给出了含有超导约瑟夫森结的介观互感电路的量子化方案,借助于压缩幺正变换求出了体系的能级以及基态矢量,研究了体系中结端“过剩电荷”(excess charge)与相位差在基态下的量子涨落。结果表明,体系的基态为一旋转的两单模压缩真空态。
The quantization scheme of the mesoscopic mutual inductance circuit with superconducting Josephson junctions is given. By means of squeezing unitary transformation, the energy level and the ground state vector of the system are obtained. Then, the quantum fluctuations of excess charges and phase difference between the sides of Josephson junction in the ground state are investigated. It is found that the ground state of the system is a rotated two single-mode squeezed vacuum state.