中国物理B ›› 2005, Vol. 14 ›› Issue (9): 1828-1833.doi: 10.1088/1009-1963/14/9/025

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Higher-order squeezing of quantum field and higher-order uncertainty relations in non-degenerate four-wave mixing

苏保霞1, 李希曾2, 柴路3   

  1. (1)Department of Applied Physics, School of Science,Tianjin University, Tianjin 300072, China; (2)Department of Applied Physics, School of Science,Tianjin University, Tianjin 300072, China;Liu Hui Center for Applied Mathematics, Nankai University and Tianjin University, Tianjin 300072, China;CCAST (World Laboratory), Beijing 100080, China; (3)Liu Hui Center for Applied Mathematics, Nankai University and Tianjin University, Tianjin 300072, China;Ultrafast Laser Laboratory, School of Precision Instruments and Optoelectronics Engineering, Tianjin University, Tianjin 300072,China
  • 收稿日期:2005-03-01 修回日期:2005-04-19 出版日期:2005-09-20 发布日期:2005-09-20
  • 基金资助:
    roject supported by Liu Hui Center for Applied Mathematics, Nankai University and Tianjin University, Tianjin(Grant No T15).

Higher-order squeezing of quantum field and higher-order uncertainty relations in non-degenerate four-wave mixing

Li Xi-Zeng (李希曾)abd, Su Bao-Xia (苏保霞)a, Chai Lu (柴路)bc   

  1. a Department of Applied Physics, School of Science,Tianjin University, Tianjin 300072, China; b Liu Hui Center for Applied Mathematics, Nankai University and Tianjin University, Tianjin 300072, Chinac Ultrafast Laser Laboratory, School of Precision Instruments and Optoelectronics Engineering, Tianjin University, Tianjin 300072, China; d CCAST (World Laboratory), Beijing 100080, China 
  • Received:2005-03-01 Revised:2005-04-19 Online:2005-09-20 Published:2005-09-20
  • Supported by:
    roject supported by Liu Hui Center for Applied Mathematics, Nankai University and Tianjin University, Tianjin(Grant No T15).

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摘要： It is found that the field of the combined mode of the probe wave and the phase conjugate wave in the process of non-degenerate four-wave mixing exhibits higher-order squeezing to all even orders. The higher-order squeezed parameter and squeezed limit due to the modulation frequency are investigated. The smaller the modulation frequency is, the stronger the degree of higher-order squeezing becomes. Furthermore, the higher-order uncertainty relations in the process of non-degenerate four-wave mixing are presented for the first time. The product of higher-order noise moments is related to even order number N and the length L of the medium.

关键词: higher-order squeezing, higher-order uncertainty relations, quantum fields, non-degenerate four-wave mixing

Abstract: It is found that the field of the combined mode of the probe wave and the phase conjugate wave in the process of non-degenerate four-wave mixing exhibits higher-order squeezing to all even orders. The higher-order squeezed parameter and squeezed limit due to the modulation frequency are investigated. The smaller the modulation frequency is, the stronger the degree of higher-order squeezing becomes. Furthermore, the higher-order uncertainty relations in the process of non-degenerate four-wave mixing are presented for the first time. The product of higher-order noise moments is related to even order number N and the length L of the medium.

Key words: higher-order squeezing, higher-order uncertainty relations, quantum fields, non-degenerate four-wave mixing

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
42.65.Hw (Phase conjugation; photorefractive and Kerr effects)