  We present a dynamical study of the disordered quantum p=2 spherical model at
long times. Its phase behavior as a function of spin-bath coupling, strength of
quantum fluctuations and temperature is characterized, and we identify
different paramagnetic and coarsened regions. A quantum critical point at zero
temperature in the limit of vanishing dissipation is also found. Furthermore we
show analytically that the fluctuation-dissipation theorem is obeyed in the
stationary regime.
