2015
DOI: 10.1088/0953-2048/28/4/045012
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Electrothermal model of kinetic inductance detectors

Abstract: Abstract. An electrothermal model of Kinetic Inductance Detectors (KIDs) is described. The non-equilibrium state of the resonator's quasiparticle system is characterized by an effective temperature, which because of readout-power heating is higher than that of the bath. By balancing the flow of energy into the quasiparticle system, it is possible to calculate the steady-state large-signal, small-signal and noise behaviour. Resonance-curve distortion and hysteretic switching appear naturally within the framewor… Show more

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Cited by 13 publications
(24 citation statements)
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References 39 publications
(114 reference statements)
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“…The bistability in our detector arises from the fact that the amount of power absorbed from the electrical probe signal used for readout depends on the measured electron temperature itself. Previously, such electrothermal feedback and the associated bifurcation has been studied in the context of kinetic inductance detectors [44][45][46][47]. Analogous thermal effects in optics are also known [48,49].…”
mentioning
confidence: 99%
“…The bistability in our detector arises from the fact that the amount of power absorbed from the electrical probe signal used for readout depends on the measured electron temperature itself. Previously, such electrothermal feedback and the associated bifurcation has been studied in the context of kinetic inductance detectors [44][45][46][47]. Analogous thermal effects in optics are also known [48,49].…”
mentioning
confidence: 99%
“…32,33 In our case, for P lw lower than À77 dBm, s qp is almost constant around 220 ls because the power absorbed from the optical pulses is higher than the one absorbed from the microwave. At higher power, likely for the presence of an electrothermal feedback, 34 the pulse trailing and leading edges follow different trajectories in the IQ plane (Fig. 5), and the pulse decay time can be no longer interpreted as s qp .…”
mentioning
confidence: 99%
“…We also ignore any cable loss or change to the signal from the mixer or filtering (R I , R Q , R 0 = 1 from Ref. 14).…”
Section: Modelled Device Parametersmentioning
confidence: 99%
“…Furthermore, detailed calculations of quasiparticle-photon and quasiparticle-phonon interactions in superconductors 11,12 have shown the quasiparticle-phonon power flow in a superconductor has a significantly different functional form to the normal state electron-phonon power flow expressions typically used, and also changes with readout power, frequency, and bandwidth. 13 Incorporating these findings in a higher level device model, Thomas et al 14 described a extensible framework which combines quasiparticle heating with the electrical behaviour of the res-onator and allows calculation of experimentally relevant measurements. In this work, we explore numerically the implications of the theoretical model for a typical device configuration: an Al thin film resonator with resonant frequency 5 GHz at a bath temperature of 0.1 T c = 0.118 K, where T c is the superconducting critical temperature of Al.…”
Section: Introductionmentioning
confidence: 99%