  We investigate external and internal dynamics of a two-level atom strongly
coupled to a weakly pumped nanophotonic cavity. We calculate the dipole force,
friction force, and stochastic force due to the cavity pump field, and show
that a three-dimensional cooling region exists near the surface of a cavity.
Using a two-color evanescent field trap as an example, we perform
three-dimensional Monte-Carlo simulations to demonstrate efficient loading of
single atoms into a trap by momentum diffusion, and the stability of cavity
cooling near the trap center. Our analyses show that cavity cooling can be a
promising method for directly loading cold atoms from free-space into a surface
micro-trap. We further discuss the impact of pump intensity on atom trapping
and loading efficiency.
