We report a way to overcome heating due to the reabsorption of scattered li
ght when relatively many atoms are laser cooled at high density. A sample o
f 8 x 10(7) Cs atoms, with 6 x 10(11) atoms cm(-3), is loaded into a deep f
ar-detuned one-dimensional optical lattice, which acts as a large volume th
ree-dimensional (3D) trap. Polarization gradient cooling with a separate se
t of cooling beams is found to work well in this trap, populating the; trap
's vibrational ground state with more than half the atoms. After cooling, t
he lattice is shut off adiabatically, leaving a still dense sample at 1.2 m
u K. We propose and demonstrate a generalization to a 3D lattice, which wil
l allow many more atoms to be loaded into conservative light traps, and can
greatly increase the initial phase-space density for loading magnetic trap
s. [S1050-2947(99)51201-8].