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Article overview
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Nonlinear Effects in Superconducting Thin Film Microwave Resonators | | Christopher N Thomas
; Stafford Withington
; Zhenyuan Sun
; Tess Skyrme
; David J. Goldie
; | | Date: |
6 Jan 2020 | | Abstract: | We discuss how reactive and dissipative non-linearities 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 non-linear 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
non-linearities, 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. | | Source: | arXiv, 2001.2540 | | Services: | Forum | Review | PDF | Favorites | |
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