耗散电容支路的介观RLC并联电路中电流和电压的真空量子涨落

The Quantum Fluctuations of the Voltage and Current of the Mesoscopic Parallel RLC Circuit with Dissipative Capacitance Branch Circuit in Vacuum State

关键词:  量子光学  阻尼谐振子  介观电路  真空态  量子涨落

Key words:  quantum optics  damped harmonic oscillator  mesoscopic circuit  vacuum state  quantum fluctuation

摘要:

借鉴阻尼谐振子的量子力学处理的研究思想,对电容支路存在耗散的介观RLC并联电路进行量子化,研究电路在真空态下各支路中电流和电压的量子涨落.结果表明,电路中各支路电流和电压的量子涨落均随时间而衰减,涨落的衰减因子相同,但是系数不同,然而耗散电阻对各支路的量子涨落均有影响.

Abstract:

By referring to the idea of dealing with damped harmonic oscillator in quantum mechanics, the mesoscopic parallel RLC circuit with dissipative capacitance branch circuit is quantized.On this basis, the quantum fluctuations of the voltage and current of each branch circuit in vacuum state are studied.The result shows that the quantum fluctuations of the voltage and current of each branch circuit are related with the parameters of the circuit elements, and decay according to exponent along with time, and that the attenuations of the quantum fluctuations are the same, but their coefficients are different, and that the quantum fluctuations of the voltage and current of each branch circuit are affected by the dissipative resistance.