在介观RLC电路中通过量子菲涅尔变换获得压缩机制和压缩态

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LCR（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LCR（电阻、电容和电感）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LCR电路中相应压缩态的简明形式。

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

By using the technique of integration within ordered product (IWOP) of operators, the time-evolution operator can be expressed as the quantum image of the classical transformation in the coordinate and the momentum phase space. The quantized mesoscopic LCR (resistance, capacitance and inductance) electric circuit and the corresponding Hamiltonian are obtained according to the way of the quantized mesoscopic LC electric circuit. By means of theoretic calculations, it is shown that there exists squeezing mechanism in the quantized mesoscopic LCR electric circuit. Furthermore，the concrete form of the squeezed state in the quantized mesoscopic LCR electric circuit is derived based on the IWOP technique and the quantum Fresnel transformation.