Juan Jose Garcia Ripoll, Instituto de Física Fundamental
In this talk I will review the field of superconducting quantum circuits and its most recent theoretical and experimental developments. The talk will begin with a self-contained explanation of why and how electrical circuits must be described with quantum Hamiltonians, becoming not only a promising architecture for quantum information processing, but also a lab in which to probe new regimes of light-matter interaction. Introducing the so called "ultrastrong coupling regime", it will be shown how such strong photon-qubit interactions have been probed in the lab and how they challenge our understanding of Quantum Optics. Finally, I will present the new theoretical tools that we are developing to model these systems, which range from new simulation methods based on Quantum Information ideas to fundamental results on the propagation of correlations, or Lieb-Robinson bounds.