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

Journal of Applied Physics

Small inductance approximation of phase locking in multijunction SQUIDs

B. Frank, Wolfram Krech, K. Yu. Platov

Published Aug 1, 1998• 2 citations
Publisher

Abstract

We present a theoretical analysis of the dynamics of multijunction superconducting quantum interference devices (SQUIDs). The small inductance approximation allows to get analytical expressions for the Josephson phases and voltages, taking into account a finite value of the inductance of the SQUID cells. Contrary to most theoretical investigations which exploited the first-harmonic approximation approach, our results describe the behavior of the circuit for small values of the Josephson frequency as well. Analytical results have been shown to be in a good agreement with numerical simulations.

DOI
10.1063/1.368211

Related papers

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

Amplification by the phase-locking mechanism in a four-junction SQUID

Donald G. McDonald

It is shown that the phase-locking property of an array of Josephson junctions can be used as a basis for amplification. The particular device simulated is a superconducting quantum interference device (SQUID) with four junctions in the loop, rather than the usual one or two. Novel consequences of this design are that it allows direct rather than inductive coupling to the SQUID and, because of its potentially compact form, it probably can have a bandwidth well into the gigahertz range, in agreement with the simulations.

Applied Physics Letters•Dec 1, 1984•5 citations

Effective Models of Superconducting Quantum Interference Devices

R. De

It is well known that the electrodynamic properties of SQUIDs (Superconducting Quantum Interference Devices) are obtained by means of the dynamics of the Josephson junctions in these superconducting system (Barone & Paterno, 1982; Likharev, 1986; Clarke & Braginsky, 2004). Due to the intrinsic macroscopic coherence of superconductors, r. f. SQUIDs have been proposed as basic units (qubits) in quantum computing (Bocko et al., 1997). In the realm of quantum computing non-dissipative quantum systems with small (or null) inductance parameter and finite capacitance of the Josephson junctions (JJs) are usually considered (Crankshaw & Orlando, 2001). The mesoscopic non-simply connected classical devices, on the other hand, are generally operated and studied in the overdamped limit with negligible capacitance of the JJs and small (or null) values of the inductance parameter. Nonetheless, r. f. SQUIDs find application in a large variety of fields, from biomedicine to aircraft maintenance (Clarke & Braginsky, 2004), justifying actual scientific interest in them.

InTech eBooks•Oct 17, 2012•0 citations

Shapiro steps in a dc quantum interference device with multiple identical junctions in each arm

Roberto De Luca, Francesco Romeo

Integer and half-integer Shapiro step amplitudes in the current-voltage characteristics of symmetric superconducting quantum interference devices (SQUIDS), containing more than one Josephson junction on each arm, are analytically calculated for small values of the parameter β and in the absence of noise. This analysis is made possible by the reduction of the dynamical equations of the multiple-junction SQUID to the dynamical equation of a single Josephson junction possessing a nonconventional current-phase relation.

Journal of Applied Physics•Oct 1, 2005•5 citations

Static characteristics of superconducting quantum interference devices utilizing the equivalent inductance of Josephson junctions

Yoshinao Mizugaki, Koji Nakajima

It is necessary to miniaturize inductors for large-scale integration of Josephson devices. Utilizing the equivalent inductance of Josephson junctions is one promising method to realize small inductors. In this paper we calculate the static characteristics of some superconducting quantum interference devices (SQUIDs) utilizing the equivalent inductance, and we compare the results with those of SQUIDs employing the normal inductors. We also discuss the current distribution before and after the transition of the gate junctions. © 1998 Scripta Technica, Electron Comm Jpn Pt 2, 81(6): 1–7, 1998

Electronics and Communications in Japan (Part II Electronics)•Jun 1, 1998•0 citations

Local tunability in a multi-port SQUID by an injection current

Zuyu Xu, Wanghao Tian, Shixian Chen +12 more

Abstract The tunability in Josephson junctions is foundational to the superconducting classical and quantum applications. Here, we demonstrate the local manipulation of supercurrent realized in a superconducting quantum interference device (SQUID) with two Nb/TiO x /Nb Josephson junctions that is biased at the TiO x layer. Our measurements indicate that the multi-port device allows for an easy and in situ tunability of the supercurrent. The control mechanism can be finely explained by simple yet valid theoretical methods, which take an effective electronic temperature across the SQUID and the self inductive magnetic flux into account. Furthermore, we show that the phase difference and kinetic inductance of this device can be tuned locally via the injection current. Thus, the device provides perspective for several superconducting electronics such as tunable superconducting circuits, sensitive magnetometry, and fast digital elements.

