Frequency Fluctuations in Tunable and Nonlinear Microwave Cavities
Frequency Fluctuations in Tunable and Nonlinear Microwave Cavities
复制标题
可调谐和非线性微波腔中的频率波动
DOI：
10.1103/physrevapplied.14.054026
复制
发表时间：
2020
影响因子：
4.6
通讯作者：
Rimberg, A. J.
中科院分区：
文献类型：
--
作者：
Brock, B. L.;Blencowe, M. P.;Rimberg, A. J.
我们提出了一个模型的频率波动可比的总腔线宽可能会出现在可调谐和非线性微波腔，以及这些波动如何影响测量的散射矩阵元素。我们将此模型应用到一个双面腔的具体情况下，并获得封闭形式的平均散射矩阵元素在几个重要的情况下的表达式。我们的模型的一个关键签名是复杂平面中的散射矩阵元素扫出的轨迹的微妙变形。尽管有这个特征，波动和非波动模型在性质上是相似的，足以被误认为是另一个。在可调谐腔的情况下，我们表明，如果一个人没有考虑到这些波动，然后发现阻尼率似乎取决于调谐参数，这是一个常见的观察，在这样的系统。在克尔腔的情况下，我们表明，存在一个基本的下限，这些频率波动的规模在稳态下，由量子力学的不确定性，这可以明显地影响腔的表观阻尼率的非线性接近腔线宽的强度。然而，通过使用我们的模型作为实验数据的拟合函数，可以提取腔的真实阻尼率和这些频率波动在散射测量的带宽上的有效尺度。最后，我们比较这种方法观察频率波动的其他方法，其中之一，我们超出了政权的小波动，我们讨论了如何振铃测量可以准确地进行频率波动的存在。
We present a model for how frequency fluctuations comparable to the total cavity linewidth may arise in tunable and nonlinear microwave cavities and how these fluctuations affect the measurement of scattering-matrix elements. We apply this model to the specific case of a two-sided cavity and obtain closed-form expressions for the average scattering-matrix elements in several important cases. A key signature of our model is the subtle deformation of the trajectories swept out by scattering-matrix elements in the complex plane. Despite this signature, the fluctuating and nonfluctuating models are qualitatively similar enough to be mistaken for one another. In the case of tunable cavities, we show that if one fails to account for these fluctuations, then one finds damping rates that appear to depend on the tuning parameter, which is a common observation in such systems. In the case of a Kerr cavity, we show that there exists a fundamental lower bound to the scale of these frequency fluctuations in the steady state, imposed by quantum-mechanical uncertainty, which can appreciably affect the apparent damping rates of the cavity as the strength of the nonlinearity approaches the cavity linewidth. By using our model as a fitting function for experimental data, however, one can extract both the true damping rates of the cavity and the effective scale of these frequency fluctuations over the bandwidth of the scattering measurement. Lastly, we compare this method for observing frequency fluctuations to other methods, one of which we extend beyond the regime of small fluctuations, and we discuss how ringdown measurements can be performed accurately in the presence of frequency fluctuations.
登录
查看更多内容
影响因子：
1.6
作者：
Clark, T. J.;Vadakkumbatt, V.;Davis, J. P.
通讯作者：
Davis, J. P.
超导谐振器品质因数和中心频率的精确实时监测
影响因子：
1.8
作者：
S. D. de Graaf;A. Danilov;S. Kubatkin
通讯作者：
S. Kubatkin
超导谐振器中的慢噪声过程
影响因子：
3.7
作者：
Burnett J
通讯作者：
Burnett J
影响因子：
3.7
作者：
Casparis, L.;Pearson, N. J.;Marcus, C. M.
通讯作者：
Marcus, C. M.
影响因子：
3.6
作者：
Gunnarsson, David;Pirkkalainen, Juha-Matti;Prunnila, Mika
通讯作者：
Prunnila, Mika