中国物理B ›› 2004, Vol. 13 ›› Issue (12): 2058-2063.doi: 10.1088/1009-1963/13/12/014

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Higher-order squeezing of quantum electromagnetic fields and higher-order uncertainty relations in two-mode squeezed states

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 Centre for Applied Mathematics, Nankai University and Tianjin University, Tianjin 300072 China; CCAST(World Lab.), Beijing 100080, China; (3)Liu Hui Centre 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:2004-05-09 修回日期:2004-06-09 出版日期:2004-12-17 发布日期:2005-03-17
  • 基金资助:
    Project supported by Liu Hui Centre for Applied Mathematics, Nankai University and Tianjin University, Tianjin (Grant No T15).

Higher-order squeezing of quantum electromagnetic fields and higher-order uncertainty relations in two-mode squeezed states

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 Centre for Applied Mathematics, Nankai University and Tianjin University, Tianjin 300072 China; c Ultrafast Laser Laboratory, School of Precision Instruments and Optoelectronics Engineering, Tianjin University, Tianjin 300072, Chinad CCAST(World Lab.), Beijing 100080, China
  • Received:2004-05-09 Revised:2004-06-09 Online:2004-12-17 Published:2005-03-17
  • Supported by:
    Project supported by Liu Hui Centre for Applied Mathematics, Nankai University and Tianjin University, Tianjin (Grant No T15).

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摘要： It is found that the two-mode output quantum electromagnetic field in two-mode squeezed states exhibits higher-order squeezing to all even orders, and the degree of higher-order squeezing is greater than that of the second-order. 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 two-mode squeezed states are presented for the first time. The product of higher-order noise moments is related to even order number N and the squeeze factor r.

关键词: higher-order squeezing, higher-order uncertainty relations, quantum fields, two-mode squeezed states

Abstract: It is found that the two-mode output quantum electromagnetic field in two-mode squeezed states exhibits higher-order squeezing to all even orders, and the degree of higher-order squeezing is greater than that of the second-order. 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 two-mode squeezed states are presented for the first time. The product of higher-order noise moments is related to even order number N and the squeeze factor r.

Key words: higher-order squeezing, higher-order uncertainty relations, quantum fields, two-mode squeezed states

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

  • 42.50.Dv
42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)