Josephson-kanavatransistori-pohjaisten parametrivahvistimien suunnittelu ja simulaatio
Juulia Kirjavainen
Abstract
Cryogenic, ultralow-noise microwave amplification is critical in superconducting qubit readout, microwave detection, and space technology. Josephson parametric amplifiers (JPAs) are widely used in microwave amplification. Parametric amplification occurs because a nonlinear element and a strong pump enable frequency mixing. The core component of a JPA is a Josephson junction, which acts as a nonlinear inductor and is formed by a thin layer of insulator or normal metal sandwiched between two superconductors. However, gate-controlled Josephson field-effect transistors (JoFETs) have been less studied in this context. In particular, graphene-based JoFETs have shown promising results in terms of scalability and electrostatic control, which could provide an alternative to magnetic field control. The aim of this thesis is to study graphene-based JoFETs as a nonlinear element in superconducting parametric amplifiers. The study was carried out as a literature review and circuit-level simulations using Keysight Advanced Design System (ADS) software. At first, an LC resonator-based JPA was implemented, in which the nonlinear element was a Verilog-A model of a nonlinear Josephson inductance. Harmonic balance (HB) simulation was performed to study the bandwidth, and gain as a function of signal frequency and the dependence on pump power. It showed that parametric gain occurs only when the pump is on. 30 dB gain and 290 MHz bandwidth were achieved. As the gain increased, the bandwidth became narrower. Finally, a gate-pumped JPA using a JoFET was simulated. The JoFET was implemented using a Verilog-A model, which was based on measurements by VTT of their graphene JoFETs. HB simulations showed the electrostatic control of the gate-pumped JPA and gain-bandwidth trade-off typical of JPAs. 15–35 dB gain and 150 MHz bandwidth were obtained, and the resonance frequency could be adjusted with the DC gate voltage. Overall, the observed behavior corresponds well with the reported results for JPAs and fabricated JoFET JPAs. These findings suggest that graphene JoFETs enable parametric gain that can be controlled electrostatically. Although their noise levels may not meet the requirements of quantum computers, they could be useful in other demanding applications, such as space technology.