Mattias Fitzpatrick – Dartmouth College
Title: Quantum Simulation with Superconducting Circuits: Synthetic Quantum Matter to Non-Hermitian Sensing

Abstract: In recent years, superconducting circuits have garnered much attention due to their use in quantum computers and quantum annealers. However, this technological platform can also be used to study problems in condensed matter and many-body physics where microwave photons are the particles of interest and interactions are engineered using superconducting qubits or other nonlinearities. In this talk, I will describe my work building hyperbolic superconducting circuit lattices and the associated flat bands that arise in their band structure. From here, I will discuss recent work in my new lab at Dartmouth, where we have developed a means of controlling the effective photon hopping in lattices. Using directional amplification and phase shifters, I will show how to create effectively tunable hopping rates in the Hermitian and non-Hermitian domains. Finally, I will discuss nonlinearities in the gain-dominated regime and their implications for self-oscillation sensors.