中国物理B ›› 1992, Vol. 1 ›› Issue (2): 94-103.doi: 10.1088/1004-423X/1/2/003

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A FULL QUANTUM THEORY OF THE THREE-MODE INTERACTIONS INSIDE AN OPO CAVITY

张天才, 谢常德, 彭堃墀   

  1. Institute of Opto-electronic Researches. Shanxi University, Taiyuan 030006, China
  • 收稿日期:1991-09-28 出版日期:1992-02-20 发布日期:1992-02-20

A FULL QUANTUM THEORY OF THE THREE-MODE INTERACTIONS INSIDE AN OPO CAVITY

ZHANG TIAN-CAI (张天才), XIE CHANG-DE (谢常德), PENG KUN-CHI (彭堃墀)   

  1. Institute of Opto-electronic Researches. Shanxi University, Taiyuan 030006, China
  • Received:1991-09-28 Online:1992-02-20 Published:1992-02-20

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摘要： A full quantum treatment about the process of parametric down-conversion with frequency degenerate but polarization pon-degenerate in an optical parametric oscillator (OPO) cavity is presented. Using the linearized Langevin equations and spectral matrix, we calculated the squeezing spectra of the coupled mode in the output field. The squeezing as a function of driving field and detection frequency is obtained. The resuits obtained, which are compared with those found semiclassically by Reynaud et al., indicate that it is possible to generate a two-mode coherent squeezed state with large amplitude. The quantum correlation between the signal and the idler modes is also discussed. It is shown that there is an inseparable relationship between the two-mode squeezing and the intermode quantum correlation.

Abstract: A full quantum treatment about the process of parametric down-conversion with frequency degenerate but polarization pon-degenerate in an optical parametric oscillator (OPO) cavity is presented. Using the linearized Langevin equations and spectral matrix, we calculated the squeezing spectra of the coupled mode in the output field. The squeezing as a function of driving field and detection frequency is obtained. The resuits obtained, which are compared with those found semiclassically by Reynaud et al., indicate that it is possible to generate a two-mode coherent squeezed state with large amplitude. The quantum correlation between the signal and the idler modes is also discussed. It is shown that there is an inseparable relationship between the two-mode squeezing and the intermode quantum correlation.

中图分类号:  (Phase conjugation; photorefractive and Kerr effects)

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42.79.Bh (Lenses, prisms and mirrors) 42.79.Dj (Gratings)