Nonlinear Behavior of Josephson Traveling Wave Parametric Amplifiers

Year: 2024

Authors: Guarcello C., Ahrens F., Avallone G., Barone C., Borghesi M., Callegaro L., Carapella G., Caricato AP., Carusotto I., Cian A., D’Elia A., Di Gioacchino D., Enrico E., Falferi P., Fasolo L., Faverzani M., Ferri E., Filatrella G., Gatti C., Giachero A., Giubertoni D., Granata V., Leo A., Labranca D., Ligi C., Maccarrone G., Mantegazzini F., Margesin B., Maruccio G., Mezzena R., Monteduro AG., Moretti R., Nucciotti A., Oberto L., Origo L., Komnang ASP., Pagano S., Piersanti L., Rettaroli A., Rizzato S., Tocci S., Vinante A., Zannoni M.

Autors Affiliation: Univ Salerno, Phys Dept, I-84084 Salerno, Italy; NFN Grp Collegato Salerno, I-84084 Salerno, Italy; CNR, SPIN Salerno Sect, I-84084 Salerno, Italy; Fdn Bruno Kessler, Via Sommarive, I-38123 Trento, Italy; INFN, TIFPA, Via Sommarive, I-38123 Trento, Italy; Univ Milano Bicocca, Dept Phys, Piazza Sci, I-20126 Milan, Italy; INFN Milano Bicocca, Piazza Sci, I-20126 Milan, Italy; Bicocca Quantum Technol BiQuTe Ctr, Piazza Sci, I-20126 Milan, Italy; INRiM Ist Nazl Ric Metrolog, Str Cacce, I-10135 Turin, Italy; Univ Salento, Math & Phys Dept, I-73100 Lecce, Italy; INFN Sezionedi Lecce, I-73100 Lecce, Italy; Univ Trento, CNR INO, I-38123 Trento, Italy; Univ Trento, Phys Dept, I-38123 Trento, Italy; INFN Lab Nazl Frascati, Via Enrico Fermi, I-00044 Frascati, RM, Italy; CNR IFN, Via Sommarive, I-38123 Trento, Italy; Univ Sannio, Sci & Technol Dept, I-82100 Benevento, Italy; INFN Grp Collegato Salerno, I-84084 Fisciano, SA, Italy; Univ Trento, Phys Dept, I-38123 Trento, Italy; INFN, TIFPA, I-38123 Trento, Italy.

Abstract: Recent advancements in quantum technologies and advanced detection experiments have underscored the pressing need for the detection of exceedingly weak signals within the microwave frequency spectrum. Addressing this challenge, the Josephson Traveling Wave Parametric Amplifier (JTWPA) has been proposed as a cryogenic front-end amplifier capable of approaching the quantum noise limit while providing a relevant bandwidth. This research is centered on a comprehensive numerical investigation of the JTWPA, without resorting to simplifications regarding the nonlinearity of the essential components. Specifically, this study focuses on a thorough examination of the system, characterized by coupled nonlinear differential equations representing all components of the device. Proper input and output signals at the device’s boundaries are considered. The analysis of the output signals undergoing the parametric amplification process involves a detailed exploration of phase-space dynamics and Fourier spectral analysis of the output voltage. This study is conducted while considering the parameters ruling the response of the device under pump and signal excitations. In addition to the expected signal amplification, the findings reveal that the nonlinear nature of the system can give rise to unforeseen phenomena, depending on the system’s operational conditions, which include: the generation of pump tone harmonics, modulation of the signal gain, and incommensurate frequency generation-effects that are not easily accommodated by simplistic linearized approaches.

Journal/Review: IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY

Volume: 34 (3)      Pages from: 1701105-1  to: 1701105-5

KeyWords: Inductance; Superconducting microwave devices; Physics; Junctions; Bandwidth; Microwave amplifiers; Frequency modulation; Josephson junctions; josephson travelling wave parametric amplifiers; microwave Amplifiers; parametric amplifiers; superconducting microwave devices
DOI: 10.1109/TASC.2024.3367615

Citations: 1
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