介观RLC电路的量子化及其在有限温度下的量子效应  

Quantization of mesoscopic RLC circuit and its quantum effects at finite temperature

作　　者：梁宝龙[1] 李艳玲[1] 孟祥国[1] 王继锁[1] 

机构地区：[1]聊城大学物理科学与信息工程学院,山东聊城252059

出　　处：《量子电子学报》2007年第3期335-340,共6页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金(10574060);山东省自然科学基金(Y2004A09)

摘　　要：利用正则化变换,给出了介观RLC电路体系的量子化方案．借助数值计算的方法,研究了体系热真空态的Wigner函数随温度变化的规律,同时借助量子算符及其Weyl-Wigner对应研究了体系中电荷及自感磁通量在热真空态下的量子效应．结果表明,低温下热真空态的Wigner函数为一稳定的波包,随温度升高,波包逐渐扩散;体系中电荷及自感磁通量在热真空态下的的量子涨落除与电路参数相关外,还与温度及时间密切相关．By using canonical transformation, the quantization scheme of mesoscopic RLC circuit is given. With the aid of numerical calculation, the regulation is investigated about how the Wigner function of the thermal vacuum state varies with the temperature. Meanwhile, the quantum effects of the charge and self-conductance magnetic flux in the thermal vacuum state are discussed by using Weyl-Wigner correspondence. It is found that, Wigner function of the thermal vacuum state at low temperature is a stable wave packet, but it diffuses with the temperature increasing and the quantum effects of charge and self-conductance magnetic flux in the thermal vacuum state vary with the temperature and time, besides the circuit parameters.

关 键 词：量子光学 介观RLC电路 Weyl-Wigner对应 量子涨落 WIGNER函数 

分 类 号：O431.2[机械工程—光学工程]