Search results for "long Josephson junction"

showing 8 items of 8 documents

Noisy dynamics in long and short Josephson junctions

The study of nonlinear dynamics in long Josephson junctions and the features of a particular kind of junction realized using a graphene layer, are the main topics of this research work. The superconducting state of a Josephson junction is a metastable state, and the switching to the resistive state is directly related to characteristic macroscopic quantities, such as the current the voltage across the junction, and the magnetic field through it. Noise sources can affect the mean lifetime of this superconducting metastable state, so that noise induced effects on the transient dynamics of these systems should be taken into account. The long Josephson junctions are investigated in the sine-Gor…

Transient dynamickinkmean switching timeSettore FIS/02 - Fisica Teorica Modelli E Metodi Matematicigraphenebreathernoise induced effectlong Josephson junctiondynamic resonant activationGaussian noisenoise enhanced stabilitysine-Gordonshort Josephson junctionnonlinear relaxation timeJosephson junctionJosephson junction; sine-Gordon; Transient dynamics; noise induced effect; noise enhanced stability; dynamic resonant activation; stochastic resonant activation; resonant activation; soliton; breather; kink; Gaussian noise; non Gaussian noise; graphene; short Josephson junction; long Josephson junction; mean switching time; nonlinear relaxation time;stochastic resonant activationresonant activationnon Gaussian noisesoliton
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Magnetically excited breather modes in an overlap-geometry Josephson tunnel junction

2022

A scheme for the controlled generation of single traveling sine- Gordon breathers in a long Josephson junction is described. In the presence of dissipation, a direct current source, and thermal fluctuations, the theoretical analysis shows that, through the nonlinear supratransmission effect, tailored magnetic pulses at the junction’s edge can effectively yield breather modes only.

Traveling sine-Gordon breatherSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStochastic fluctuationsLong Josephson junctionNonlinear supratransmission
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Generation of travelling sine-Gordon breathers in noisy long Josephson junctions

2022

The generation of travelling sine-Gordon breathers is achieved through the nonlinear supratransmission effect in a magnetically driven long Josephson junction, in the presence of losses, a current bias, and a thermal noise source. We demonstrate how to exclusively induce breather modes by means of controlled magnetic pulses. A nonmonotonic behavior of the breather-only generation probability is observed as a function of the noise intensity. An experimental protocol providing evidence of the Josephson breather's existence is proposed.

Settore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciCondensed Matter - Mesoscale and Nanoscale PhysicsGeneral MathematicsApplied MathematicsTravelling sine-Gordon breathersFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsStochastic fluctuationsNonlinear supratransmissionNonlinear Sciences::Exactly Solvable and Integrable SystemsLong Josephson junctionsCondensed Matter::SuperconductivityMesoscale and Nanoscale Physics (cond-mat.mes-hall)Long Josephson junctions; Nonlinear supratransmission; Stochastic fluctuations; Travelling sine-Gordon breathersNonlinear Sciences::Pattern Formation and Solitons
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Supratransmission-induced traveling breathers in long Josephson junctions

2022

The emergence of travelling sine-Gordon breathers due to the nonlinear supratransmission effect is theoretically studied in a long Josephson junction driven by suitable magnetic pulses, taking into account the presence of dissipation, a current bias, and a thermal noise source. The simulations clearly indicate that, depending on the pulse's shape and the values of the main system parameters, such a configuration can effectively yield breather excitations only. Furthermore, a nonmonotonic behavior of the breather-only generation probability is observed as a function of the noise intensity. Finally, the dynamics of the supratransmission-induced breathers is characterized by looking at quantit…

Numerical AnalysisSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStatistical Mechanics (cond-mat.stat-mech)Condensed Matter - Mesoscale and Nanoscale PhysicsLong Josephson junctions; Traveling sine-Gordon breathers; Nonlinear supratransmission; Stochastic fluctuationsApplied MathematicsFOS: Physical sciencesStochastic fluctuationsNonlinear supratransmissionLong Josephson junctionsTraveling sine-Gordon breathersModeling and SimulationMesoscale and Nanoscale Physics (cond-mat.mes-hall)Nonlinear Sciences::Pattern Formation and SolitonsCondensed Matter - Statistical MechanicsCommunications in Nonlinear Science and Numerical Simulation
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Ac-locking of thermally-induced sine-Gordon breathers

2023

A complete framework for exciting and detecting thermally-induced, stabilized sine-Gordon breathers in ac-driven long Josephson junctions is developed. The formation of long-time stable breathers locked to the ac source occurs for a sufficiently high temperature. The latter emerges as a powerful control parameter, allowing for the remarkably stable localized modes to appear. Nonmonotonic behaviors of both the breather generation probability and the energy spatial correlations versus the thermal noise strength are found. The junction's resistive switching characteristics provides a clear experimental signature of the breather.

