We study a scheme for state-insensitive trapping of neutral atoms by using light with two
independent wavelengths. In particular, we describe the use of trapping and control lasers to
minimize the variance of the potential experienced by a trapped Rb atom in ground and
excited states. We present calculated values of wavelength pairs for which the 5 s and 5 p
3/2 levels have the same ac Stark shifts in the presence of two laser fields.