Analytical model of the readout power and SQUID hysteresis parameter dependence of the resonator characteristics of microwave SQUID multiplexers. (1st July 2022)

• Record Type: Journal Article
• Authors: Wegner, M; Enss, C; Kempf, S
• Is Part Of: Superconductor science & technology. Volume 35:Number 7(2022)
• Publication Date: 2022-07-01
• Subjects: microwave SQUID multiplexer -- non-linear Josephson inductance -- Josephson junction -- non-hysteretic rf-SQUID -- cryogenic detector array readout -- superconducting microwave resonators; Superconductivity -- Periodicals; Superconductors -- Periodicals; 537.623
• DOI: 10.1088/1361-6668/ac6d15
• Languages: English
• ISSNs: 0953-2048

Abstract

Abstract: We report on the development of an analytical model describing the readout power and superconducting quantum interference device (SQUID) hysteresis parameter dependence of the resonator characteristics used for frequency encoding in microwave SQUID multiplexers. Within the context of this model, we derived the different dependencies by analyzing the Fourier components of the non-linear response of the non-hysteretic rf-SQUID. We show that our model contains the existing model as a limiting case, leading to identical analytical expressions for small readout powers. Considering the approximations we made, our model is valid for rf-SQUID hysteresis parameters β L < 0.6 which fully covers the parameter range of existing multiplexer devices. We conclude our work with an experimental verification of the model. In particular, we demonstrate a very good agreement between measured multiplexer characteristics and predictions based on our model.