Diffraction and interference with run-and-tumble particles

Abstract

Run-and-tumble particles, frequently considered today for modeling bacterial locomotion, naturally appear outside a biological context as well, e.g. for producing waves in the telegraph process. Here, we use a wave function to drive their propulsion and tumbling. Such quantum-active motion realizes a jittery motion of Dirac electrons (as in the famous Zitterbewegung): the Dirac electron is a run-and-tumble particle, where the tumbling is between chiralities. We visualize the trajectories in diffraction and double slit experiments for electrons. In particular, that yields the time-of-arrival statistics of the electrons at the screen. Finally, we observe that away from pure quantum guidance, run-and-tumble particles with suitable spacetime-dependent parameters produce an interference pattern as well.

25 pages, 43 figures

References in corpus (4)

• Irreversibility and biased ensembles in active matter: Insights from stochastic thermodynamics
• Hydrodynamics of chiral squirmers
• Times of Arrival and Gauge Invariance
• Questioning the adequacy of certain quantum arrival-time distributions

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