普遍意义下介观RLC并联电路的量子化及在真空态下的量子涨落

J4 ›› 2009, Vol. 26 ›› Issue (4): 451-455.

普遍意义下介观RLC并联电路的量子化及在真空态下的量子涨落

杨庆怡易施光

广西大学物理科学与工程技术学院, 广西南宁 530004

收稿日期:2009-04-15 修回日期:2009-05-18 出版日期:2009-07-28 发布日期:2009-06-29
通讯作者: 杨庆怡 (1963-), 男, 广西融安县人, 博士, 广西大学物理科学与工程技术学院副教授, 主要从事量子光学及激光光谱学领域的研究. E-mail:yangqingyi8@tom.com
基金资助:
国家自然科学基金(批准号: 10564001)

Quantization of the generalized mesoscopic RLC parallel circuit and the quantum fluctuations in vacuum state

YANG Qing-Yi, Yi-Shi-Guang

College of Physics Science and Technology, Guangxi University, Nanning 530004, China

Received:2009-04-15 Revised:2009-05-18 Published:2009-07-28 Online:2009-06-29

摘要/Abstract

摘要：

对具有普遍意义的介观RLC并联电路进行量子化并对各支路电流与电压的量子涨落进行研究, 同时分析耗散电阻对两个支路的量子涨落所产生的影响. 结果表明:各支路的量子涨落均与电路元件的参数有关并且随时间而衰减; 而耗散电阻对电感支路和电容支路量子涨落的衰减因子及其系数均产生影响, 对两个支路电流与电压的量子涨落的衰减因子产生的影响相同, 而对其系数产生的影响不同.当电感支路与电容支路的耗散电阻相同时, 两个支路的电压涨落与耗散电阻有关, 而电流涨落不受耗散电阻的影响.

关键词: 量子光学, 量子涨落, 量子化, 介观电路, 耗散, 真空态

Abstract:

The quantization of the generalized mesoscopic RLC parallel circuit and the quantum fluctuations of the current and the voltage of each branch in vacuum state were studied. The influences on the quantum fluctuations of the dissipative resistances in the inductance and in the capacitance branches were discussed. The results show that the quantum fluctuations in each branch are related to the parameters of the elements and decay with time. The quantum fluctuations in the two branches are influenced by the dissipative resistances both in the decaying factor and in the coefficients. They have the same behavior in the decaying factor but difference in the coefficients. The quantum fluctuations of the voltage are affected by the dissipative resistances in the two branches, but the quantum fluctuations of the current are not affected by them when the values of the two dissipative resistances are same.

Key words: quantum optics, quantum fluctuation, quantization, mesoscopic circuit, dissipative, vacuum state

中图分类号:

O431.2

杨庆怡易施光. 普遍意义下介观RLC并联电路的量子化及在真空态下的量子涨落[J]. J4, 2009, 26(4): 451-455.

YANG Qing-Yi, Yi-Shi-Guang. Quantization of the generalized mesoscopic RLC parallel circuit and the quantum fluctuations in vacuum state[J]. J4, 2009, 26(4): 451-455.

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