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We study the synchronization in a one dimensional array of point Josephson junctions coupled to a common capacitor, which establishes a long-range interaction between junctions and synchronizes them. The stability diagram of synchronization…

Superconductivity · Physics 2015-03-19 Shi-Zeng Lin , Xiao Hu , Lev Bulaevskii

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

Theory of non-stationary coherent effects is developed for superconductor-normal-superconductor (SNS) structures with relatively strong normal scattering on S/N interfaces (interface resistance is large compared to intrinsic resistance of N…

Superconductivity · Physics 2015-05-13 K. S. Tikhonov , M. V. Feigel'man

As the size of a Josephson junction is reduced, charging effects become important and the superconducting phase across the link turns into a periodic quantum variable. Isolated Josephson junction arrays are described in terms of such…

Superconductivity · Physics 2009-11-07 D. A. Ivanov , L. B. Ioffe , V. B. Geshkenbein , G. Blatter

Chaos synchronization between Josephson junctions driven by a central junction is studied under the parameter mismatches and noise. It is demonstrated that chaos synchronization quality is robust to 10-15 % parameter mismatches. It is also…

Applied Physics · Physics 2018-04-06 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev , M. V. Qocayeva

The distinctive quasiparticle distribution existing under nonequilibrium in a superconductor-insulator-normal metal-insulator-superconductor (SINIS) mesoscopic line is proposed as a novel tool to control the supercurrent intensity in a long…

Mesoscale and Nanoscale Physics · Physics 2008-07-12 F. Giazotto , T. T. Heikkila , F. Taddei , Rosario Fazio , J. P. Pekola , F. Beltram

We consider the dynamics of a two-dimensional array of underdamped Josephson junctions placed in a single-mode resonant cavity. Starting from a well-defined model Hamiltonian, which includes the effects of driving current and dissipative…

Superconductivity · Physics 2009-11-07 E. Almaas , D. Stroud

We review our previous work on the dynamics of one- and two-dimensional arrays of underdamped Josephson junctions placed in a single-mode resonant cavity. Starting from a well-defined model Hamiltonian, which includes the effects of driving…

Superconductivity · Physics 2007-05-23 E. Almaas , D. Stroud

We investigate chaos synchronization between Josephson junctions coupled uni-directionally with time-delay. We demonstrate the possibility of high quality synchronization with numerical simulations of such systems. The results are of…

Chaotic Dynamics · Physics 2015-06-09 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

We consider a planar SIS-type Josephson junction between diffusive superconductors (S) through an insulating tunnel interface (I). We construct fully self-consistent perturbation theory with respect to the interface conductance. As a…

Superconductivity · Physics 2021-09-15 A. S. Osin , Ya. V. Fominov

We study synchronization in disordered arrays of Josephson junctions. In the first half of the paper, we consider the relation between the coupled resistively- and capacitively shunted junction (RCSJ) equations for such arrays and effective…

Superconductivity · Physics 2009-11-10 B. R. Trees , V. Saranathan , D. Stroud

We study the capacitance-coupled Josephson junction array beyond the small-coupling limit. We find that, when the scale of the system is large, its Hamiltonian can be obtained without the small-coupling approximation and the system can be…

Quantum Physics · Physics 2015-06-12 Liang-Hui Du , Xingxiang Zhou , Yong-Jian Han , Guang-Can Guo , Zheng-Wei Zhou

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,…

One can demonstrate that a 1-D Josephson network containing junctions with different resistances can be synchronized at frequencies, which are multiples of 2eV, where V is the total d.c. voltage applied across the network. The appearance of…

Superconductivity · Physics 2015-06-16 Yurii Ovchinnikov , Vladimir Kresin

The Josephson effect characterizes superfluids and superconductors separated by a weak link, the so-called Josephson junction. A recent experiment has shown that Josephson oscillations can be observed also in a supersolid, where the weak…

The flux-flow dynamics in a long Josephson junction is studied both analytically and numerically. A realistic model of the junction is considered by taking into account a nonuniform current distribution, surface losses and self-pumping…

Superconductivity · Physics 2013-05-29 Marek Jaworski

We present fully self-consistent calculations of the thermodynamic properties of three-dimensional clean SNS Josephson junctions, where S is an s-wave short-coherence-length superconductor and N is a clean normal metal. The junction is…

Superconductivity · Physics 2016-08-31 Branislav K. Nikolic , J. K. Freericks , P. Miller

We study chaos synchronization between Josephson junctions governed by a central junction with a time delay and demonstrate with numerical simulations the possibility of high quality synchronization. The results are important for obtaining…

Chaotic Dynamics · Physics 2015-09-25 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

We study arrays of planar Nb Josephson junctions with contacts to intermediate electrodes, which allow measurements of individual junctions and, thus, provide an insight into intricate array dynamics. We observe a robust phase-locking of…

Superconductivity · Physics 2022-08-02 S. Yu. Grebenchuk , R. Cattaneo , T. Golod , V. M. Krasnov

New resonance steps are found in the experimental current-voltage characteristics of long, discrete, one-dimensional Josephson junction arrays with open boundaries and in an external magnetic field. The junctions are underdamped, connected…

Superconductivity · Physics 2009-10-30 A. E. Duwel , S. Watanabe , E. Trias , T. P. Orlando , H. S. J. van der Zant , S. H. Strogatz
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