Many-Body Quantum Physics with Photons
In this Talk, we survey recent theoretical studies concerning the realization of many-body quantum physics with photons. First we introduce the Jaynes-Cummings lattice model and discuss the emergent Mott-Superfluid transition of light in electromagnetic resonator arrays. We also build an analogy with the Bose-Hubbard model. Then, we show how to engineer artificial gauge fields for light and discuss related topological phases of photons. At a general level, transmission lines (long waveguides or Josephson junction arrays) can also be viewed as Ohmic dissipative baths that can be used to engineer novel many-body physics with light. As an example, we discuss a way to emulate the spin-boson model or anisotropic Kondo model and we introduce the notion of photonic Kondo resonance obtained by sending microwave light in the underdamped limit.