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!

Tomoki Ozawa, Hannah M. Price, Alberto Amo, Nathan Goldman, Mohammad Hafezi, Ling Lu, Mikael Rechtsman, David Schuster, Jonathan Simon, Oded Zilberberg, Iacopo Carusotto, "Topological Photonics" arXiv: 1802.04173 (2018)

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" Physical Review A 97, 013818 (2018)

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)