  Quantum system abruptly driven from its stationary phase can reveal
nontrivial dynamics upon approaching a new final state. We investigate here
such dynamics for a correlated quantum dot sandwiched between the metallic and
superconducting leads, considering two types of quenches feasible
experimentally. In particular, we examine an interplay between the proximity
induced electron pairing with correlations caused by the on-dot Coulomb
repulsion. We discuss the time-dependent charge occupancy, complex order
parameter, transient currents, and analyze evolution of the subgap
quasiparticles which could be empirically observed in the tunneling
conductance.
