  Periodic laser pulsing of singly charged semiconductor quantum dots in an
external magnetic field leads to a synchronization of the spin dynamics with
the optical excitation. The pumped electron spins partially rephase prior to
each laser pulse, causing a revival of electron spin polarization with its
maximum at the incidence time of a laser pulse. The amplitude of this revival
is amplified by the frequency focusing of the surrounding nuclear spins. Two
complementary theoretical approaches for simulating up to 20 million laser
pulses are developed and employed that are able to bridge between 11 orders of
magnitude in time: a fully quantum mechanical description limited to small
nuclear bath sizes and a technique based on the classical equations of motion
applicable for a large number of nuclear spins. We present experimental data of
the nonmonotonic revival amplitude as function of the magnetic field applied
perpendicular to the optical axis. The dependence of the revival amplitude on
the external field with a profound minimum at $4\;$T is reproduced by both of
our theoretical approaches and is ascribed to the nuclear Zeeman effect. Since
the nuclear Larmor precession determines the electronic resonance condition, it
also defines the number of electron spin revolutions between pump pulses, the
orientation of the electron spin at the incidence time of a pump pulse, and the
resulting revival amplitude. The magnetic field of $4\;$T, for example,
corresponds to half a revolution of nuclear spins between two laser pulses.
