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This paper illustrates a unified approach, classical circuit and control theories, to study a nonlinear LC circuit with a current dependent inductance as model of the Josephson junction, the mathematical analysis is complemented with…

Signal Processing · Electrical Eng. & Systems 2019-02-11 Alberto Delgado

Josephson junctions constructed from superconductor-semiconductor-superconductor heterostructures have been used to realize a variety of voltage-tunable superconducting quantum devices, including qubits and parametric amplifiers. To date…

Mesoscale and Nanoscale Physics · Physics 2025-06-03 Utkan Güngördü , Rusko Ruskov , Silas Hoffman , Kyle Serniak , Andrew J. Kerman , Charles Tahan

We review recent theoretical and experimental progress in quantum state engineering with Josephson junction devices. The concepts of quantum computing have stimulated an increased activity in the field. Either charges or phases (fluxes) of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Gerd Schoen , Alexander Shnirman

The effect of external radiation on the phase dynamics of Josephson junctions shunted by an LC circuit is examined. It is shown that additional resonant circuit (rc) branches appear in the current voltage characteristics of the junctions…

Superconductivity · Physics 2014-05-16 Yu. M. Shukrinov , I. R. Rahmonov , K. V. Kulikov , P. Seidel

We present an electronic circuit whose dynamical properties emulate those of a resistively and capacitively shunted Josephson junction (RCSJ). We show how it reproduces the switching properties of a shunted junction and its dependence on…

Superconductivity · Physics 2021-12-01 Aeron McConnell , Sara Idris , Brian Opatosky , François Amet

We investigate experimentally the physics of quantum phase slips in one-dimensional Josephson Junction chains. These quantum phase-slips are induced by quantum phase fluctuations occurring on single junctions of the chain. In our experiment…

Superconductivity · Physics 2015-05-14 I. M. Pop , I. Protopopov , F. Lecocq , Z. Peng , B. Pannetier , O. Buisson , W. Guichard

Circuit quantum electrodynamics (QED) has emerged as a promising platform for implementing quantum computation and simulation. Typically, junctions in these systems are of a sufficiently small size, such that only the lowest plasma…

Quantum Physics · Physics 2025-09-22 Andrey Grankin , Alicia J. Kollár , Mohammad Hafezi

Theoretically, Josephson junction (JJ) arrays can exhibit either a superconducting or insulating state, separated by a quantum phase transition (QPT). In this work, we analyzed published data on QPTs in three one-dimensional arrays and two…

Superconductivity · Physics 2024-11-12 Samuel Feldman , Andrey Rogachev

The Josephson junction phase qubit has been shown to be a viable candidate for quantum computation. In recent years, the two coupled phase system has been extensively studied theoretically and experimentally. We have analyzed the quantum…

Superconductivity · Physics 2009-08-21 Zechariah E. Thrailkill , S. T. Kennerly , R. C. Ramos

We study theoretically dynamics in a Josephson junction coupled to a mechanical resonator looking at the signatures of the resonance in d.c. electrical response of the junction. Such a system can be realized experimentally as a suspended…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 C. Padurariu , C. J. H. Keijzers , Yu. V. Nazarov

Thermodynamics and transport properties of resistance-shunted Josephson junctions are studied theoretically in the tight-binding limit E_C/E_J<<1, where E_C and E_J are a charging energy and a Josephson coupling energy respectively. Based…

Superconductivity · Physics 2007-05-23 Takeo Kato , Masatoshi Imada

Low-capacitance Josephson junction arrays in the parameter range where single charges can be controlled are suggested as possible physical realizations of the elements which have been considered in the context of quantum computers. We…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Alexander Shnirman , Gerd Schoen , Ziv Hermon

Two-level system fluctuators (TLS's) in the tunnel barrier of a Josephson junction have recently been demonstrated to cause novel energy splittings in spectroscopic measurements of superconducting phase qubits. With their strong coupling to…

Quantum Physics · Physics 2015-05-13 L. Tian , K. Jacobs

The fractional AC Josephson effect is a discerning property of topological superconductivity in hybrid Josephson junctions. Recent experimental observations of missing odd Shapiro steps and half Josephson frequency emission in various…

We show that two capacitively-coupled Josephson junctions, in the quantum limit, form a simple coupled qubit system with effective coupling controlled by the junction bias currents. We compute numerically the energy levels and wave…

In the presence of an AC drive, multiterminal Josephson junctions exhibit the inverse AC Josephson effect, where the oscillations of the superconducting phase of each junction can lock onto one another or onto the external drive. The…

Superconductivity · Physics 2022-11-23 François Amet , Sara Idris , Aeron McConnell , Brian Opatosky , Ethan Arnault

We investigate the physics of coherent quantum phase slips in two distinct circuits containing small Josephson junctions: (i) a single junction embedded in an inductive environment and (ii) a long chain of junctions. Starting from the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 W. Guichard , F. W. J. Hekking

While Josephson junctions can be viewed as highly non-linear impedances for superconducting quantum technologies, they also possess internal dynamics that may strongly affect their behavior. Here, we construct a computational framework that…

Superconductivity · Physics 2019-05-29 Benoit Rossignol , Thomas Kloss , Xavier Waintal

We report a theoretical study of the macroscopic quantum dynamics in spatially extended Josephson systems. We focus on a Josephson tunnel junction of finite length placed in an externally applied magnetic field. In such a system,…

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

Half a century after its discovery, the Josephson junction has become the most important nonlinear quantum electronic component at our disposal. It has helped reshape the SI system around quantum effects and is used in scores of quantum…

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