论文标题
电路量子量子动力学模型的耗散性约瑟夫森旅行波参数放大器
Circuit quantum electrodynamic model of dissipative-dispersive Josephson traveling-wave parametric amplifiers
论文作者
论文摘要
我们提出了一个四波混合约瑟夫森旅行波参数放大器的量子机械模型，包括底物损耗和相关的热波动。在假设强烈的不耗尽的经典泵音的假设下，我们使用参考时间范围（包括色散）的运动时间方程式得出了弱信号光子场的玻色子歼灭算子的分析解决方案。从这个结果，我们可以预测由于非零底物损失，约瑟夫森旅行波参数放大器的不对称增益光谱。我们还预测了等效添加的输入噪声，包括量子波动以及热噪声贡献。我们的结果与最近发布的实验数据非常吻合。
We present a quantum mechanical model for a four-wave mixing Josephson traveling-wave parametric amplifier including substrate losses and associated thermal fluctuations. Under the assumption of a strong undepleted classical pump tone, we derive an analytic solution for the bosonic annihilation operator of the weak signal photon field using temporal equations of motion in a reference timeframe, including chromatic dispersion. From this result, we can predict the asymmetric gain spectrum of a Josephson traveling-wave parametric amplifier due to non-zero substrate losses. We also predict the equivalent added input noise including quantum fluctuations as well as thermal noise contributions. Our results are in excellent agreement with recently published experimental data.
