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Temperature dependence of the frequency and noise of superconducting coplanar waveguide resonators
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View: Figures


Image of FIG. 1.
FIG. 1.

The experimental setup is illustrated. The resonator (not to scale) is shown schematically; black represents the superconducting film; white represents bare substrate. The resonator is excited using a microwave synthesizer, and its output signal is sent to a cooled HEMT amplifier with noise temperature followed by a room-temperature amplifier. Amplitude and phase information are recovered simultaneously using an mixer. The attenuators and allow the incident microwave power to be varied over a wide range while maintaining the optimal power level at the mixer’s input by constraining the sum of the attenuations to be constant (in dB). The output voltages are amplified, digitized, and recorded with resolution at .

Image of FIG. 2.
FIG. 2.

(a) The resonance frequency shift, defined as , is plotted as a function of temperature for readout powers of (filled circle) and (filled square). The dashed line shows the frequency shift predicted by the Mattis–Bardeen theory but scaled up by a factor of 100. The solid lines represent fits to the data using Eq. (2). (b) A plot of the residuals after subtracting the fit from the data; the representative error bar indicates that the fit matches the data to within the accuracy of the thermometry.

Image of FIG. 3.
FIG. 3.

The average value of the fractional frequency noise power spectrum in the range is plotted as a function of temperature for several values of the microwave readout power . The power levels range from , as indicated by the labels on the right. The colored lines show the fit to Eq. (3).


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Temperature dependence of the frequency and noise of superconducting coplanar waveguide resonators