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Capturing Complex Behavior in Josephson Traveling-Wave Parametric Amplifiers

Dixon, T.; Dunstan, J.W.; Long, G.B.; Williams, J.M.; Meeson, P.J.; Shelly, C.D. (2020) Capturing Complex Behavior in Josephson Traveling-Wave Parametric Amplifiers. Physical Review Applied, 14 (3). 034058 ISSN 2331-7019

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We present an extension to the Coupled Mode Equations (CMEs) describing wave-mixing in recently developed Josephson Travelling Wave Parametric Amplifiers (JTWPAs). Circuit simulations performed using WRspice show the full behaviour of the JTWPA allowing propogation of all tones. The basic CMEs containing only pump, signal, and idler propogation prove to be insufficient to capture complex mixing behaviour in the JTWPA. Extension of the CMEs by including additional state vectors in the analytic solutions allows closer agreement between WRspice simulations and the CMEs. We demonstrate a simple framework for the inclusion of extended eigenmodes and through comparison with WRspice make suggestion of the number of additional tones needed to capture the complex behaviour of the JTWPA. We show that WRspice can be used as a design tool for non-linear superconducting circuit components such as the JTWPA.

Item Type: Article
Subjects: Quantum Phenomena > Quantum Information Processing and Communication
Divisions: Quantum Technologies
Identification number/DOI: 10.1103/PhysRevApplied.14.034058
Last Modified: 19 Jan 2021 14:39
URI: http://eprintspublications.npl.co.uk/id/eprint/9025

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