We solve a stochastic master equation based on the theory of Savard et al.
[T. A. Savard. K. M. O'Hara, and J. E. Thomas, Phys, Rev. A 56, R1095 (1997
)] for heating arising from fluctuations in the trapping laser intensity. W
e compare with recent experiments of Ye et al. [J. Ye, D. W. Vernooy, and H
. J. Kimble, Phys. Rev. Lett. 83, 4987 (1999)], and find good agreement wit
h the experimental measurements of the distribution of trap occupancy times
. The major cause of trap loss arises from the broadening of the energy dis
tribution of the trapped atom, rather than the mean heating rate, which is
a very much smaller effect.