Wehrl熵表征介观RLC电路量子效应的研究  

Research on the Denotation of the Quantum Effects for a Mesoscopic RLC Circuit by Wehrl Entropy

作　　者：王帅[1] 徐兴磊[1] 

机构地区：[1]菏泽学院物理系,山东菏泽274015

出　　处：《郑州大学学报（理学版）》2008年第4期66-69,共4页Journal of Zhengzhou University:Natural Science Edition

基　　金：菏泽学院自然科学基金资助项目;编号XY07WL01;山东省高等学校实验技术基金资助项目;编号S04W138

摘　　要：首先利用信息测量理论中的Wehrl熵,给出热场中谐振子系统的Wehrl熵,然后将介观RLC电路等效成热谐振子,研究介观RLC电路在热真空态下量子效应和Wehrl熵之间的关系.结果表明,Wehrl熵不仅和谐振子的本征频率有关,而且与热场温度有关;并且电路中的电荷和自感磁通量的量子涨落及相应不确定关系随着Wehrl熵增加而增加,从而Wehrl熵可以表征介观RLC电路中的量子涨落及相应不确定关系,是介观电路量子效应的最好度量.By using the information-theoretic Wehrl entropy, the Wehrl entropy of a harmonic oscillator is obtained in thermal field. The mesoscopic RLC electric circuit is quantized. The relation between the Wehrl entropy and the quantum effects of mesoscopic RLC electric circuit is researched in thermal field. These results show that the Wehrl entropy is related to not only the engenfrequency, but also the temperature. And the quantum fluctuation and the corresponding uncertainty relation of charge and magnetic flux grow with the Wehrl entropy increasing and become small with the Wehrl entropy decreasing. So the Wehrl entropy can be regarded as a best measurement of the quantum fluctuation and the corresponding uncertainty of mesoscopic RLC electric circuit.

关 键 词：WEHRL熵 热谐振子 介观RLC电路 量子涨落 

分 类 号：O413.1[理学—理论物理]