000002093 001__ 2093 000002093 005__ 20240523045508.0 000002093 0247_ $$2doi$$a10.6082/uchicago.2093 000002093 041__ $$aen 000002093 245__ $$aCreating Quantum Topological Materials with 3D Microwave Photons 000002093 260__ $$bThe University of Chicago 000002093 269__ $$a2019-12 000002093 300__ $$a158 000002093 336__ $$aDissertation 000002093 502__ $$bPh.D. 000002093 520__ $$aThe recent rapid advancement in the ability to create and manipulate superconducting qubit systems has created an exciting opportunity to construct quantum materials from the ground up, artificial atom by atom. This thesis will explore the creation of a new architecture of quantum simulation in which we use the circuit quantum electrodynamics toolbox to build quantum topological materials that so far have proven difficult to understand with theory, simulate with computational methods, and realize/measure with other quantum systems. Specifically we design a two-dimensional material in which microwave photons living in a superconducting 3D microwave cavity lattice interact strongly with a time-reversal symmetry breaking magnetic field and with each other. This is the first photonic topological lattice platform compatible with strong interactions. The combination of these interactions will enable the study of fractional quantum Hall systems, where fractionally charged particles called anyons are theorized to exist. This thesis describes how to engineer a tunable, low loss microwave lattice, create a magnetic field for chargeless photons using ferrite crystals, and generate inter-particle interactions using Josephson junction transmon qubits. 000002093 542__ $$fCC BY-NC-ND 000002093 650__ $$aQuantum physics 000002093 653__ $$aMaterials 000002093 653__ $$aMicrowave 000002093 653__ $$aPhotonic 000002093 653__ $$aQuantum 000002093 653__ $$aQubits 000002093 653__ $$aTopology 000002093 690__ $$aPhysical Sciences Division 000002093 691__ $$aPhysics 000002093 7001_ $$aOwens, John Claiborne$$uUniversity of Chicago 000002093 72012 $$aJonathan Simon 000002093 72012 $$aDavid Schuster 000002093 72014 $$aMichael Levin 000002093 72014 $$aJohn Carlstrom 000002093 8564_ $$93e11e9da-83c8-4640-8bfc-429215e9181e$$ePublic$$s14408642$$uhttps://knowledge.uchicago.edu/record/2093/files/Owens_uchicago_0330D_15056.pdf 000002093 909CO $$ooai:uchicago.tind.io:2093$$pDissertations$$pGLOBAL_SET 000002093 983__ $$aDissertation