Oral: Advances in Quantum Sensing: Nonlinear Superconducting Resonators for Exploring Novel Quantum Materials*

Quantum sensing has emerged as a powerful tool for probing the intricate properties of novel quantum materials. In this presentation, we explore the innovative use of a nonlinear superconducting ring resonator as a versatile platform, which offers high quality factors at low temperatures and is compatible with hybrid and 2D materials to probe quantum processes at the nanoscale. Using controlled environments, it is possible to extract valuable information about the materials' properties. Here, we demonstrate how the inherent nonlinearity within our ring resonator model can be exploited to induce complex dynamics such as multiple equilibria and instabilities. Our system is modeled as a coherently driven mean field Bose-Hubbard dimer in the weakly coupled regime. We investigate the steady-state behavior of our system culminating in a phase diagram of these driven resonator modes that exhibit metastability and bifurcation, which will be outlined and highlighted. Furthermore, we explore the sensitivity and limitations of our resonator model to differentiate between time-reversal symmetry breaking (TRSB) and other non-reciprocal effects, shedding light on the superconductor's unique behavior. Our techniques and methodologies can be employed in a spectrum of experimental setups and device geometries for quantum sensing reaching high sensitivities.