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We show theoretically that the noise due to laser induced backaction actingon a small nanosphere levitated in a standing-wave trap can be considerablyreduced by utilising a suitable reflective boundary. We examine the sphericalmirror geometry as a case study of this backaction suppression effect,discussing the theoretical and experimental constraints. We study the effectsof laser recoil directly, by analysing optical force fluctuations acting on adipolar particle trapped at the centre of a spherical mirror. We also computethe corresponding measurement imprecision in an interferometric,shot-noise-limited position measurement, using the formalism of Fisherinformation flow. Our results show that the standing-wave trapping field isnecessary for backaction suppression in three dimensions, and they satisfy theHeisenberg limit of detection.

Backaction suppression in levitated optomechanics using reflective boundaries