The physics of superconducting microwave resonators

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Electric field spectroscopy of material defects in transmon qubits (2019, background): “From this TLS density, a dielectric loss tangent [32] tan δ0,p = πP0,p p (2)(3 0 r) −1 ≈ 1.”
Two Level System Loss in Superconducting Microwave Resonators (2011, methodology): “However, we give a brief summary of the theoretical treatment, recently given by Gao [12] and originally derived by Hunklinger [13], in order to show the equivalence between loss measurements at low power and the frequency shifts at high power.”
Superconducting Microresonators: Physics and Applications (2012, methodology): “These predictions of TLS theory have been verified very well in experiments (24, 56, 73, 74), through measurements of the temperature dependence of the resonant frequency and of the quality factor of superconducting microresonators at temperatures T << Tc.”
Hybridizing ferromagnetic magnons and microwave photons in the quantum limit. (2014, background): “Note that an analogous behavior has been seen, for example, in superconducting coplanar waveguide resonators [28].”