Circuit schematic of the resonator, with the loaded impedance of the resonator, the resonator impedance without coupling gap, the capacitance of the coupling gap, the voltage of the source, the current in the load, and the impedance of the throughline.
Power dissipated in an Al microstrip resonator as a function of temperature for different readout frequencies. The low temperature resonance frequency . The readout power is −57 dBm. The dashed line shows the electron-phonon cooling power as a function of temperature according to , for a phonon temperature of 120 mK.
Steady-state temperature of the quasiparticles due to readout-power heating, assuming quasiparticle-phonon limited cooling. The markers correspond to the points of intersection of the heating and cooling curves in Fig. 2. The filled/open symbols show when the temperature is in the first/second stable state. The low temperature resonance frequency .
The resonator response curves, , corresponding to the temperature curves in Fig. 3.
Calculated steady-state temperature of the quasiparticle system due to microwave heating for an Al microstrip resonator, shown as a function of frequency for different readout power levels and with .
The resonator response curves, , corresponding to the temperature curves in Fig. 5.
Experimental resonance curves of an Al coplanar waveguide resonator for different readout power levels. The bath temperature was 81 mK and .
Parameters of the microstrip resonators simulated.
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