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We report on collective non-linear dynamics in an optical lattice formedinside a high finesse ring cavity in a so far unexplored regime, where thelight shift per photon times the number of trapped atoms exceeds the cavityresonance linewidth. We observe bistability and self-induced squeezingoscillations resulting from the retro-action of the atoms upon the opticalpotential wells. We can well understand most of our observations within asimplified model assuming adiabaticity of the atomic motion. Non-adiabaticaspects of the atomic motion are reproduced by solving the complete system ofcoupled non-linear equations of motion for hundred atoms.Comment: 4 pages, 5 figure

Collective Atomic Motion in an Optical Lattice Formed Inside a High Finesse Cavity