We consider one source of decoherence for a single trapped ion due to
intensity and phase fluctuations in the exciting laser pulses. For sim
plicity we assume that the stochastic processes involved are white noi
se processes, which enables us to give a simple master equation descri
ption of this source of decoherence. This master equation is averaged
over the noise, and is sufficient to describe the results of experimen
ts that probe the oscillations in the electronic populations as energy
is exchanged between the internal and electronic motion. Our results
are in good qualitative agreement with recent experiments and predict
that the decoherence rate will depend on vibrational quantum number in
different ways depending on which vibrational excitation sideband is
used.