Superconducting levitation is a well known phenomenon and widely used for demonstration experiments of superconductivity and also for industrial applications, such as in low-friction, magnetic bearings. Here, we use superconducting levitation as a means to levitate microscopic magnetic particles for their use as mechanical resonators. Thereby, the levitated particles show a minimal coupling to the thermal environment, which leads to ultra-low dissipation mechanical systems that could be used for measurements of minute forces or accelerations or, ultimately, for the creation of macroscopic quantum states of motion.
This project requires the simulation of chip-based magnetic trapping structures that enable levitating micrometer-sized magnetic objects. These simulations are based on FEM software. The simulations require fine meshing and incorporate parameter sweeps over different quantities of interest, for example dimensions of on-chip structures, object size, shape and position. This requires extensive computational efforts.