Abstract
The advent of superconducting quantum circuits as a robust scientific platform and contender for quantum computing applications is the result of decades of research in light-matter interaction, low-temperature physics, and microwave engineering. The fundamental building blocks in this field, known as circuit quantum electrodynamics, are classical microwave circuit elements and quantum bits (qubits). With these elements, we can build complex quantum circuits to study non-equilibrium physics with light.
 
Open questions in this area currently pose significant challenges theoretically, thus experiment-based research has the potential to lead to significant advancements in this field. Here we examine phenomena that arise in the realm of many-body physics with light, including interaction between spatially localized light in a photonic crystal and light-matter interaction in a meter-long cavity.