Suppression of timing errors in short overdamped Josephson junctions

TL;DR

This paper analyzes how fluctuations and periodic driving affect the timing accuracy of short overdamped Josephson junctions, revealing conditions that minimize timing errors and optimize system performance.

Contribution

It provides a detailed analysis of the standard deviation of switching times under various driving forces and identifies resonant activation effects in Josephson junctions.

Findings

Resonant activation observed under sinusoidal driving.

Mean switching time and standard deviation minimized at optimal frequency.

Optimization for fast operation reduces timing errors.

Abstract

The influence of fluctuations and periodical driving on temporal characteristics of short overdamped Josephson junction is analyzed. We obtain the standard deviation of the switching time in the presence of a dichotomous driving force for arbitrary noise intensity and in the frequency range of practical interest. For sinusoidal driving the resonant activation effect has been observed. The mean switching time and its standard deviation have a minimum as a function of driving frequency. As a consequence the optimization of the system for fast operation will simultaneously lead to minimization of timing errors.