Superconducting quantum circuits are an emerging quantum computing platform which now competes aggressively with the best trapped-ion systems. In a collaboration with the Schuster Lab, we are using the exquisite quantum coherence of these devices to build synthetic materials composed of strongly interacting microwave photons.

- The figure above shows our first attempt at an autonomously stabilized photonic Mott insulator
- We have demonstrated the first topologically insulating circuit, in both the time-reversal-symmetric and time-reversal-broken regimes.
- We have developed theoretical descriptions of topologically non-trivial, interacting Harper-Hofstadter models, as well as tools for populating them with particles at zero-temperature and non-zero chemical potential.
- The macroscopic nature of these systems enables us to achieve single-photon, single-lattice site resolution-- akin to a quantum gas microscope for photonic quantum materials!

Clai Owens, Aman LaChapelle, Brendan Saxberg, Brandon Anderson, Ruichao Ma, Jonathan Simon, David I Schuster, "Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array" arXiv:1708.01651

Ruichao Ma, Clai Owens, Andrew Houck, David I Schuster, Jonathan Simon, "An Autonomous Stabilizer for Incompressible Photon Fluids and Solids" Physical Review A 95, 043811 2017

Ruichao Ma, Clai Owens, Aman LaChapelle, David I Schuster, Jonathan Simon, "Hamiltonian tomography of photonic lattices" Physical Review A 95, 062120 2017

Brandon M Anderson, Ruichao Ma, Clai Owens, David I Schuster, Jonathan Simon, "Engineering Topological Many-Body Materials in Microwave Cavity Arrays" Physical Review X 4, 041043 2016

Jia Ningyuan, Clai Owens, Ariel Sommer, David Schuster, Jonathan Simon, "Time-and site-resolved dynamics in a topological circuit" Physical Review X 2, 021031 2015