Designing non-equilibrium states of quantum matter through stochastic\n resetting

Abstract

We consider closed quantum many-body systems subject to stochastic resetting.\nThis means that their unitary time evolution is interrupted by resets at\nrandomly selected times. When a reset takes place the system is reinitialized\nto a state chosen from a set of reset states conditionally on the outcome of a\nmeasurement taken immediately before resetting. We construct analytically the\nresulting non-equilibrium stationary state, thereby establishing an explicit\nconnection between quantum quenches in closed systems and the emergent open\nsystem dynamics induced by stochastic resetting. We discuss as an application\nthe paradigmatic transverse-field quantum Ising chain. We show that signatures\nof its ground-state quantum phase transition are visible in the steady state of\nthe reset dynamics as a sharp crossover. Our findings show that a controlled\nstochastic resetting dynamics allows to design non-equilibrium stationary\nstates of quantum many-body systems, where uncontrolled dissipation and heating\ncan be prevented. These states can thus be created on demand and exploited,\ne.g., as a resource for quantum enhanced sensing on quantum simulator\nplatforms.\n