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Optomechanical cooling of levitated dielectric particles represents apromising new approach in the quest to cool small mechanical resonators towardstheir quantum ground state. We investigate two-mode cooling of levitatednanospheres in a self-trapping regime. We identify a rich structure of splitsidebands (by a mechanism unrelated to usual strong-coupling effects) andstrong cooling even when one mode is blue detuned. We show the best regimesoccur when both optical fields cooperatively cool and trap the nanosphere,where cooling rates are over an order of magnitude faster compared tocorresponding single-sideband cooling rates.

Optomechanical cooling of levitated spheres with doubly-resonant fields