  Optically driven electronic spins coupled in quantum dots to nuclear spins
show a pre-pulse signal (revival amplitude) after having been trained by long
periodic sequences of pulses. The size of this revival amplitude depends on the
external magnetic field in a specific way due to the varying commensurability
of the nuclear Larmor precession period with the time $T_\text{rep}$ between
two consecutive pulses. In theoretical simulations, sharp dips occur at fields
when an integer number of precessions fits in $T_\text{rep}$; this feature
could be used to identify nuclear isotopes spectroscopically. But these sharp
and characteristic dips have not (yet) been detected in experiment. We study
whether the nuclear quadrupolar interaction is the reason for this discrepancy
because it perturbs the nuclear precessions. But our simulations show that the
absolute width of the dips and their relative depth are not changed by
quadrupolar interactions. Only the absolute depth decreases. We conclude that
quadrupolar interaction alone cannot be the reason for the absence of the
characteristic dips in experiment.
