented. The calculated results for QPM device, agree with that of the Langevin equation in the case of no loss k=0, and give a general solution fo r k≠0, from which we can derive the influence of squeezing on the loss coef ficient k.
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We present a new analytical solution for Fokker–Planck equation of phase-mismatched frequency non-degenerate optical parametric amplifier (FNOPA). We investigate the squeezing and continuous variable (CV) entanglement characteristic of a FNOPA working at phase-mismatched condition. We numerically calculate the dependence of the CV entanglement on the relative loss parameter ξ and the phase-mismatched parameter η~. The smaller η~ can bring a long-time entanglement. This method can also be applied to multipartite entanglement situation.
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