Josephson effects in an alternating current biased transition edge sensor
Luciano Gottardi, Alex Kozorezov, Hiroki Akamatsu, Jan van der Kuur,, Marcel P. Bruijn, Roland H. den Hartog, Richard Hijmering, Pourya, Khosropanah, Colin Lambert, Anton. J. van der Linden, Marcel L. Ridder, Toyo, Suzuki, Jan R. Gao

TL;DR
This paper presents experimental evidence of the ac Josephson effect in a transition edge sensor (TES) operating at MHz frequencies, supported by theoretical modeling of its non-linear impedance response.
Contribution
It demonstrates the observation of the ac Josephson effect in TES devices and provides a comprehensive theoretical explanation within the resistively shunted junction model.
Findings
Observation of non-linear impedance indicating Josephson effect
Theoretical model matches experimental data
Analysis of noise effects on the Josephson response
Abstract
We report the experimental evidence of the ac Josephson effect in a transition edge sensor (TES) operating in a frequency domain multiplexer and biased by ac voltage at MHz frequencies. The effect is observed by measuring the non-linear impedance of the sensor. The TES is treated as a weakly linked superconducting system and within the resistively shunted junction model framework. We provide a full theoretical explanation of the results by finding the analytic solution of the non-inertial Langevian equation of the system and calculating the non-linear response of the detector to a large ac bias current in the presence of noise.
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