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
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
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.
Received: 01 March 2005
Revised: 19 April 2005
Accepted manuscript online:
(Phase conjugation; photorefractive and Kerr effects)
Fund: roject supported by Liu Hui Center for Applied Mathematics, Nankai University and Tianjin University, Tianjin(Grant No T15).
Cite this article:
Li Xi-Zeng (李希曾), Su Bao-Xia (苏保霞), Chai Lu (柴路) Higher-order squeezing of quantum field and higher-order uncertainty relations in non-degenerate four-wave mixing 2005 Chinese Physics 14 1828
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