Nonlinear effects in superconducting thin film microwave resonators

Nonlinear effects in superconducting thin film microwave resonators
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超导薄膜微波谐振器的非线性效应

DOI:
10.1088/1367-2630/ab97e8
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发表时间:
2020
影响因子:
3.3
通讯作者:
Thomas C
Thomas C
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Thomas C

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我们讨论反应性和耗散非线性如何影响超导薄膜谐振器的本征响应。我们解释了如何通过一个模型来描述大多数(如果不是全部)常见的复杂现象,其中基础谐振是单极洛伦兹,但其中心频率和品质因数随着外部参数(例如读出功率和频率)的变化而变化。在矢量网络分析仪测量过程中看到的是从理想洛伦兹方程中获取的一系列样本,随着读出频率的改变,这些样本正在移动和扩展。根据该模型,即使扫频曲线出现高度失真和滞后,参考和测量基础谐振的谐振频率和品质因数也是完全正确的。在共振曲线高度扭曲的情况下,Argand 平面中轨迹的特定形状为当前的二阶物理过程提供了有价值的见解。我们讨论了在非线性运动电感、两级系统损耗、准粒子生成和基于幂律形式的通用模型的情况下该方法的公式和结果。通用模型捕获了特定耗散非线性的关键特征,但还可以深入了解一般耗散过程如何在阿尔甘平面中创建特征形式。我们提供了每种情况的详细公式,并指出它们如何导致实验数据中常见的各种现象。我们还解释了如何从这些数据中提取潜在共振的属性。总的来说,我们的论文提供了一个独立的行为纲要,它将帮助从业者解释和确定来自失真扫频测量的重要参数。
We discuss how reactive and dissipative nonlinearities affect the intrinsic response of superconducting thin-film resonators. We explain how most, if not all, of the complex phenomena commonly seen can be described by a model in which the underlying resonance is a single-pole Lorentzian, but whose centre frequency and quality factor change as external parameters, such as readout power and frequency, are varied. What is seen during a vector-network-analyser measurement is series of samples taken from an ideal Lorentzian that is shifting and spreading as the readout frequency is changed. According to this model, it is perfectly proper to refer to, and measure, the resonant frequency and quality factor of the underlying resonance, even though the swept-frequency curves appear highly distorted and hysteretic. In those cases where the resonance curve is highly distorted, the specific shape of the trajectory in the Argand plane gives valuable insights into the second-order physical processes present. We discuss the formulation and consequences of this approach in the case of nonlinear kinetic inductance, two-level-system loss, quasiparticle generation, and a generic model based on a power-law form. The generic model captures the key features of specific dissipative nonlinearities, but additionally leads to insights into how general dissipative processes create characteristic forms in the Argand plane. We provide detailed formulations in each case, and indicate how they lead to the wide variety of phenomena commonly seen in experimental data. We also explain how the properties of the underlying resonance can be extracted from this data. Overall, our paper provides a self-contained compendium of behaviour that will help practitioners interpret and determine important parameters from distorted swept-frequency measurements.
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