介观LC电路数-相空间的量子涨落  

Quantum Fluctuations of Mesoscopic LC Circuit in the Number-phase Space

作　　者：马美娟[1] 

机构地区：[1]菏泽学院物理系,山东菏泽274015

出　　处：《郑州大学学报（理学版）》2008年第4期70-73,共4页Journal of Zhengzhou University:Natural Science Edition

基　　金：菏泽学院自然科学基金资助项目;编号XY07WL01

摘　　要：从电路系统的Lagrange量入手,利用数-相量子化方案,将介观LC电路量子化,得到了数-相算符表示的Hamiltonian,研究了真空态和压缩真空态下电路中电荷数和相位差的量子涨落.结果表明在真空态下的量子涨落只与电路器件的参数有关,而在压缩真空态下的量子涨落不仅与器件参数有关,还和压缩参数有关.Starting with the Lagrange of circuit system and using number-phase quantization scheme,mesoscopic LC circuit is quantized and the Hamiltonian expressed by charge number operator and the phase-difference operator is obtained. The quantum fluctuations of both charge number and phase-difference are researched in both vacuum state and squeezed vacuum state. The results show that the quantum fluctuations only relate to the parameters of circuit system in vacuum state, but in the squeezed vacuum state, the quantum fluctuations relate to not only the parameters of circuit system, but also the squeezing parameter.

关 键 词：介观LC电路 数-相量子化 量子涨落 

分 类 号：O431.2[机械工程—光学工程]