Settore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStatistical Mechanics (cond-mat.stat-mech)Condensed Matter - Mesoscale and Nanoscale PhysicsGeneral MathematicsApplied MathematicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)General Physics and AstronomyFOS: Physical sciencesSoliton dynamicsLong Josephson junctionsThermal noiseSine-Gordon breathersStatistical and Nonlinear PhysicsPattern Formation and Solitons (nlin.PS)Nonlinear Sciences - Pattern Formation and SolitonsCondensed Matter - Statistical Mechanics
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Horseshoe-shaped maps in chaotic dynamics of long Josephson junction driven by biharmonic signals

2000

Abstract A collective coordinate approach is applied to study chaotic responses induced by an applied biharmonic driven signal on the long Josephson junction influenced by a constant dc-driven field with breather initial conditions. We derive a nonlinear equation for the collective variable of the breather and a new version of the Melnikov method is then used to demonstrate the existence of Smale horseshoe-shaped maps in its dynamics. Additionally, numerical simulations show that the theoretical predictions are well reproduced. The subharmonic Melnikov theory is applied to study the resonant breathers. Results obtained using this approach are in good agreement with numerical simulations of …

Field (physics)BreatherGeneral MathematicsApplied MathematicsChaoticGeneral Physics and AstronomyStatistical and Nonlinear PhysicsNonlinear systemClassical mechanicsBiharmonic equationConstant (mathematics)Nonlinear Sciences::Pattern Formation and SolitonsVariable (mathematics)MathematicsLong Josephson junctionChaos, Solitons & Fractals
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Fluxons in Josephson Transmission Lines

1996

The superconducting Josephson junctions (Barone and Paterno 1982; Parmentier 1978; Lomdahl 1985; Likharev 1986; Pedersen 1986) have proven to be one of the most successful testing grounds for nonlinear wave theory; their use for information processing and storage is quite attractive. In the long Josephson junction or transmission line, the physical quantity of interest is a quantum of magnetic flux, or a fluxon, which has a soliton behavior. It is a remarkably robust and stable object, which can be easily manipulated at high speed and stored electronically. Consequently it should be used as a basic bit in information processing systems.

PhysicsSuperconductivityJosephson effectPi Josephson junctionCondensed matter physicsFluxonTransmission lineCondensed Matter::SuperconductivitySolitonMagnetic fluxLong Josephson junction
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Stabilization Effects of Dichotomous Noise on the Lifetime of theSuperconducting State in a Long Josephson Junction

2015

We investigate the superconducting lifetime of a long overdamped current-biased Josephson junction, in the presence of telegraph noise sources. The analysis is performed by randomly choosing the initial condition for the noise source. However, in order to investigate how the initial value of the dichotomous noise affects the phase dynamics, we extend our analysis using two different fixed initial values for the source of random fluctuations. In our study, the phase dynamics of the Josephson junction is analyzed as a function of the noise signal intensity, for different values of the parameters of the system and external driving currents. We find that the mean lifetime of the superconductive…

Josephson effectSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciGeneral Physics and Astronomylong Josephson junctionlcsh:AstrophysicsmetastabilityPhysics and Astronomy (all)Mean switching timenonlinear relaxation timeCondensed Matter::SuperconductivityMetastabilitylcsh:QB460-466Initial value problemlcsh:ScienceSuperconductivityPhysicsCondensed matter physicsNoise (signal processing)Nonequilibrium statistical mechanicsQuantum noiseShot noiselcsh:QC1-999noise enhanced stabilitymean switchingtimenonequilibrium statisticalmechanicsNonequilibrium statistical mechaniclcsh:QDichotomous noise; Long Josephson junction; Mean switching time; Metastability; Noise enhanced stability; Nonequilibrium statistical mechanics; Nonlinear relaxation timelcsh:PhysicsLong Josephson junctiondichotomous noiseEntropy
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