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We present theoretical and experimental studies of resonant localized resistive states in a Josephson junction ladder. These complex breather states are obtained by tuning the breather frequency into the upper band of linear electromagnetic…

Superconductivity · Physics 2009-11-07 M. V. Fistul , A. E. Miroshnichenko , S. Flach , M. Schuster , A. V. Ustinov

We study the dynamics of a Josephson junction connected to a dc current supply via a distributed parameter capacitor, which serves as a resonator. We reveal multistability in the current-voltage characteristic of the system; this…

Pattern Formation and Solitons · Physics 2018-02-07 Denis S. Goldobin , Lyudmila S. Klimenko

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 study the dynamic response to external currents of periodic arrays of Josephson junctions, in a resistively capacitively shunted junction (RCSJ) model, including full capacitance-matrix effects}. We define and study three different…

Superconductivity · Physics 2016-08-15 Frank Gibbons , A. Góngora-T , Jorge V. José

We present an electronic circuit whose dynamical properties emulate those of a resistively and capacitively shunted Josephson junction (RCSJ). We show how it reproduces the switching properties of a shunted junction and its dependence on…

Superconductivity · Physics 2021-12-01 Aeron McConnell , Sara Idris , Brian Opatosky , François Amet

We present a study of nonlinear localized excitations called discrete breathers in a superconducting array. These localized solutions were recently observed in Josephson-junction ladder arrays by two different experimental groups. We review…

Condensed Matter · Physics 2009-11-07 E. Trias , J. J. Mazo , A. Brinkman , T. P. Orlando

Appearance and origin of resonance phenomena have been studied in the annular system of underdamped Josephson junctions. If no fluxon is trapped in the system, dynamics is governed by the motion of fluxon-antifluxon pairs, while if trapped…

Superconductivity · Physics 2020-06-24 I. R. Rahmonov , J. Tekić , P. Mali , A. Irie , A. Plecenik , Yu. M. Shukrinov

We study the resistive transition in Josephson-junction arrays at $f=1/2$ flux quantum per plaquette by dynamical simulations of the resistively-shunted-junction model. The current-voltage scaling and critical dynamics of the phases are…

Superconductivity · Physics 2009-11-10 Enzo Granato , Daniel Dominguez

When magnetic flux moves across layered or granular superconductor structures, the passage of vortices can take place along channels which develop finite voltage, while the rest of the material remains in the zero-voltage state. We present…

Superconductivity · Physics 2009-10-30 Mauricio Barahona , Shinya Watanabe

Series arrays of Josephson junctions show evidence of a mode in which all the junctions oscillate in synchronism on voltage resonances appearing, in zero external magnetic field, at multiples of the fundamental Fiske step spacing. The…

Superconductivity · Physics 2008-11-27 I. Ottaviani , M. Cirillo , M. Lucci , V. Merlo , M. Salvato , M. G. Castellano , G. Torrioli , F. Mueller , T. Weimann

We have studied the phase diagram of two capacitively coupled Josephson junction arrays with charging energy, $E_c$, and Josephson coupling energy, $E_J$. Our results are obtained using a path integral Quantum Monte Carlo algorithm. The…

Statistical Mechanics · Physics 2009-11-10 Guillermo Ramirez-Santiago , Jorge V. Jose

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

We study dynamical phase transitions at temperature T = 0 in a fully frustrated square Josephson junction array subject to a driving current density which has nonzero components parallel to both axes of the lattice. Our numerical results…

Superconductivity · Physics 2007-05-23 K. D. Fisher , D. Stroud , L. Janin

We study the influence of photons on the dynamics and the ground state of the atoms in a Bosonic Josephson junction inside an optical resonator. The system is engineered in such a way that the atomic tunneling can be tuned by changing the…

Quantum Physics · Physics 2015-12-04 P. Rosson , G. Mazzarella , G. Szirmai , L. Salasnich

The Josephson effects associated with quantum tunneling of Cooper pairs manifest as nonlinear relations between the superconductivity phase difference and the bias current and voltage. Many novel phenomena appear, such as Shapiro steps in…

Superconductivity · Physics 2010-04-21 Xiao Hu , Shi-Zeng Lin

Motivated by recent experiments, where a voltage biased Josephson junction is placed in series with a resonator, the classical dynamics of the circuit is studied in various domains of parameter space. This problem can be mapped onto the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 S. Meister , M. Mecklenburg , V. Gramich , J. T. Stockburger , J. Ankerhold , B. Kubala

We study, analytically and numerically, phase locking of driven vortex lattices in fully-frustrated Josephson junction arrays at zero temperature. We consider the case when an ac current is applied {\it perpendicular} to a dc current. We…

Superconductivity · Physics 2007-05-23 Veronica Marconi , Alejandro Kolton , Daniel Dominguez , Niels Gronbech-Jensen

We demonstrate that the current-voltage (I-V) characteristics of resistively and capacitively shunted Josephson junctions (RCSJs) hosting localized subgap Majorana states provides a phase sensitive method for their detection. The I-V…

Strongly Correlated Electrons · Physics 2015-12-09 M. Maiti , K. M. Kulikov , K. Sengupta , Y. M. Shukrinov

Recent experiments on Josephson junction arrays (JJAs) in microwave cavities have opened up a new avenue for investigating the properties of these devices while minimising the amount of external noise coming from the measurement apparatus…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 Samuel A. Wilkinson , Jared H. Cole

Synchronization between the internal dynamics of the superconducting phase in a Josephson junction (JJ) and an external ac signal is a fundamental physical phenomenon, manifesting as constant-voltage Shapiro steps in the current-voltage…

Superconductivity · Physics 2025-12-23 Pavel N. Tsarev , Yakov V. Fominov