deed, in these limits the two protocols are virtually indistinguishable as returns are effectively instantaneous. On the other extreme, i.e., for long return times and slow return speeds, marked differences are found between the distributions (Fig. S4 and S6).

*First Passage under stochastic resetting.—* Having realized diffusion with stochastic resetting and analyzed its stationary properties, we now turn to study how resetting affects the first-passage statistics of a Brownian particle. First-passage processes have numerous applications in natural sciences as they are used to describe anything from chemical reactions to single‐cell growth and division, and everything from transport dynamics to search and animal foraging [@Evans2011_3; @Restart-Biophysics1; @Restart-Biophysics2; @Restart-Biophysics6; @Restart-Biophysics3; @Restart-Biophysics8; @RednerBook; @Schehr-review; @ReuveniPRL; @PalReuveniPRL; @branching_II; @Restart-Search1; @Restart-Search2; @Chechkin; @Landau; @HRS; @Frinkes2010; @Branton2010; @Tu2013; @Bezrukov2000; @Grunwald2010; @Ghale2014; @Ma2013; @Iyer2014; @Ingraham1983; @Amir2014; @Osella2014; @cooper1991; @MetzlerBook]. To this end, it is known that while the mean first-passage time (MFPT) of a Brownian particle to a stationary target diverges [@RednerBook; @Schehr-review], resetting will render it finite [@Evans2011_1] even if the returns are non-instantaneous [@Restart-Biophysics1; @Restart-Biophysics2; @Restart-Biophysics6; @HRS; @return3; @return5].

To experimentally study first-passage under stochastic resetting, we consider the setup illustrated in [Fig. \[Fig:MFPT\]]{}a. In this set of experiments, similarly to the previous set, the experiment starts at time zero with the particle positioned at the origin. Resetting is conducted stochastically with rate $r$, and HOTs are used to return the particle to the origin at a constant return time $\tau_0$. However, we now also define a target, set to be a virtual infinite absorbing wall located at $x=L$, i.e., parallel to the $y$-axis. Th