在介观RLC电路中通过量子菲涅耳变换获得压缩机制和压缩态(英文)  

Squeezing mechanism and squeezed state in mesoscopic RLC electric circuit obtained by quantum Fresnel transformation

作　　者：汪贤才[1] 

机构地区：[1]池州学院物理与机电工程系,安徽池州247000

出　　处：《量子电子学报》2013年第4期445-449,共5页Chinese Journal of Quantum Electronics

基　　金：Anhui Provincial Natural Science Foundation(1308085QA18);Key Project of Anhui Province (11070203010);Natural Science Project of the Education Department of Anhui Province(2012SQRL209,KJ2012Z274, 2011SQRL159)

摘　　要：按照有序算符内积分技术,时间演化算符可以表示为坐标-动量相位空间中经典变换的量子映射。依据已经提出的LC电路量子化方案所得到的哈密顿量,推广应用到RLC(电阻、电容和电感)电路量子化方案并得到相应哈密顿量。借助相应的理论计算,可以发现在量子化的RLC电路中存在压缩机制。利用有序算符内积分技术和量子菲涅耳变换关系,可以进一步推导出量子介观RLC电路中相应压缩态的简明形式。By using the technique of integration within ordered product （IWOP） of operators, the timeevolution operator can be expressed as quantum image of the classical transformation in the coordinate and momentum phase space. The quantized mesoscopic RLC （resistance, capacitance and inductance） electric circuit and the corresponding Hamiltonian were obtained according to the way of the quantized mesoscopic LC electric circuit. By means of theoretical calculations, it was shown that there exists squeezing mechanism in the quantized mesoscopic RLC electric circuit. Furthermore, the concrete form of the squeezed state in the quantized mesoscopic RLC electric circuit was derived based on the IWOP technique and quantum Fresnel transformation.

关 键 词：量子光学 有序算符正规乘积的积分 菲涅耳算符 压缩态 量子介观RLC电路 

分 类 号：O431.2[机械工程—光学工程]