Josephson effects in an alternating current biased transition edge sensor

Authors :: A. G. Kozorezov
Roland den Hartog
Anton J. van der Linden
Jan van der Kuur
Marcel L. Ridder
Toyo Suzuki
Luciano Gottardi
Jan R. Gao
Pourya Khosropanah
R. A. Hijmering
Colin J. Lambert
Marcel P. Bruijn
Hiroki Akamatsu
Publication Year :: 2016
Publisher :: arXiv, 2016.
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.<br />Comment: 4 pages, 4 figures