数-相量子化及介观电路在自由热态下的量子效应  

Number-phase quantization and the quantum effects of mesoscopic circuit in free thermal state

作　　者：王帅[1] 

机构地区：[1]菏泽学院物理系,山东菏泽274015

出　　处：《量子电子学报》2009年第3期333-337,共5页Chinese Journal of Quantum Electronics

基　　金：菏泽学院自然科学基金资助项目(XY07WL01)

摘　　要：利用数-相量子化方案,将介观LC电路等效为一个谐振子。通过相干态表象和算符正规乘积形式,简捷地给出了自由热态的Wigner函数,同时借助于量子算符及其Weyl-Wigner对应研究了体系中电荷数及相位差在自由热态下的量子效应。结果表明,体系中电荷数及相位差在自由热态下的量子涨落不仅和电路中器件的参数有关,而且还和温度有关,且储存于电感中的平均能量和电容中的平均能量分别相等。这一研究结果支持了介观电路数-相量子化新方案,对介观电路的量子化和电路的量子效应的研究具有很好的理论指导意义。Using number-phase quantization scheme, mesoscopic LC circuit is quantized to one dimensional harmonic oscillator coupled to a thermal field. The Wigner function of the free thermal state is obtained by using the coherent state representation and normal product form of operators, and then the quantum effects of charge number and phase-difference in free thermal state are discussed by using WeyloWigner correspondence. It is found that, the quantum fluctuati^ns of charge number and phase-difference in free thermal state are related to not only the parameters of the circuit, but also the temperature, and the average energy stored in the capacitance and inductance is equal to each other. It is proven that the number-phase quantization is very useful to tackle with quantization of some mesoscopic circuits and the quantum effects.

关 键 词：量子光学 介观LC电路 数-相量子化 WIGNER函数 量子涨落 

分 类 号：O431.2[机械工程—光学工程]