无耗散介观电感耦合电路中电压和电流的量子涨落

Quantum Fluctuations of Voltage and Current in Mesoscopic Mutual Inductance Coupled Circuits

从经典运动方程出发 ,对无耗散介观电感耦合电路体系进行了量子化处理 ,并研究了体系处在任一本征态时电流、电压的量子涨落 ,结果表明 :每个回路中电流、电压的量子涨落不仅与体系所处状态、该回路的元件有关 ,而且与体系中另一个回路的元件。

Starting with the equation for the classical motion of nondissipative mesoscopic mutual inductance coupled circuits, we studied the quantization scheme of the coupled circuits and the quantum fluctuation of the voltage and current in the eigenstate of the coupled circuits. The results show that the quantum fluctuation in each circuit is related not only to itself elements and the eigenstate of the coupled circuits ,but also to another circuit elements and the mutual inductance coefficients of the coupled circuits.