介观含源RLC并联电路的量子涨落

Quantum Fluctuations in Mesoscopic Parallel RLC Circuit with Source

由于耗散的存在 ,介观RLC并联电路中的磁通量和电荷不是一对线性厄米算符 .因此 ,构造了一对正则变量 ,并用该对正则变量作为算符实现了含源介观RLC并联电路的量子化 .在外源作用下 ,介观RLC并联电路系统由初始本征态将演化到平移Fock态 .在平移Fock态中 。

Because of dissipation,the magnetic flux Φ^ and charge q^ of the mesoscopic RLC parallel circuit are not a pair of linear Hermitian operators. So we construct a pair of canonical variables. Using this a pair of canonical variables, we quantize the mesoscopic RLC parallel circuit with external source. It will evolve from the eigenstate at the initial time to a displaced Fock state under the influence of external source. Therefore, the quantum fluctuations of the magnetic flux and charge of the circuit are investigated in this displaced Fock State