Description
State of the art quantum simulators permit local temporal control of interactions and midcircuit readout. These capabilities pave the way towards the exploration of intriguing non-equilibrium phenomena. We illustrate this by discussing a dissipative many-body model with kinetic constraints, which can for example be implemented on Rydberg quantum simulation platforms. The dynamics, which proceeds in discrete time, is generated by repeatedly entangling the system with an auxiliary environment that is measured and reset after each time-step. Despite featuring an uncorrelated infinite temperature average stationary state, the dynamics features a transition between a trivial a non-trivial phase. The latter is characterized by the coexistence of fast and slow space-time regions in stochastic realizations of the system state. The recorded measurements on the environment serve as natural probe of this transition, which we characterize using tools from large deviation theory. Our work establishes the large deviation framework for discrete-time open many-body systems as a means to characterize complex dynamical processes and collective phenomena in quantum processors and simulators.
