Running-mode resonance in A.C.-biased periodic potential

TL;DR

This paper explores how particles in a sinusoidally modulated potential exhibit stochastic resonance, with potential applications in signal amplification and quantum tunneling, revealing new insights into their stochastic dynamics.

Contribution

It introduces a novel analysis of particle motion using the winding number derivative to identify stochastic resonance in a modulated washboard potential.

Findings

Stochastic resonance observed in overdamped particle motion

Quantitative measure of running time via winding number derivative

Potential applications in signal amplification and Bose-Einstein condensates

Abstract

We investigate the stochastic dynamics of a particle in the presence of a modulated sinusoidal potential. Using the time derivative of the winding number, we quantify the particle's motion according to its running time, the time it runs monotonically to the left or right. For a range of model parameters, we show that, in the overdamped regime, the particle's motion in this modulated washboard potential exhibits stochastic resonance. We briefly suggest possible applications of our results, including the amplification of signals for measurement devices and in stimulated tunneling of Bose-Einstein condensates.