When a magnetic field is applied to an electron, it begins to undergo cyclotron orbits due to the Lorentz force; this gives rise to exotic physics like the (quantum) Hall effect, the Shubnikov-de Haas oscillations, and more. Photons are electrically neutral, so they do not naturally exhibit these fascinating phenomena used to characterized solid state materials. In the process of developing techniques to induce photons to behave as though they live in a magnetic field, we discovered that we could make them behave as though they are near a singularity of spatial curvature, akin to a black hole; this interplay of curvature and momentum-space topology is an extremely active area of research, and is uniquely accessible in our experiments.

- A few talks given by Jon on the topic: Harvard ITAMP, KITP Topological Quantum Materials , Simons Center for Geometry and Physics , KITP Few-Body Physics, Manybody Cavity QED .

Nathan Schine, Michelle Chalupnik, Tankut Can, Andrey Gromov, Jonathan Simon, "Measuring Electromagnetic and Gravitational Responses of Photonic Landau Levels" Nature 565, 173-179

Leon Lu, Ningyuan Jia, Lin Su, Clai Owens, Gediminas Juzeliunas, David Schuster, Jonathan Simon, "Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit" Physical Review B 99, 020302

Logan Clark, Ningyuan Jia, Nathan Schine, Claire Baum, Alexandros Georgakopoulos, Jonathan Simon, "Interacting Floquet Polaritons" arXiv: 1806.10621

Alexandros Georgakopoulos, Ariel Sommer, Jonathan Simon, "Theory of Interacting Cavity Rydberg Polaritons" Quantum Science and Technology, 4, 1

Peter Ivanov, Fabian Letscher, Jonathan Simon, Michael Fleischhauer, "Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons" Physical Review A 98, 013847