The Photonic Forces group seeks a motivated and talented PhD student working at the intersection of the fields of nano-optomechanics and topological physics. Nanomechanical resonators are versatile systems for sensing applications and to study fundamental physical phenomena. We recently demonstrated that networks of nanomechanical modes can be generated by coupling them through the radiation pressure of laser control fields in nano-optomechanical cavities. Using suitable temporal laser modulation, this allows breaking time-reversal symmetry and control non-Hermitian dynamics, i.e., mechanical gain and loss. In this project, you will experimentally investigate the unique states that can exist in such networks as a result. These can be associated with their description as non-Hermitian topological phases of bosonic lattices. We will investigate whether the special properties of these networks, including unidirectional transport and amplification of mechanical vibrations, can be used to boost nanomechanical sensing performance. To this end, we will investigate these systems at the quantum measurement limit in cryogenic experiments. The projects combine nanofabrication and advanced optical measurement techniques with a solid connection to the rich background theory of the topic. You will work in close connection to other group members, and be involved in all aspects of design, realization, and optical experiments.