  We investigate the nonequilibrium phenomena through the quantum dot coupled
to the normal and superconducting leads using a weak-coupling continuous-time
Monte Carlo method. Calculating the time evolution of particle number, double
occupancy, and pairing correlation at the quantum dot, we discuss how the
system approaches the steady state. We also deduce the steady current through
the quantum dot beyond the linear response region. It is clarified that the
interaction decreases the current in the Kondo-singlet dominant region. On the
other hand, when the quantum dot is tightly coupled to the superconducting
lead, the current is increased by the introduction of the Coulomb interaction,
which originates from the competition between the Kondo and proximity effects.
Transient currents induced by the interaction quench are also addressed.
