Uros DelicUniversity of Vienna The field of quantum optomechanics aims to exploit light-matter interaction in order to realize macroscopic quantum states of massive solid-state mechanical objects. Within optomechanics, optically levitated dielectric nanoparticles have emerged as a promising platform for tests of fundamental physics, development of novel sensing techniques or investigation of complex non-equilibrium physics. Optical trapping provides unique possibilities for quantum state preparation, for example through engineering of dynamic and nonlinear optical potentials. I will discuss recent experimental advances in levitated optomechanics, such as the motional quantum ground state preparation [1] and the observation of non-reciprocal optical interactions between two nanoparticles [2]. The rapidly developing control toolbox allows us to…