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We consider a possible route to ground state cooling of a levitatednanoparticle, magnetically trapped by a strong permanent magnet, using acombination of measurement and feedback. The trap frequency of this system ismuch lower than those involving trapped ions or nano-mechanical resonators.Minimisation of environmental heating is therefore challenging as it requirescontrol of the system on a timescale comparable to the inverse of the trapfrequency. We show that these traps are an excellent platform for performingoptimal feedback control via real-time state estimation, for the preparation ofmotional states with measurable quantum properties.

Measurement and feedback for cooling heavy levitated particles in low frequency traps