The coherent response of electrons in a double-well superlattice
with two minibands when the superlattice is photoexcited with an
ultra-short laser pulse is studied theoretically. Since the gap
between the two minibands oscillates with the variation of the
quasimomentum, not only do quantum beats - which depend on the
parameters of the superlattice - occur, but also a non-dissipative
quenching of the photoinduced current oscillations appears over
time. These modifications of the oscillations are examined within
the framework of the Kane model, using the parabolic approximation
for electron and heavy-hole states and neglecting the Coulomb
interaction. Numerical calculations of the carrier coherent
dynamics are performed for the case of a δ-pulse excitation
with a phenomenologically introduced damping factor.