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
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
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.
Received: 09 May 2004
Revised: 09 June 2004
Accepted manuscript online:
(Quantum fluctuations, quantum noise, and quantum jumps)
Fund: Project supported by Liu Hui Centre 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 electromagnetic fields and higher-order uncertainty relations in two-mode squeezed states 2004 Chinese Physics 13 2058
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