Spatial mode decomposition of back-scattered light from a levitated nanoparticle yields 3D displacement sensitivities below zero-point motion with estimated total efficiencies above 1/9.
1 0 0 0 cos( ϕ) sin( ϕ) 0 −sin(ϕ) cos(ϕ) # , (B6) we may define a set of electric fields LPℓ,m(r) = LPℓ,m(r′′)
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Three-Dimensional and Selective Displacement Sensing of a Levitated Nanoparticle via Spatial Mode Decomposition
Spatial mode decomposition of back-scattered light from a levitated nanoparticle yields 3D displacement sensitivities below zero-point motion with estimated total efficiencies above 1/9.