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