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We review three different approaches to investigate the non-equilibrium stochastic dynamics of a Josephson junction affected by L\'evy-distributed current fluctuations. First, we study the lifetime in the metastable superconducting state of…

Superconductivity · Physics 2025-01-30 Claudio Guarcello

We propose a threshold detector for L\'evy distributed fluctuations based on a Josephson junction. The L\'evy noise current added to a linearly ramped bias current results in clear changes in the distribution of switching currents out of…

Mesoscale and Nanoscale Physics · Physics 2019-04-25 Claudio Guarcello , Davide Valenti , Bernardo Spagnolo , Vincenzo Pierro , Giovanni Filatrella

Experiments on the distributions of switching currents in Josephson junctions are sensitive probes of the mechanism by which a junction changes abruptly to a finite voltage state. At low temperatures data exhibit smooth and gradual…

Superconductivity · Physics 2021-08-19 James A. Blackburn

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

L\'evy noise influences diverse non-equilibrium systems across scales, including quantum devices, active biological matter, and financial markets. While such noise is pervasive, its overall impact on activated transitions between metastable…

Statistical Mechanics · Physics 2025-11-25 Shenglan Yuan

Fluctuations of the current through a tunnel junction are measured using a Josephson junction. The current noise adds to the bias current of the Josephson junction and affects its switching out of the supercurrent branch. The experiment is…

Mesoscale and Nanoscale Physics · Physics 2009-02-17 Q. Le Masne , H. Pothier , Norman O. Birge , C. Urbina , D. Esteve

We numerically investigate the generation of solitons in current-biased long Josephson junctions in relation to the superconducting lifetime and the voltage drop across the device. The dynamics of the junction is modelled with a sine-Gordon…

Superconductivity · Physics 2016-06-06 Claudio Guarcello , Davide Valenti , Angelo Carollo , Bernardo Spagnolo

In this Chapter we investigate with the methods of signal detection the response of a Josephson junction to a perturbation to decide if the perturbation contains a coherent oscillation embedded in the background noise. When a Josephson…

Optics · Physics 2014-03-28 P. Addesso , G. Filatrella , V. Pierro

We discuss the use of a hysteretic Josephson junction to detect current fluctuations with frequencies below the plasma frequency of the junction. These adiabatic fluctuations are probed by switching measurements observing the noise-affected…

Mesoscale and Nanoscale Physics · Physics 2010-03-29 J. T. Peltonen , A. V. Timofeev , M. Meschke , J. P. Pekola

We present the analysis of the mean switching time and its standard deviation of short overdamped Josephson junctions, driven by a direct current and a periodic signal. The effect of noise enhanced stability is investigated. It is shown…

Superconductivity · Physics 2015-05-13 Anna V. Gordeeva , Andrey L. Pankratov , Bernardo Spagnolo

Many-body and complex systems, both classical and quantum, often exhibit slow, nonlinear relaxation toward stationary states due to the presence of metastable configurations and environmental fluctuations. Nonlinear relaxation in a wide…

Statistical Mechanics · Physics 2026-02-02 Claudio Guarcello , Alexander A. Dubkov , Davide Valenti , Bernardo Spagnolo

We study the voltage noise properties including the switching rates and statistics of phase-slips in moderately damped Josephson junctions using a novel efficient numerical approach combining the matrix continued-fraction method with the…

Superconductivity · Physics 2015-06-15 Martin Žonda , Wolfgang Belzig , Tomáš Novotný

Non-Gaussian fluctuations of the electrical current can be detected with a Josephson junction placed on-chip with the noise source. We present preliminary measurements with an NIS junction as a noise source, and a Josephson junction in the…

Mesoscale and Nanoscale Physics · Physics 2007-11-06 B. Huard , H. Pothier , Norman O. Birge , D. Esteve , X. Waintal , J. Ankerhold

The intrinsic nonlinearity of Josephson junctions converts Gaussian current noise in the input into non-Gaussian voltage noise in the output. For a resistively shunted Josephson junction with white input noise we determine numerically…

Superconductivity · Physics 2015-05-18 D. S. Golubev , M. Marthaler , Y. Utsumi , Gerd Schon

Under a high frequency drive, Josephson junctions demonstrate "Shapiro steps" of quantized voltage. These are dynamically stabilized states, in which the phase across the junction locks to the external drive. We explore the stochastic…

We have developed a model for experiments in which the bias current applied to a Josephson junction is slowly increased from zero until the junction switches from its superconducting zero-voltage state, and the bias value at which this…

Statistical Mechanics · Physics 2012-03-06 James A. Blackburn , Matteo Cirillo , Niels Grønbech-Jensen

With the rapid increase of valuable observational, experimental and simulated data for complex systems, much efforts have been devoted to identifying governing laws underlying the evolution of these systems. Despite the wide applications of…

Machine Learning · Statistics 2021-10-01 Yang Li , Yubin Lu , Shengyuan Xu , Jinqiao Duan

I study the dynamics of a Josephson junction serving as a threshold detector of fluctuations which is subjected to a general non-equilibrium electronic noise source whose characteristics is to be determined by the junction. This…

Statistical Mechanics · Physics 2009-06-04 Tomas Novotny

We consider the motion of an overdamped particle in a periodic potential lacking spatial symmetry under the influence of symmetric L\'evy noise, being a minimal setup for a ``L\'evy ratchet.'' Due to the non-thermal character of the L\'evy…

Statistical Mechanics · Physics 2009-11-13 B. Dybiec , E. Gudowska-Nowak , I. M. Sokolov

We measure current fluctuations of mesoscopic devices in the quantum regime, when the frequency is of the order of or higher than the applied voltage or temperature. Detection is designed to probe separately the absorption and emission…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. -M. Billangeon , F. Pierre , H. Bouchiat , R. Deblock
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