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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…

Obstacles to the two-line Josephson traveling wave parametric amplifier (JTWPA) designs, aimed at increasing the allowed pump wave energy and, hence, the gain growth through the combination of linear and nonlinear lines as pump and signal…

Superconductivity · Physics 2025-01-29 Victor K. Kornev , Alena N. Nikolaeva , Nikolay V. Kolotinskiy

We consider the discrete series-connected lossy Josephson transmission line, constructed from Josephson junctions, capacitors and resistors (one-dimensional array of Josephson junctions). We derive equations describing pump, signal, and…

Superconductivity · Physics 2024-07-01 Eugene Kogan

We present a lumped-element Josephson parametric amplifier designed to operate with strong coupling to the environment. In this regime, we observe broadband frequency dependent amplification with multi-peaked gain profiles. We account for…

We characterize a novel Josephson parametric amplifier based on a flux-tunable quarter-wavelength resonator. The fundamental resonance frequency is ~1GHz, but we use higher modes of the resonator for our measurements. An on-chip tuning line…

Mesoscale and Nanoscale Physics · Physics 2015-11-12 M. Simoen , C. W. S. Chang , P. Krantz , Jonas Bylander , W. Wustmann , V. Shumeiko , P. Delsing , C. M. Wilson

We describe a wide-band Josephson Parametric Amplifier (JPA) that is impedance-matched using an integrated compact superconducting transmission line transformer. The impedance transformer consists of two broadside coupled transmission lines…

Quantum Physics · Physics 2022-09-20 Leonardo Ranzani , Guilhem Ribeill , Brian Hassick , Kin Chung Fong

We review recent advances in the research on quantum parametric phenomena in superconducting circuits with Josephson junctions. We discuss physical processes in parametrically driven tunable cavity and outline theoretical foundations for…

Quantum Physics · Physics 2019-08-16 Waltraut Wustmann , Vitaly Shumeiko

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

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

We propose a scheme for implementing cross Kerr nonlinearity between two superconducting transmission line resonators (TLR) via their interaction with a coupler which is constructed by two superconducting charge qubits connected to each…

Quantum Physics · Physics 2015-05-20 Yong Hu , Guo-Qin Ge , Shi Chen , Xiao-Fei Yang , You-Ling Chen

Amplifiers based on Josephson junctions allow for a fast and noninvasive readout of superconducting qubits. Motivated by the ongoing progress toward the realization of fault-tolerant qubits based on Majorana bound states, we investigate the…

Superconductivity · Physics 2021-07-19 Samuel Boutin , Pedro L. S. Lopes , Anqi Mu , Udson C. Mendes , Ion Garate

We report an experimental and theoretical study of the phase diffusion in small Josephson junctions under microwave irradiation. A peculiar enhancement of the phase diffusion by microwaves is observed. The enhancement manifests itself by a…

Superconductivity · Physics 2009-11-10 Y. Koval , M. V. Fistul , A. V. Ustinov

Josephson parametric amplifiers (JPA) have become key devices in quantum science and technology with superconducting circuits. In particular, they can be utilized as quantum-limited amplifiers or as a source of squeezed microwave fields.…

Nondegenerate Josephson mixers (JMs), formed by coupling two different transmission-line resonators to Josephson ring modulators (JRMs), are vital and versatile devices capable of processing microwave signals at the quantum limit. Owing to…

We present a new quantum-limited Josephson-junction-based 3-wave-mixing parametric amplifier, the SNAIL Parametric Amplifier (SPA), which uses an array of SNAILs (Superconducting Nonlinear Asymmetric Inductive eLements) as the source of…

Quantum Physics · Physics 2018-12-21 N. E. Frattini , V. V. Sivak , A. Lingenfelter , S. Shankar , M. H. Devoret

We realize and characterize a quantum-limited, directional Josephson amplifier suitable for qubit readout. The device consists of two nondegenerate, three-wave-mixing amplifiers that are coupled together in an interferometric scheme,…

Instrumentation and Detectors · Physics 2018-01-29 Baleegh Abdo , Nick Bronn , Oblesh Jinka , Salvatore Olivadese , Markus Brink , Jerry M. Chow

Two-mode squeezed vacuum states are a crucial component of quantum technologies. In the microwave domain, they can be produced by Josephson ring modulator which acts as a three-wave mixing non-degenerate parametric amplifier. Here, we solve…

Quantum Physics · Physics 2023-03-29 Dong Hwan Kim , Su-Yong Lee , Zaeill Kim , Taek Jeong , Duk Y. Kim

The Josephson effects associated with quantum tunneling of Cooper pairs manifest as nonlinear relations between the superconductivity phase difference and the bias current and voltage. Many novel phenomena appear, such as Shapiro steps in…

Superconductivity · Physics 2010-04-21 Xiao Hu , Shi-Zeng Lin

Existing unrepeatered submarine links are increasingly upgraded to the most advanced modulation format currently available for commercial applications. Quite often the use of third-order codirectional Raman amplifiers is necessary. Power…

Signal Processing · Electrical Eng. & Systems 2022-11-03 Lutz Rapp

A microscopic theory for the coupling of intrinsic Josephson oscillations due to charge fluctuations on the quasi two-dimensional superconducting layers is presented. Thereby in close analogy to the normal state the effect of the scalar…

Superconductivity · Physics 2009-10-31 Ch. Helm , J. Keller , Ch. Preis , A. Sergeev
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