Theory

Theory

Theory

Good experimentalists know how to calculate! In our quest to engineer and explore exotic materials, we often need to develop new techniques- on these occasions we grind out theory like the best of 'em (probably not the best of 'em-- we are experimentalists, first and foremost!); recent examples include a Floquet theory of (twisted, aspheric and non-paraxial) optical resonators and a new approach to stabilization of incompressible photonic quantum materials at non-zero chemical potential. See the publications below for details!

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

Ariel Sommer, Jonathan Simon, "Engineering photonic Floquet Hamiltonians through Fabry-Perot resonators" New Journal of Physics 3, 035008 2016

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

Ariel Sommer, Hans Peter B{"u}chler, Jonathan Simon, "Quantum Crystals and Laughlin Droplets of Cavity Rydberg Polaritons" arXiv:1506.00341 , 2015