Experimental bounds on linear-friction dissipative collapse models from levitated optomechanics

Collapse models constitute an alternative to quantum mechanics that solve the well-know quantum measurement problem. In this framework, a novel approach to include dissipation in collapse models has been recently proposed, and awaits experimental validation. Our work establishes experimental bounds on the so-constructed linear-friction dissipative Di\'osi-Penrose (dDP) and Continuous Spontaneous localisation (dCSL) models by exploiting experiments in the field of levitated optomechanics. Our results in the dDP case exclude collapse temperatures below $10^{-13}$K and $6 \times 10^{-12}$K respectively for values of the localisation length smaller than $10^{-6}$m and $10^{-8}$m. In the dCSL case the entire parameter space is excluded for values of the temperature lower than $6 \times 10^{-9}$K.