有互感的介观电容耦合电路的量子涨落(英文)

通过正则变换和幺正变换的方法研究了有互感存在的情况下的介观电容耦合电路的量子涨落。结果表明当电路元件确定的时候,尤其是当L1/L2的值很小的时候,随着耦合程度的加深,一个回路的电荷的涨落很小,而另一个回路的电荷的涨落很大。

耗散介观电容耦合电路的量子效应

从经典耗散介观电容耦合电路出发,研究了耗散介观电容耦合电路,在占有数表象中,计算了每个回路的电荷和电流的量子涨落。结果表明,每个回路中的电荷和电流的量子涨落不仅与自身回路的器件参数有关,同时还与另一回路的器件参数有关。

耗散介观电容耦合电路的量子涨落

给出耗散介观电容耦合电路的量子化 ,在此基础上研究电荷和电流在能量本征态下的量子涨落 。

耗散介观电容耦合电路的量子化

通过正则化变换 ,研究了耗散介观电容耦合电路的量子化 ,并讨论了系统中电荷和广义电流的量子涨落 .

介观含时电容耦合电路中压缩的产生及其在有限温度下的量子涨落

从电容和电感随时间变化的介观电容耦合电路的经典运动方程出发 ,在给定初始条件下 ,精确求解了电荷和电流涨落的时间演化规律 ,并考虑了温度对涨落的影响 .在这样的电路中可以产生压缩 。

无耗散介观电感电容共同耦合电路的量子化

由无耗散介观电感、电容共同耦合的双网孔电路具有电荷和电流双运动耦合的哈密顿出发,讨论无耗散介观电感、电容共同耦合电路的量子化方案,在此基础上进一步讨论两种特殊情况.

Quantum fluctuations of mesoscopic damped mutual capacitance coupled double resonance RLC circuit in thermal excitation state

Mesoscopic damped mutual capacitance coupled double resonance circuit is quantized by the method of damped harmonic oscillator quantization. Hamiltonian is diagonalized by the method of unitary transformation. The energy spectra of this circuit are given. The quantum fluctuations of the charge and current of each loop are investigated by the method of thermo- field dynamics (TFD) in thermal excitation state,thermal squeezed vacuum state, thermal vacuum state and vacuum state. It is shown that the quantum fluctuations of the charge and current are related to not only circuit inherent parameter and coupled magnitude, but also quantum number of excitation, squeezed coefficients, squeezed angle and environmental temperature. And the quantum fluctuations increase with the increase of temperature and decay with time.