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We study the properties of the normal modes of a chain of Josephson junctions in the simultaneous presence of disorder and absorption. We consider the superconducting regime of small phase fluctuations and focus on the case where the…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 D. M. Basko , F. W. J. Hekking

We analyze motion of a fluxon in a weakly damped ac-driven long Josephson junction with a periodically modulated maximum Josephson current density. We demonstrate both analytically and numerically that a pure {\it ac} bias current can drive…

patt-sol · Physics 2009-10-28 Giovanni Filatrella , Boris A. Malomed , Robert D. Parmentier

We consider the first order differential equation with a sinusoidal nonlinearity and periodic time dependence, that is, the periodically driven overdamped pendulum. The problem is studied in the case that the explicit time-dependence has…

Mathematical Physics · Physics 2015-05-14 Jukka Isohätälä , Kirill N. Alekseev

We study the oscillatory flux dependence of the supercurrent in a thin superconducting loop, closed by a Josephson junction. Quantum fluctuations of the order parameter in the loop affect the shape and renormalize the amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 F. W. J. Hekking , L. I. Glazman

We explore the effect of noise on the ballistic graphene-based small Josephson junctions in the framework of the resistively and capacitively shunted model. We use the non-sinusoidal current-phase relation specific for graphene layers…

Mesoscale and Nanoscale Physics · Physics 2017-02-07 Claudio Guarcello , Davide Valenti , Bernardo Spagnolo , Vincenzo Pierro , Giovanni Filatrella

A crossover at a temperature T* in the temperature dependence of the width s of the distribution of switching currents of moderately damped Josephson junctions has been reported in a number of recent publications, with positive ds/dT and IV…

Superconductivity · Physics 2009-11-13 J. C. Fenton , P. A. Warburton

We have investigated the classical phase dynamics of underdamped ferromagnetic Josephson junctions by measuring the switching probability in both the stationary and nonstationary regimes down to 350 mK. We found the escape temperature to be…

Superconductivity · Physics 2015-05-13 I. Petkovic , M. Aprili

A pulse-and-hold technique is used to measure the switching of small critical current Josephson junctions. This technique allows one to achieve a good binary detection and therefore measure switching probabilities. The technique overcomes…

Superconductivity · Physics 2017-08-23 J. Walter , S. Corlevi , D. B. Haviland

We study the dc Josephson effect and the density of states in a multiterminal structure of cross-type geometry which consists of four superconducting electrodes connected by one-dimensional normal or ferromagnetic wires. We find that the…

Superconductivity · Physics 2013-01-16 Sebastian Mai , Ervand Kandelaki , Anatoly Volkov , Konstantin Efetov

We calculate the first two moments and full probability distribution of the work performed on a system of bosonic particles in a two-mode Bose-Hubbard Hamiltonian when the self-interaction term is varied instantaneously or with a…

Quantum Physics · Physics 2016-05-26 R. G. Lena , G. M. Palma , G. De Chiara

The effect of quantum fluctuations on the current-voltage characteristics of Josephson junctions and superconducting nanowires is studied in the underdamped limit. Quantum fluctuations induce transitions between a Coulomb--blockade and a…

Mesoscale and Nanoscale Physics · Physics 2008-08-21 A. Zazunov , N. Didier , F. W. J. Hekking

Parametrically driven oscillators can display period-tripling in response to a drive at thrice the resonance frequency. In contrast to the parametric instability for period doubling, the symmetric fixed-point corresponding to the state of…

Mesoscale and Nanoscale Physics · Physics 2022-09-02 Lisa Arndt , Fabian Hassler

This article studies typical dynamics and fluctuations for a slow-fast dynamical system perturbed by a small fractional Brownian noise. Based on an ergodic theorem with explicit rates of convergence, which may be of independent interest, we…

Probability · Mathematics 2020-08-20 Solesne Bourguin , Siragan Gailus , Konstantinos Spiliopoulos

We study a diffusive superconductor - normal metal - superconductor (SNS) junction in an external magnetic field. In the limit of a long junction, we find that the form of the dependence of the Josephson current on the field and on the…

Superconductivity · Physics 2013-04-16 B. Crouzy , D. A. Ivanov

In the classical Josephson effect the phase difference across the junction is well defined, and the supercurrent is reduced only weakly by phase diffusion. For mesoscopic junctions with small capacitance the phase undergoes large quantum…

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

Quantum fluctuations in a current biased Josephson junction, described in terms of the RCSJ-model, are considered. The fluctuations of the voltage and phase across the junction are assumed to be initiated by equilibrium current fluctuations…

Superconductivity · Physics 2009-11-07 Y. Levinson

The form of the fluctuation-dissipation theorem for a resistively shunted Josephson juction array is derived with the help of the method which explicitely takes into acoount screening effects. This result is used to express the flux noise…

Superconductivity · Physics 2009-11-07 S. E. Korshunov

Asymmetric two-junction SQUIDs with different current-phase relations in the two Josephson junctions, involving higher Josephson harmonics, demonstrate a flux-tunable Josephson diode effect (asymmetry between currents flowing in the…

Superconductivity · Physics 2024-09-27 G. S. Seleznev , Ya. V. Fominov

We theoretically investigate the phase and voltage correlation dynamics, which includes both the deterministic contribution and stochastic fluctuations, under a current noise generated by a resistor including thermal and quantum…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Koichiro Furutani , Luca Salasnich

The physics of Josephson tunnel junctions drastically depends on their geometrical configurations and here we show that also tiny geometrical details play a determinant role. More specifically, we develop the theory of short and long…

Superconductivity · Physics 2016-06-09 Roberto Monaco