Non-linear dynamics of Hybrid quantum system

The theoretical and experimental advances made in the realization of a diverse set of systems, ranging from single-particle systems to multiparticle systems, have led to the emergence of the field of hybrid quantum systems (HQS). The precise control of these HQS can be achieved by fine-tuning the properties of the constituent subsystems. Their applications in the field of quantum information processing, quantum simulations, quantum sensing, quantum transduction, and more have demonstrated that they are more than just a theoretical curiosity.

In our work, we investigate a HQS comprised of a disk-shaped magnet coupled to a nitrogen vacancy (NV) center in diamond. Due to the non-linear interactions present in the magnet, this system serves as an ideal platform to explore the effects of non-linearity in hybrid quantum systems. The origin of such non-linear interactions can result from magnetocrystalline anisotropy or shape-dependent anisotropy. We study the dynamics of this coupled system by devising a framework that utilizes the Landau-Lifshitz-Gilbert equation and Lindblad master equation. We will present the behavior of experimentally accessible photoluminescence in the presence of non-linearity for different magnetic materials.