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We study quantum dynamics in the framework of repeated interactions between asystem and a stream of identical probes. We present a coarse-grained masterequation that captures the system's dynamics in the natural regime whereinteractions with different probes do not overlap, but is otherwise valid forarbitrary values of the interaction strength and mean interaction time. We thenapply it to some specific examples. For probes prepared in Gibbs states, suchchannels have been used to describe thermalisation: while this is the case formany choices of parameters, for others one finds out-of-equilibrium statesincluding inverted Gibbs and maximally mixed states. Gapless probes can beinterpreted as performing an indirect measurement, and we study the energytransfer associated with this measurement.

Nonequilibrium Dynamics with Finite-Time Repeated Interactions