Princeton University

School of Engineering & Applied Science

Lattices in Circuit Quantum Electrodynamics: A Platform for Nonequilibrium Quantum Simulation

Mattias Fitzpatrick
Prof. Houck
Engineering Quadrangle J401
Friday, May 3, 2019 - 10:00am to 11:30am


In recent years, superconducting circuits have emerged as a promising platform for quantum computation and quantum simulation. One of the main driving forces behind this progress has been the ability to fabricate relatively low-disorder, low-loss circuits with a high-degree of control over many of the circuit parameters, both in fabrication and in-situ. This coupled with advances in cryogenics and microwave control electronics have significantly improved the rate of progress. The field, which is broadly called circuit quantum electrodynamics (cQED) has become one of the cleanest and most flexible platforms for studying strong interactions between light and matter.

In this thesis, we explore large-scale, interacting superconducting circuit lattices to investigate nonequilibrium quantum simulation. We experimentally measure 72-site one-dimensional array of coplanar waveguide cavities and transmon qubits and a hyperbolic array of coplanar waveguide cavities. Finally, we develop a mathematical understanding of the origin of flatbands in these systems and derive ways to maximize the gaps between the flat bands and the rest of the spectrum.