热库中有源LC电路的量子理论

A Quantum Theory of an LC Circuit with a Source in a Thermal Bath

本文通过求解热库中有源LC电路的密度矩阵方程，研究电路状态的时间演化及其稳态特性。结果表明，在零温度热库中有源LC电路的稳态解为相干态，在非零温度热库中其状态的Q分布函数将变宽。

The time-dependent properties and the steady state features of a quantum LC circuit with a source in a thermal bath are studied. It is shown that the steady state will be a coherent state in a zero temperature bath, but the Q-distribution function of the states will become wider in a non-zero temperature bath.