Superconductor Science and Technology•Oct 19, 2021•3 citations
We present a theoretical analysis of the dynamics of multijunction superconducting quantum interference devices (SQUIDs). The small inductance approximation allows to get analytical expressions for the Josephson phases and voltages, taking into account a finite value of the inductance of the SQUID cells. Contrary to most theoretical investigations which exploited the first-harmonic approximation approach, our results describe the behavior of the circuit for small values of the Josephson frequency as well. Analytical results have been shown to be in a good agreement with numerical simulations.
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.
It is shown that the phase-locking property of an array of Josephson junctions can be used as a basis for amplification. The particular device simulated is a superconducting quantum interference device (SQUID) with four junctions in the loop, rather than the usual one or two. Novel consequences of this design are that it allows direct rather than inductive coupling to the SQUID and, because of its potentially compact form, it probably can have a bandwidth well into the gigahertz range, in agreement with the simulations.
It is well known that the electrodynamic properties of SQUIDs (Superconducting Quantum Interference Devices) are obtained by means of the dynamics of the Josephson junctions in these superconducting system (Barone & Paterno, 1982; Likharev, 1986; Clarke & Braginsky, 2004). Due to the intrinsic macroscopic coherence of superconductors, r. f. SQUIDs have been proposed as basic units (qubits) in quantum computing (Bocko et al., 1997). In the realm of quantum computing non-dissipative quantum systems with small (or null) inductance parameter and finite capacitance of the Josephson junctions (JJs) are usually considered (Crankshaw & Orlando, 2001). The mesoscopic non-simply connected classical devices, on the other hand, are generally operated and studied in the overdamped limit with negligible capacitance of the JJs and small (or null) values of the inductance parameter. Nonetheless, r. f. SQUIDs find application in a large variety of fields, from biomedicine to aircraft maintenance (Clarke & Braginsky, 2004), justifying actual scientific interest in them.
Integer and half-integer Shapiro step amplitudes in the current-voltage characteristics of symmetric superconducting quantum interference devices (SQUIDS), containing more than one Josephson junction on each arm, are analytically calculated for small values of the parameter β and in the absence of noise. This analysis is made possible by the reduction of the dynamical equations of the multiple-junction SQUID to the dynamical equation of a single Josephson junction possessing a nonconventional current-phase relation.
It is necessary to miniaturize inductors for large-scale integration of Josephson devices. Utilizing the equivalent inductance of Josephson junctions is one promising method to realize small inductors. In this paper we calculate the static characteristics of some superconducting quantum interference devices (SQUIDs) utilizing the equivalent inductance, and we compare the results with those of SQUIDs employing the normal inductors. We also discuss the current distribution before and after the transition of the gate junctions. © 1998 Scripta Technica, Electron Comm Jpn Pt 2, 81(6): 1–7, 1998
Abstract The tunability in Josephson junctions is foundational to the superconducting classical and quantum applications. Here, we demonstrate the local manipulation of supercurrent realized in a superconducting quantum interference device (SQUID) with two Nb/TiO x /Nb Josephson junctions that is biased at the TiO x layer. Our measurements indicate that the multi-port device allows for an easy and in situ tunability of the supercurrent. The control mechanism can be finely explained by simple yet valid theoretical methods, which take an effective electronic temperature across the SQUID and the self inductive magnetic flux into account. Furthermore, we show that the phase difference and kinetic inductance of this device can be tuned locally via the injection current. Thus, the device provides perspective for several superconducting electronics such as tunable superconducting circuits, sensitive magnetometry, and fast digital elements.