Experimental realization of diffusion with stochastic resetting

Abstract

Stochastic resetting is prevalent in natural and man-made systems giving rise to a long series of non-equilibrium phenomena. Diffusion with stochastic resetting serves as a paradigmatic model to study these phenomena, but the lack of a well-controlled platform by which this process can be studied experimentally has been a major impediment to research in the field. Here, we report the experimental realization of colloidal particle diffusion and resetting via holographic optical tweezers. We provide the first experimental corroboration of central theoretical results, and go on to measure the energetic cost of resetting in steady-state and first-passage scenarios. In both cases, we show that this cost cannot be made arbitrarily small due to fundamental constraints on realistic resetting protocols. The methods developed herein open the door to future experimental study of resetting phenomena beyond diffusion.

20 pages 5 figures

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Cited by in corpus (141)

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• The inspection paradox in stochastic resetting
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• Geometric Brownian Motion under Stochastic Resetting: A Stationary yet Non-ergodic Process
• Active Brownian Motion in two-dimensions under Stochastic Resetting
• Restart expedites quantum walk hitting times
• Intermittent resetting potentials
• Extreme statistics and spacing distribution in a Brownian gas correlated by resetting
• Brownian motion under intermittent harmonic potentials
• Thermodynamic uncertainty relation for systems with unidirectional transitions
• Stochastic resetting by a random amplitude
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• Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity
• Space-dependent diffusion with stochastic resetting: A first-passage study
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• Resetting with stochastic return through linear confining potential
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• The cost of stochastic resetting
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• Stochastic Resetting for Enhanced Sampling
• Diffusion with Partial Resetting
• Diffusion processes with Gamma-distributed resetting and non-instantaneous returns
• Resetting transition is governed by an interplay between thermal and potential energy
• Mitigating long queues and waiting times with service resetting
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• Controlling particle currents with evaporation and resetting from an interval
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• Different anomalous diffusion regimes measured in the dynamics of tracer particles in actin networks
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• Rate enhancement of gated drift-diffusion process by optimal resetting
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• Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise
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• Controlling Uncertainty of Empirical First-Passage Times in the Small-Sample Regime
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• Diversity of Sharp Restart
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• Search with stochastic home-returns can expedite classical first passage under resetting
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• Target Search Optimization by Threshold Resetting
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• Ising Model with Power Law Resetting
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• The one-dimensional telegraphic process with noninstantaneous stochastic resetting
• The distribution of the maximum of independent resetting Brownian motions
• Concentration of Empirical First-Passage Times
• Fluctuations in first passage times and utility of resetting protocol in biochemical systems with two-state toggling
• Thermodynamic Cost of Random-Time Protocols
• Dimensionality-induced dynamical phase transition in the large deviation of local time density for Brownian motion
• Experimental evidence for strong emergent correlations between particles in a switching trap
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• Inducing and optimizing Markovian Mpemba effect with stochastic reset