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This paper presents a detailed theoretical review of the amplification process in Josephson Parametric Amplifiers (JPAs), which are crucial for quantum-limited signal amplification in superconducting circuits. The paper begins by outlining…

Quantum Physics · Physics 2025-07-31 Rajlaxmi Bhoite , Shraddhanjali Choudhury

We introduce a novel near-quantum-limited amplifier with a large tunable bandwidth and high dynamic range - the Josephson Array Mode Parametric Amplifier (JAMPA). The signal and idler modes involved in the amplification process are realized…

Quantum Physics · Physics 2020-02-18 V. V. Sivak , S. Shankar , G. Liu , J. Aumentado , M. H. Devoret

We develop a theory for non-degenerate parametric resonance in a tunable superconducting cavity. We focus on nonlinear effects that are caused by nonlinear Josephson elements connected to the cavity. We analyze parametric amplification in a…

Quantum Physics · Physics 2017-08-31 Waltraut Wustmann , Vitaly Shumeiko

A normal metal - superconductor hybrid single-electron trap with tunable barrier is utilized as a tool for spectrum analysis at the extremely low signal levels, using only well filtered cryogenic microwave background as a photon source in…

Superconductivity · Physics 2017-04-26 J. S. Lehtinen , E. Mykkänen , A. Kemppinen , D. Golubev , S. V. Lotkhov , A. J. Manninen

Recent improvements in materials growth and fabrication techniques may finally allow for superconducting semiconductors to realize their potential. Here we build on a recent proposal to construct superconducting devices such as wires,…

Mesoscale and Nanoscale Physics · Physics 2015-04-13 Yun-Pil Shim , Charles Tahan

Quantum parametric amplifiers typically generate by operating in proximity to a point of dynamical instability. We consider an alternate general strategy where quantum-limited, large-gain amplification is achieved without any proximity to a…

Quantum Physics · Physics 2025-03-06 A. Metelmann , O. Lanes , T-Z. Chien , A. McDonald , I. Tsiamis , M. Hatridge , A. A. Clerk

We present a theory describing parametric amplification in a Josephson junction embedded transmission line. We will focus on the process of four-wave mixing under the assumption of an undepleted pump. However, the approach taken is quite…

Quantum Physics · Physics 2025-05-21 T. H. A. van der Reep

We have performed a quantum mechanical analysis of travelling-wave parametric amplifiers (TWPAs) in order to investigate five experimental phenomena related to their operations, namely the effect of impedance mismatch, the presence of upper…

Instrumentation and Methods for Astrophysics · Physics 2021-06-29 Songyuan Zhao , Stafford Withington

We have simulated the performance of the Josephson Travelling Wave Parametric Amplifier (JTWPA) based on the one-dimensional array of RF SQUIDs. Unlike the ideal model in which all SQUIDs are assumed to be identical, we allowed variation of…

Superconducting resonator parametric amplifiers are potentially important components for a wide variety of fundamental physics experiments and utilitarian applications. We propose and realise an operating scheme that achieves amplification…

Quantum Physics · Physics 2026-04-15 Songyuan Zhao , Stafford Withington , Christopher Thomas

We develop from first principles the coupled wave equations that describe polarization-sensitive parametric amplification based on four-wave mixing in standard (randomly birefringent) optical fibers. We show that in the small-signal case…

Optics · Physics 2013-01-08 Massimiliano Guasoni , Victor V. Kozlov , Stefan Wabnitz

Low-noise amplifiers are of great importance in the field of quantum technologies. We study a thermally driven parametric amplifier based on a superconductor-insulator-graphene-insulator-superconductor (SIGIS) junction coupled to a…

Mesoscale and Nanoscale Physics · Physics 2024-08-27 Marco Will , Mohammad Tasnimul Haque , Yuvraj Chaudhry , Dmitry Golubev , Pertti Hakonen

We consider how superconducting microwave detector technology might be applied to the readout of cavity-axion haloscopes and similar fundamental physics experiments. Expressions for the sensitivity of two detection schemes are derived: 1) a…

Instrumentation and Detectors · Physics 2024-03-21 Christopher N. Thomas , Stafford Withington , David J. Goldie

We address, using concepts of the microscopic theory of superconductivity, parametric amplifiers and kinetic inductance detectors focusing on the interaction of microwave radiation with the superconducting condensate. This interaction was…

Superconductivity · Physics 2020-03-04 Alexander V Semenov , Igor A Devyatov , Marc P Westig , Teunis M Klapwijk

The relentless scaling of classical microelectronics has been enabled by the precision and reproducibility of deep-ultraviolet (DUV) optical lithography. Implementing large-scale superconducting quantum processors will require cryogenic…

Quantum Physics · Physics 2026-03-17 Hao Li , Marco Scigliuzzo , Evgenii Guzovskii , Seog-Tae Han , Kyungho Han , Tobias J. Kippenberg

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

We present a formalism for modelling parametric amplification by resonators subject to rate-limited nonlinearity of mixed reactive/dissipative character, with particular relevance to superconducting devices. The non-linearity is assumed to…

Mesoscale and Nanoscale Physics · Physics 2022-12-16 Christopher N. Thomas , Stafford Withington , Songyuan Zhao

The measurement of a quantum system is often performed by encoding its state in a single observable of a light field. The measurement efficiency of this observable can be reduced by loss or excess noise on the way to the detector. Even a…

The underlying nonlinear mechanisms behind the operation of travelling-wave parametric amplifiers (TWPAs) are important in determining their performance in terms of added noise, maximum gain, and bandwidth. We describe a method of…

Superconductivity · Physics 2022-10-17 Songyuan Zhao , Stafford Withington , Chris N. Thomas

We report the parametric amplification of a microwave signal in a Kerr medium formed from superconducting qubits. Two mutually coupled flux qubits, embedded in the current antinode of a superconducting coplanar waveguide resonator, are used…

Superconductivity · Physics 2015-06-18 M. Rehak , P. Neilinger , M. Grajcar , G. Oelsner , U. Hubner , E. Ilichev , H. -G. Meyer