J4 ›› 2015, Vol. 32 ›› Issue (3): 341-346.

• 量子光学 • 上一篇    下一篇

耗散介观RLC串并联电路的量子涨落

孔令杰   

  1. 菏泽学院物理与电子工程系,山东 菏泽 274015
  • 收稿日期:2014-08-15 修回日期:2014-10-21 出版日期:2015-05-28 发布日期:2015-05-28
  • 通讯作者: 孔令杰(1985-)山东菏泽人,助教,硕士,研究方向:信号与信息处理及介观物理量子效应
  • 基金资助:

    山东省优秀中青年科学家科研奖励基金(BS2012CL001);菏泽学院博士基金(XY10BS02)

Quantum Fluctuations of Dissipative Mesoscopic RLC Series and Parallel Circuit

KONG Ling-jie   

  1. Physics and Electronic Engineering Department of Heze University, Heze Shandong 274015, China
  • Received:2014-08-15 Revised:2014-10-21 Published:2015-05-28 Online:2015-05-28

摘要:

借鉴阻尼谐振子正则量子化的方法,实现了对耗散介观RLC串并联电路的量子化,并在此基础上,研究了真空态下电路中电荷和自感磁通链、电压和电流的量子涨落。结果表明,电路中电荷和自感磁通链、电压和电流在真空态下都具有各自的量子涨落,且量子涨落及量子涨落积的大小皆与电路中的器件参数有关,并随时间按指数规律衰减。

关键词: 量子光学, 耗散介观RLC串并联电路, 量子化, 真空态, 量子涨落

Abstract:

By using canonical quantization method of damped harmonic oscillator, the quantum of dissipative mesoscopic RLC series and parallel circuit was realized. And on this basis, the quantum fluctuations of charge and inductance flux linkage as the same as voltage and current in circuit under vacuum state were also studied through this research methods. The results show that charge and inductance flux linkage as the same as voltage and current in circuit under vacuum state respectively exist quantum fluctuations. And the size of the quantum fluctuations and quantum fluctuations plot all depend on device parameters in the circuit, which decaying exponentially with time.

Key words: quantum optics, dissipative mesoscopic RLC series and parallel circuit, quantization, vacuum state, quantum fluctuations