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We present numerical simulations of the dynamics of two-dimensional Josephson junction arrays to study the mechanism of mutual phase locking. We show that in the presence of an external magnetic field two mechanisms are playing a role in…

Condensed Matter · Physics 2009-10-28 W. Krech , K. Yu. Platov

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

Within the RSJ model, we performed a theoretical analysis of phase-locking in elementary strongly coupled Josephson junction cells. For this purpose, we developed a systematic method allowing the investigation of phase-locking in cells with…

Condensed Matter · Physics 2016-08-31 M. Basler , W. Krech , K. Yu. Platov

We report relaxation oscillations in a one-dimensional array of Josephson junctions. The oscillations are circuit-dual to those ordinarily observed in single junctions. The dual circuit quantitatively accounts for temporal dynamics of the…

Mesoscale and Nanoscale Physics · Physics 2024-08-16 S. Mukhopadhyay , D. A. Lancheros-Naranjo , J. Senior , A. P. Higginbotham

A recently proposed scheme for the analytical treatment of the dynamics of two-dimensional hybrid Josephson junction arrays is extended to a class of generalized hybrid arrays with ''horizontal'' shunts involving a capacitive as well as an…

Condensed Matter · Physics 2009-10-28 Michael Basler , Wolfram Krech , Konstantin Yu. Platov

We have designed an experiment and performed extensive simulations and preliminary measurements to identify a set of realistic circuit parameters that should allow the observation of constant-current steps at I=2ef in short arrays of small…

Superconductivity · Physics 2011-12-30 Felix Maibaum , Sergey V. Lotkhov , A. B. Zorin

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

We study analytically and numerically the phase-modulation properties of a biased classical Josephson tunnel junction in the zero-voltage state and phase-locked to an external ac field. We show that the phase-locked state is being modulated…

Superconductivity · Physics 2007-05-23 Niels Gronbech-Jensen , Matteo Cirillo

Phase-locking of oscillators leads to superradiant amplification of the emission power. This is particularly important for development of THz sources, which suffer from low emission efficacy. In this work we study large Josephson junction…

Superconductivity · Physics 2020-08-26 M. A. Galin , F. Rudau , E. A. Borodianskyi , V. V. Kurin , D. Koelle , R. Kleiner , V. M. Krasnov , A. M. Klushin

Injection locking can stabilize a source of radiation, leading to an efficient suppression of noise-induced spectral broadening and therefore, to a narrow spectrum. The technique is well established in laser physics, where a…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Lukas Danner , Ciprian Padurariu , Joachim Ankerhold , Björn Kubala

Within the RSJ model we performed an analytical and numerical investigation of SQUID cells consisting of two Josephson junctions shunted by an extremely small inductance leading to strong coupling of the elements. Contrary to the well-known…

Condensed Matter · Physics 2009-10-22 M. Basler , W. Krech , K. Yu. Platov

We demonstrate the locking by external electromagnetic radiation of magnetic precession in the $ \varphi_0 $ Josephson junction through Josephson oscillations in the region of ferromagnetic resonance. This leads to a step in the dependence…

Superconductivity · Physics 2022-07-08 S. A. Abdelmoneim , Yu. M. Shukrinov , K. V. Kulikov , H. ElSamman , M. Nashaat

Topological features of low dimensional superconductors have caused a lot of excitement recently because of their broad range of applications in quantum information and their potential to reveal novel phases of quantum matter. A potential…

Superconductivity · Physics 2015-06-18 Paul Matthews , Pedro Ribeiro , Antonio M. García-García

We have studied the switching behaviour of a small capacitance Josephson junction both in experiment, and by numerical simulation of a model circuit. The switching is a comples process involving the transition between two dynamical states…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Joachim Sjostrand , Jochen Walter , David Haviland , Hans Hansson , Anders Karlhede

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

Experiments on one-dimensional small capacitance Josephson Junction arrays are described. The arrays have a junction capacitance that is much larger than the stray capacitance of the electrodes, which we argue is important for observation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. B. Haviland , K. Andersson , P. Agren

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 consider theoretically a Josephson junction with a superconducting critical current density which has a random sign along the junction's surface. We show that the ground state of the junction corresponds to the phase difference equal to…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Zyuzin , B. Spivak

The superconducting transition of a two-dimensional (2D) Josephson junction array exposed to weak magnetic fields has been studied experimentally. Resistance measurements reveal a superconducting-resistive phase boundary in serious…

Superconductivity · Physics 2009-11-11 In-Cheol Baek , Young-Je Yun , Mu-Yong Choi

A substantial influence of the proximity and pair breaking effects on the range of internal phase differences is shown to take place in symmetric double Josephson junctions with closely spaced interfaces and to affect the evolution of the…

Superconductivity · Physics 2018-06-15 Yu. S. Barash
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