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In this work, we develop a comprehensive numerical analysis of the dynamic response of a Josephson Traveling Wave Parametric Amplifier (JTWPA) by varying the driving parameters, with a focus on the pathways leading to chaotic behavior. By…

In this paper, we discuss the behavior of a linear classical parametric amplifier (PA) in the presence of white noise and give theoretical estimates of the noise spectral density based on approximate Green's functions obtained by using…

Classical Physics · Physics 2022-11-08 Adriano A. Batista , A. A. Lisboa de Souza

The addition of nonlinearity to an harmonic resonator provides a route to complex dynamical behaviour of resonant modes, including coupling between them. We present a superconducting device that makes use of the nonlinearity of Josephson…

Quantum Physics · Physics 2014-02-10 G. Tancredi , G. Ithier , P. J. Meeson

We present an efficient, accurate, and comprehensive analysis framework for generic, multi-port nonlinear parametric circuits, in the presence of dissipation from lossy circuit components, based on "quantum-adapted" X-parameters. We apply…

Quantum Physics · Physics 2022-12-01 Kaidong Peng , Rick Poore , Philip Krantz , David E. Root , Kevin P. O'Brien

We present a new theoretical framework to analyze microwave amplifiers based on the dc SQUID. Our analysis applies input-output theory generalized for Josephson junction devices biased in the running state. Using this approach we express…

Superconductivity · Physics 2012-10-11 Archana Kamal , John Clarke , Michel Devoret

Signal clipping is a classic technique for reducing peak-to-average power ratio (PAPR) in orthogonal frequency division multiplexing (OFDM) systems. It has been widely applied in consumer electronic devices owing to its low complexity and…

Signal Processing · Electrical Eng. & Systems 2024-02-20 Yuyang Du , Liang Hao , Yiming Lei , Qun Yang , Shiqi Xu

Nature sets fundamental limits regarding how accurate the amplification of analog signals may be. For instance, a linear amplifier unavoidably adds some noise which amounts to half a photon at best. While for most applications much higher…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 S. Jebari , F. Blanchet , A. Grimm , D. Hazra , R. Albert , P. Joyez , D. Vion , D. Esteve , F. Portier , M. Hofheinz

While the squeezing of a propagating field can, in principle, be made arbitrarily strong, the cavity-field squeezing is subject to the well-known 3 dB limit, and thus has limited applications. Here, we propose the use of a fully quantum…

Quantum Physics · Physics 2022-09-20 Wei Qin , Adam Miranowicz , Franco Nori

The advent of ultra-low noise microwave amplifiers revolutionized several research fields demanding quantum-limited technologies. Exploiting a theoretical bimodal description of a linear phase-preserving amplifier, in this contribution we…

This paper provides a comprehensive overview of the development of flux-driven Josephson Parametric Amplifiers (JPAs) as Quantum Noise Limited Amplifier for axion search experiments conducted at the Center for Axion and Precision Physics…

We present a general approach for analyzing arbitrary parametric processes in Josephson circuits within a single degree of freedom approximation. Introducing a systematic normal-ordered expansion for the Hamiltonian of parametrically driven…

Quantum Physics · Physics 2025-11-17 Roman Baskov , Daniel K. Weiss , Steven M. Girvin

The circuit dynamics constructed by traveling-wave parametric amplifiers (TWPA), using superconducting nonlinear asymmetric elements (SNAILs), are known to be approximately described by the Korteweg-de Vries (KdV) or modified KdV equations…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Daisuke Yamauchi , Haruna Katayama , Norihiro Tanahashi

Josephson traveling wave parametric amplifiers enable the amplification of weak microwave signals close to the quantum limit with large bandwidth, which has a broad range of applications in superconducting quantum computing and in the…

Circulators and directional amplifiers are crucial non-reciprocal signal routing and processing components involved in microwave readout chains for a variety of applications. They are particularly important in the field of superconducting…

Quantum Physics · Physics 2015-11-11 K. M. Sliwa , M. Hatridge , A. Narla , S. Shankar , L. Frunzio , R. J. Schoelkopf , M. H. Devoret

Traveling-wave parametric amplifiers (TWPAs) have become an essential tool for the readout of quantum circuits and the search for dark matter. We report on the implementation of an rf-SQUID-based Josephson TWPA with an average saturation…

Quantum Physics · Physics 2025-09-29 Victor Gaydamachenko , Christoph Kissling , Lukas Grünhaupt

Due to their unique properties as lossless, nonlinear circuit elements, Josephson junctions lie at the heart of superconducting quantum information processing. Previously, we demonstrated a two-layer, submicrometer-scale overlap junction…

Superconducting traveling-wave parametric amplifiers (TWPA) have emerged as highly versatile devices, offering broadband amplification with quantum-limited noise performance. They hold significant potential for addressing the readout…

Quantum Physics · Physics 2025-07-24 M. T. Bell

A tunable, multi-degree-of-freedom, parametrically excited amplifier is introduced as an apparatus capable of shifting slow, weak signals to higher frequencies, by exploiting the amplifier natural resonances via controlled parametric…

Applied Physics · Physics 2018-10-16 Amit Dolev , Izhak Bucher

Superconducting traveling-wave parametric amplifiers (TWPAs) are essential elements for enhancing the signal-to-noise ratio (SNR) and thus the read-out fidelity of superconducting qubits because of their high gain and near quantum-limited…

Quantum Physics · Physics 2026-04-13 Daryoush Shiri , Likai Yang , Saesun Kim , Mohamed A. Hassan , Philip Krantz , Eric T. Holland

Josephson parametric amplifier (JPA) engineering is a significant component in the quantum two-mode squeezed radar (QTMS), to enhance, for instance, radar performance and the detection range or bandwidth. In this study, we apply quantum…