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We consider a nanoparticle levitated in a Paul trap in ultrahigh cryogenicvacuum, and look for the conditions which allow for a stringentnoninterferometric test of spontaneous collapse models. In particular wecompare different possible techniques to detect the particle motion. Keyconditions which need to be achieved are extremely low residual pressure andthe ability to detect the particle at ultralow power. We compare threedifferent detection approaches based respectively on a optical cavity, opticaltweezer and a electrical readout, and for each one we assess advantages,drawbacks and technical challenges.

Testing collapse models with levitated nanoparticles: the detection challenge