High-gain and large-bandwidth Josephson parametric amplifier influenced by Fabry-Pérot interference
Authors: Shingo Kono, Jesper Ilves, Arjan F. van Loo, Yoshiki Sunada, C. W. Sandbo Chang, Yutaka Takeda, Kenshi Yuki, Takeaki Miyamura, Kohei Matsuura, Kazuki Koshino, Yasunobu Nakamura
AI-generated Key Points
- High-performance quantum-limited parametric amplifiers are crucial in the realm of quantum technologies operating in the microwave domain.
- Achieving high gain and broad bandwidth in these amplifiers is challenging due to trade-offs such as gain versus bandwidth, pump efficiency, and dynamic range.
- A novel theoretical model and design methodology for a flux-driven Josephson parametric amplifier based on a SQUID array was introduced by Shingo Kono and colleagues.
- The innovative device achieved near-quantum-limited, phase-preserving amplification with a net gain of 20 dB (maximally 44 dB) and a 3-dB bandwidth of approximately 50 MHz (less than or equal to 0.2 MHz).
- The amplifier's gain spectra were found to be sensitive to weak reflections in the input-output waveguide caused by impedance mismatches within the microwave environment.
- By incorporating Fabry-Pérot-type interference into a quantum input-output model, researchers were able to reproduce complex spectral features analytically and determine their dependence on environmental parameters.
- This study provides a practical framework for distinguishing between intrinsic amplifier dynamics and environmental effects, enabling reliable characterization and optimization of amplifier performance.
Abstract: Quantum-limited parametric amplifiers are essential components for many quantum technologies operating in the microwave domain. Achieving both high gain and broad bandwidth, however, remains challenging due to trade-offs between gain and bandwidth, pump efficiency, and dynamic range. Moreover, high-gain broadband amplifiers become increasingly sensitive to their external electromagnetic environment, which can distort their gain spectra and hinder reliable operation. Here, we present an accurate theoretical model and a systematic design methodology for a flux-driven, lumped-element Josephson parametric amplifier based on a SQUID array. Our device achieves near-quantum-limited, phase-preserving amplification with a net gain of 20 (maximally 44) dB and a 3-dB bandwidth of $\sim$50 ($\lesssim$0.2) MHz. We further show that the gain spectra exhibit pronounced sensitivity to weak reflections in the input-output waveguide caused by impedance mismatches in the microwave environment. By incorporating Fabry-Pérot-type interference into a quantum input-output model, we analytically reproduce these complex spectral features and identify how they depend on the physical parameters of the environment. More generally, our results provide a practical framework for separating the intrinsic dynamics of parametric amplifiers from environmental effects. This approach enables reliable characterization and optimization of amplifier performance while providing a systematic strategy for diagnosing microwave reflections and engineering environmental interference to shape amplifier gain spectra, thereby offering a pathway toward robust, reproducible, and truly quantum-limited microwave amplification.
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