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We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate conditions, Josephson junctions with phase-shifts can have a…

Pattern Formation and Solitons · Physics 2015-03-17 Amir Ali , Hadi Susanto , Jonathan Wattis

It is customary to use arrays of superconducting quantum interference devices (SQUIDs) for implementing magnetic field-tunable inductors. Here, we demonstrate an equivalent tunability in a (SQUID-free) array of single Al/AlOx/Al Josephson…

Superconductivity · Physics 2024-12-10 Roman Kuzmin , Nitish Mehta , Nicholas Grabon , Vladimir E. Manucharyan

In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

In a Josephson junction, the current phase relation relates the phase variation of the superconducting order parameter, $\varphi$, between the two superconducting leads connected through a weak link, to the dissipationless current . This…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Simon Messelot , Nicolas Aparicio , Elie de Seze , Eric Eyraud , Johann Coraux , Kenji Watanabe , Takashi Taniguchi , Julien Renard

We use boundary field theory to describe the phases accessible to a tetrahedral qubit coupled to Josephson junction chains acting as Tomonaga-Luttinger liquid leads. We prove that, in a pertinent range of the fabrication and control…

Superconductivity · Physics 2011-08-11 Antonio Cirillo , Matteo Mancini , Domenico Giuliano , Pasquale Sodano

Graphene-based Josephson junctions provide a novel platform for studying the proximity effect due to graphene's unique electronic spectrum and the possibility to tune junction properties by gate voltage. Here we describe graphene junctions…

We examine the possibility that pertinent impurities in a condensed matter system may help in designing quantum devices with enhanced coherent behaviors. For this purpose, we analyze a field theory model describing Y- shaped superconducting…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. Giuliano , P. Sodano

We study disordered Josephson junctions arrays with long-range interaction and charging effects. The model consists of two orthogonal sets of positionally disordered $N$ parallel filaments (or wires) Josephson coupled at each crossing and…

Condensed Matter · Physics 2016-08-15 T. K. Kopeć , J. V. José

In this work, we manipulate the phase shift of a Josephson junction using a parallel double quantum dot (QD). By employing a superconducting quantum interference device, we determine how orbital hybridization and detuning affect the…

We have probed the current-phase relation of an atomic contact placed with a tunnel junction in a small superconducting loop. The measurements are in quantitative agreement with the predictions of a resistively shunted SQUID model in which…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 M. L. Della Rocca , M. Chauvin , B. Huard , H. Pothier , D. Esteve , C. Urbina

There are two elementary superconducting qubit types that derive directly from the quantum harmonic oscillator. In one the inductor is replaced by a nonlinear Josephson junction to realize the widely used charge qubits with a compact phase…

Gate-tunable Josephson junctions embedded in a microwave environment provide a promising platform to in-situ engineer and optimize novel superconducting quantum circuits. The key quantity for the circuit design is the phase-dependent…

We consider a one-dimensional Josephson junction array, in the regime where the junction charging energy is much greater than the charging energy of the superconducting islands. In this regime we critically reexamine the continuum limit…

Superconductivity · Physics 2009-11-10 V. Gurarie , A. M. Tsvelik

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

We study the competition between Josephson and charging energies in two-dimensional arrays of ultrasmall Josephson junctions, when the mutual capacitance is dominant over the self-capacitance. Our calculations involve a combination of an…

Condensed Matter · Physics 2016-08-14 Jorge V. José , Cristian Rojas

We study experimentally and numerically the zero-voltage supercurrent vs. magnetic field of non-uniform arrays of Josephson junctions parallel-connected by a superconducting stripline. The measured curves are complex, unique and in…

Superconductivity · Physics 2007-05-23 F. Boussaha , J. G. Caputo , L. Loukitch , M. Salez

An array of resistively and capacitively shunted Josephson junctions with nonsinusoidal current-phase relation is considered for modelling the transition in high-T$_c$ superconductors. The emergence of higher harmonics, besides the simple…

Superconductivity · Physics 2011-01-04 A. Carbone , M. Gilli , P. Mazzetti , L. Ponta

The supercurrent of a Josephson junction is reduced by phase diffusion. For ultrasmall capacitance junctions the current may be further decreased by Coulomb blockade effects. We calculate the Cooper pair current by means of time-dependent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hermann Grabert , Gert-Ludwig Ingold , Benjamin Paul

We study the proximity effect in the Hubbard model coupled to BCS superconductors describing a single-layer strongly correlated electron system in a phase-biased Josephson junction. We find two distinct gapped solutions, one Mott-like…

Strongly Correlated Electrons · Physics 2026-02-17 Don Rolih , Rok Žitko

We study the subgap spectrum of the interacting single-level quantum dot coupled between two superconducting reservoirs, forming the Josephson-type circuit, and additionally hybridized with a metallic normal lead. This system allows for the…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Tadeusz Domański , Martin Žonda , Vladislav Pokorný , Grzegorz Górski , Václav Janiš , Tomáš Novotný
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