Lévy noise effects on Josephson junctions
arXiv:2501.17316 · doi:10.1016/j.chaos.2021.111531
Abstract
We review three different approaches to investigate the non-equilibrium stochastic dynamics of a Josephson junction affected by Lévy-distributed current fluctuations. First, we study the lifetime in the metastable superconducting state of current-biased short and long junctions, in the presence of Gaussian and Lévy noise sources. We highlight the noise-induced nonmonotonic behavior of the mean switching time as a function of noise intensity and driving frequency, that is the noise enhanced stability and the stochastic resonant activation, respectively. Then, we characterize the Lévy noise source through the average voltage drop across a current-biased junction. The voltage measurement versus the noise intensity allows to infer the value of the stability index that characterizes Lévy-distributed fluctuations. The numerical calculation of the average voltage drop across the junction well agrees with the analytical estimate of the average velocity for Lévy-driven escape processes from a metastable state. Finally, we look at the distribution of switching currents out of the zero-voltage state, when a Lévy noise signal is added to a linearly ramped bias current. The analysis of the cumulative distribution function of the switching currents gives information on both the Lévy stability index and the intensity of fluctuations. We present also a theoretical model to catch the features of the Lévy signal from a measured distribution of switching currents. The phenomena discussed in this work can pave the way for an effective and reliable Josephson-based scheme to characterize Lévy components eventually embedded in an unknown noisy signal.
arXiv comment20 pages, 9 figures
References in corpus (80)
- Circuit elements with memory: memristors, memcapacitors and meminductors
- Memory effects in complex materials and nanoscale systems
- Lévy walks
- Statistical Aging and Non Ergodicity in the Fluorescence of Single Nanocrystals
- Levy Flight Superdiffusion: An Introduction
- Geometry of quantum phase transitions
- Noise-enhanced stability of periodically driven metastable states
- Noise Enhanced Stability in Fluctuating Metastable States
- Signatures of Noise Enhanced Stability in Metastable States
- Levy--Brownian motion on finite intervals: Mean first passage time analysis
- Experimental Investigation of Resonant Activation
- Phase dynamics in graphene-based Josephson junctions in the presence of thermal and correlated fluctuations
- Switching times in long-overlap Josephson junctions subject to thermal fluctuations and non-Gaussian noise sources
- Anomalous transport effects on switching currents of graphene-based Josephson junctions
- Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions
- Stability measures in metastable states with Gaussian colored noise
- Graphene-based Josephson junction single photon detector
- Escape driven by -stable white noises
- Superdiffusive heat conduction in semiconductor alloys -- I. Theoretical foundations
- Josephson-based threshold detector for Lévy distributed fluctuations
- Quantum Memristors
- The problem of analytical calculation of barrier crossing characteristics for Levy flights
- Josephson junctions as threshold detectors for full counting statistics
- Lifetime of the superconductive state in short and long Josephson junctions
- Quantum Memristors with Superconducting Circuits
- Superdiffusive heat conduction in semiconductor alloys -- II. Truncated Lévy formalism for experimental analysis
- Superconducting Memristors
- A survey of classical and quantum interpretations of experiments on Josephson junctions at very low temperatures
- Dispersive thermometry with a Josephson junction coupled to a resonator
- A Josephson junction as a detector of Poissonian charge injection
- Detection of weak microwave fields with an underdamped Josephson junction
- Wide-band detection of the third moment of shot noise by a hysteretic Josephson junction
- Voltage drop across Josephson junctions for Lévy noise detection
- A cryogenic memory element based on an anomalous Josephson junction
- Levy stable noise induced transitions: stochastic resonance, resonant activation and dynamic hysteresis
- Characterization of escape times of Josephson Junctions for signal detection
- Distribution of supercurrent switching in graphene under proximity effect
- Stochastic dynamics of a Josephson junction threshold detector
- Levy model for interstellar scintillations
- Thermal Escape from a Metastable State in Periodically Driven Josephson Junctions
- Josephson-Threshold Calorimeter
- Levy statistics and anomalous transport in quantum-dot arrays
- Analysis of Josephson junctions switching time distributions for the detection of single microwave photons
- Soliton scattering as a measurement tool for weak signals
- Detecting charge noise with a Josephson junction: A problem of thermal escape in presence of non-Gaussian fluctuations
- Shot-noise-driven escape in hysteretic Josephson junctions
- Qubit-based memcapacitors and meminductors
- Non-diffusive Lattice Thermal Transport in Si-Ge Alloy Nanowires
- Detection of noise-corrupted sinusoidal signals with Josephson junctions
- Metastability, nucleation, and noise-enhanced stabilization out of equilibrium
- Asymmetric noise probed with a Josephson junction
- How to detect the fourth order cumulant of electrical noise
- Solitonic Josephson-based meminductive systems
- Coherent diffraction of thermal currents in Josephson tunnel junctions
- Thermal noise effects on the magnetization switching of a ferromagnetic anomalous Josephson junction
- Non-linear critical current thermal response of an asymmetric Josephson tunnel junction
- Nonlinear stochastic equations with multiplicative Lévy noise
- Noise Enhanced Stability
- Lifetime of metastable states and suppression of noise in Interdisciplinary Physical Models
- Drastically suppressing the error of ballistic readout of qubits
- Phase-coherent solitonic Josephson heat oscillator
- Coherent diffraction of thermal currents in long Josephson tunnel junctions
- Josephson junction detector of non-Gaussian noise
- Solitonic Josephson thermal transport
- Lévy flights and hydrodynamic superdiffusion on the Dirac cone of Graphene
- Noise induced phenomena in point Josephson junctions
- Single-photon detection with a Josephson junction coupled to a resonator
- Resonant escape over an oscillating barrier in single-electron ratchet transfer
- Radio-wave propagation in the non-Gaussian interstellar medium
- Lévy flights due to anisotropic disorder in graphene
- Relaxation of optically excited carriers in graphene: Anomalous diffusion and Lévy flights
- Solitonic thermal transport in a current biased long Josephson junction
- Josephson Junctions as Threshold Detectors of the Full Counting Statistics: Open issues
- Non-Gaussian Radio-Wave Scattering in the Interstellar Medium
- Escape process and stochastic resonance under noise-intensity fluctuation
- Temperature controlled Lévy flights of minority carriers in photoexcited bulk n-InP
- Photon assisted Levy flights of minority carriers in n-InP
- Feedback and Rate Asymmetry of the Josephson Junction Noise Detector
- Lévy on-off intermittency
- Thermal flux-flow regime in long Josephson tunnel junctions
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- Switching current distributions in ferromagnetic anomalous Josephson junctions
- Enhancement of stability of metastable states in the presence of Lévy noise
- Hysteresis and chaos in anomalous Josephson junctions without capacitance
- Non-Hermitian superconducting diode effect
- Nonlinear Behavior of Josephson Traveling Wave Parametric Amplifiers
- Approaching energy quantum limit detection of microwave photons with Josephson Junctions
- Effects of correlated noise on the excitation of robust breathers in an ac-driven, lossy sine-Gordon system
- Axion field influence on Josephson junction quasipotential
- Experimental demonstrations of Josephson threshold detectors for broadband microwave photons detection
- Effect of 2 harmonic current--phase relation on a behavior of a Josephson Traveling Wave Parametric Amplifier
- Detector of microwave photon pairs based on a Josephson photomultiplier
- The impact of thermal noise on kink propagation through a heterogeneous system
- Noise-Assisted Metastability: From Lévy Flights to Memristors, Quantum Escape, and Josephson-based Axion Searches