Search of stochastically gated targets with diffusive particles under resetting

The effects of Poissonian resetting at a constant rate $r$ on the reaction time between Brownian particle and stochastically gated target are studied. switches reactive state non-reactive one. We calculate mean which subject to hits for first time, while latter is in state. search minimum that depends transition rates. When relaxation much larger than both inverse diffusion system becomes equivalent partially absorbing boundary problem. In other cases, however, optimal can be non-monotonic function rates, feature not observed partial absorption. compute relative fluctuations hitting around its compare our results with ungated case. usual universal behavior these processes their optimum breaks down due internal dynamics.