有互感的电感耦合介观电路的量子化及其量子效应

Quantization and quantum effects of mesoscopic inductance coupling circuits with mutual inductance

利用拉格朗日函数给出了有互感的电感耦合介观电路体系的哈密顿量,通过引入一幺正算符使体系哈密顿算符对角化,然后借助IWOP技术,求出了幺正算符的正规乘积形式;同时还讨论了电路体系中电荷及其共轭量的量子涨落。结果发现,利用该电路体系可以产生转动的两单模压缩真空态。

The Hamiltonian of the mesoscopic inductance coupling circuits with mutual inductance was given by Langrangian function, then it was diagonilized through a unitary operator. The normal Ordering form of the unitary operator was obtained by the technique of integration within an ordered product （IWOP）, and the quantum fluctuations of charge and its conjugate quantity of this system were discussed. It was found that a rotated two single-mode squeezed vacuum state could be generated by using the system.