Voltage drop across Josephson junctions for Lévy noise detection

Abstract

We propose to characterize Lévy-distributed stochastic fluctuations through the measurement of the average voltage drop across a current-biased Josephson junction. We show that the noise induced switching process in the Josephson washboard potential can be exploited to reveal and characterize Lévy fluctuations, also if embedded in a thermal noisy background. The measurement of the average voltage drop as a function of the noise intensity allows to infer the value of the stability index that characterizes Lévy-distributed fluctuations. An analytical estimate of the average velocity in the case of a Lévy-driven escape process from a metastable state well agrees with the numerical calculation of the average voltage drop across the junction. The best performances are reached at small bias currents and low temperatures, \emph{i.e.}, when both thermally activated and quantum tunneling switching processes can be neglected. The effects discussed in this work pave the way toward an effective and reliable method to characterize Lévy components eventually present in an unknown noisy signal.

12 pages, 6 figures

References in corpus (19)

• Lévy walks
• 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
• Verhulst model with Levy white noise excitation
• Environmental Metal Pollution Considered as Noise: Effects on the Spatial Distribution of Benthic Foraminifera in two Coastal Marine Areas of Sicily (Southern Italy)
• First-passage and first-hitting times of Levy flights and Levy walks
• Wide-band detection of the third moment of shot noise by a hysteretic Josephson junction
• Stochastic dynamics of a Josephson junction threshold detector
• Levy model for interstellar scintillations
• Josephson-Threshold Calorimeter
• Levy statistics and anomalous transport in quantum-dot arrays
• Universal fluctuations in subdiffusive transport
• Detecting charge noise with a Josephson junction: A problem of thermal escape in presence of non-Gaussian fluctuations
• Asymmetric noise probed with a Josephson junction
• Non-diffusive Lattice Thermal Transport in Si-Ge Alloy Nanowires
• Josephson junctions as detectors for non-Gaussian noise
• Josephson junction detector of non-Gaussian noise
• Detection of signals in presence of noise through Josephson junction switching currents
• Josephson Junctions as Threshold Detectors of the Full Counting Statistics: Open issues

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• Simple yet Accurate Stochastic Approach to the Quantum Phase Noise of Nanolasers
• Noise-Assisted Metastability: From Lévy Flights to Memristors, Quantum Escape, and Josephson-based Axion Searches
• Oscillatory and dissipative dynamics of complex probability in non-equilibrium stochastic processes