Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Review of Scientific Instruments

Analog simulator of a Josephson quantum interference device

David B. Tuckerman

Published Jun 1, 1978• 13 citations
Publisher

Abstract

An analog simulator of a two-junction Josephson quantum interferometer has been constructed. The simulator contains novel Josephson junction models in which the superconducting phase appears explicitly. It further contains models of superconducting inductances and a nonlinear feedback circuit to enforce the proper phase constraint around the superconducting loop.

DOI
10.1063/1.1135624

Related papers

Dynamics of double-Josephson-junction interferometers

James A. Blackburn, H. Smith

The behavior of a superconducting loop containing two Josephson junctions has been studied by means of computer simulations. It is found that a current-biased system can exhibit various dynamical modes in which flux quanta alternately enter and leave the loop through the junctions. The nature of these coupled oscillations and their dependence on device parameters are discussed.

Journal of Applied Physics•Apr 1, 1978•14 citations

Resonance phenomena in asymmetric superconducting quantum interference devices

T. P. Polak, E. Sarnelli

The theory of self-induced resonances in asymmetric two-junction interferometer device is presented. In real devices, it is impossible to have an ideal interferometer free of imperfections. Thus, we extended previous theoretical approaches, introducing a model that contains several asymmetries: Josephson current $ϵ$, capacitances $\ensuremath{\chi}$, and dissipation $\ensuremath{\rho}$ presented in an equivalent circuit. Moreover, nonconventional symmetry of the order parameter in high temperature superconducting quantum interference devices forced us to include phase asymmetries. Therefore, the model has been extended to the case of $\ensuremath{\pi}$-shift interferometers, where a phase shift is present in one of the junctions.

arXiv:0707.4395•Physical Review B•Jul 30, 2007•5 citations

Dynamic properties of a superconducting quantum interference device containing arrays of Josephson junctions

Marian Darula, P. Seidel, F. H. Busse +1 more

The dynamic properties of a superconducting quantum interference device (SQUID) containing arrays of Josephson junctions in a superconducting loop, and in particular the case of a four-junction SQUID, is analyzed theoretically via computer simulations. It is shown that phase locking of Josephson junctions determines the dynamic behavior of the SQUID. In the case of a stable phase-lock state hysteretic I-V curves as well as unusual voltage-flux dependencies appear. The influence of a small spread in the Josephson junction parameters upon the stability of the phase-lock state is investigated in parameter space.

Journal of Applied Physics•Aug 15, 1993•21 citations

Electronic simulation of multi-Josephson-junction circuits

Victor K. Kornev, K. Yu. Platov, Konstantin K. Likharev

A high-speed electronic analog for high-accuracy simulation of complex multi-Josephson-junction circuits has been developed. The analog contains only two types of special cicuits, A and B, interconnected with a simple high-frequency commutation circuit and several ordinary operational low-frequency amplifiers. With our present five-junction version of the analog, several problems of urgent interest have been solved, including those of chaos excitation in the double-junction interferometer and mutual phase locking in multi-tunnel-junction arrays.

IEEE Transactions on Magnetics•Mar 1, 1985•5 citations

Bistable All-Josephson Junction SQUID with Dual Φ-Junctions for State-Controlled Superconducting Circuits

Ayisat Adedokun, Yerzhan Mustafa, Selçuk Köse

A bistable superconducting quantum interference device (SQUID) exclusively comprising Josephson junctions (JJs) is proposed. The design integrates two $2 \Phi$-JJs within the loop structure, while the state of the SQUID is monitored through a conventional $2 \pi$-periodic $\mathbf{J J}$ ($\mathbf{0}$-JJ). This configuration eliminates the need for geometric inductors, leveraging the nonlinear phase dynamics for bistability. Extensive simulations confirm robust bistable operation under controlled external flux bias, positioning the proposed SQUID as an area-efficient building block for superconducting memory cells, sensors for various applications, and SFQ-compatible logic elements.

IEEE Computer Society Annual Symposium on VLSI•Jul 6, 2025•1 citation

On limiting magnetic field sensitivity of superconducting quantum interferometer with two Josephson junctions

С. И. Бондаренко

On limiting magnetic field sensitivity of superconducting quantum interferometer with two Josephson junctions was published in SQUID - Superconducting Quantum Interference Devices and their Applications on page 297.

De Gruyter eBooks•Dec 31, 1977•0 citations
An analog simulator of a two-junction Josephson quantum interferometer has been constructed. The simulator contains novel Josephson junction models in which the superconducting phase appears explicitly. It further contains models of superconducting inductances and a nonlinear feedback circuit to enforce the proper phase constraint around the superconducting loop.
The theory of self-induced resonances in asymmetric two-junction interferometer device is presented. In real devices, it is impossible to have an ideal interferometer free of imperfections. Thus, we extended previous theoretical approaches, introducing a model that contains several asymmetries: Josephson current ϵϵϵ, capacitances $\ensuremath{\chi}$, and dissipation $\ensuremath{\rho}$ presented in an equivalent circuit. Moreover, nonconventional symmetry of the order parameter in high temperature superconducting quantum interference devices forced us to include phase asymmetries. Therefore, the model has been extended to the case of $\ensuremath{\pi}$-shift interferometers, where a phase shift is present in one of the junctions.
The dynamic properties of a superconducting quantum interference device (SQUID) containing arrays of Josephson junctions in a superconducting loop, and in particular the case of a four-junction SQUID, is analyzed theoretically via computer simulations. It is shown that phase locking of Josephson junctions determines the dynamic behavior of the SQUID. In the case of a stable phase-lock state hysteretic I-V curves as well as unusual voltage-flux dependencies appear. The influence of a small spread in the Josephson junction parameters upon the stability of the phase-lock state is investigated in parameter space.
A high-speed electronic analog for high-accuracy simulation of complex multi-Josephson-junction circuits has been developed. The analog contains only two types of special cicuits, A and B, interconnected with a simple high-frequency commutation circuit and several ordinary operational low-frequency amplifiers. With our present five-junction version of the analog, several problems of urgent interest have been solved, including those of chaos excitation in the double-junction interferometer and mutual phase locking in multi-tunnel-junction arrays.
A bistable superconducting quantum interference device (SQUID) exclusively comprising Josephson junctions (JJs) is proposed. The design integrates two 2Φ2 \Phi2Φ-JJs within the loop structure, while the state of the SQUID is monitored through a conventional 2π2 \pi2π-periodic JJ\mathbf{J J}JJ (0\mathbf{0}0-JJ). This configuration eliminates the need for geometric inductors, leveraging the nonlinear phase dynamics for bistability. Extensive simulations confirm robust bistable operation under controlled external flux bias, positioning the proposed SQUID as an area-efficient building block for superconducting memory cells, sensors for various applications, and SFQ-compatible logic elements.