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 .

Alexandros Georgakopoulos, Ariel Sommer, "Theory of Interacting Cavity Rydberg Polaritons" arXiv: 1805.07315 (2018)

Peter Ivanov, Fabian Letscher, Jonathan Simon, Michael Fleischhauer, "Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons" arXiv: 1803.04156 (2018)

Nathan Schine, Michelle Chalupnik, Tankut Can, Andrey Gromov, Jonathan Simon, "Measuring Electromagnetic and Gravitational Responses of Photonic Landau Levels" arXiv 1802.04418 (2018)

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)

Jia Ningyuan, Nathan Schine, Alexandros Georgakopoulos, Albert Ryou, Ariel Sommer, Jonathan Simon, "Photons and polaritons in a broken-time-reversal non-planar resonator" Physical Review A 97, 013802 (2018)