Many-Body Quantum Physics with Photons

Orateur : Karyn LE HUR (CPHT Ecole Polytechnique and CNRS, Palaiseau)

We review recent developments in the context of many-body quantum physics with microwave photons in superconducting quantum electrodynamics networks and Josephson junction arrays. First, we show how the Jaynes-Cummings lattice model yields an analogy with the Bose-Hubbard model and can allow to engineer a Mott-superfluid transition of photons. We discuss the challenges to achieve such a transition, requiring the coupling to AC perturbations and the necessity to include dissipation effects. We also discuss progress in methods and probes. Then, we discuss realizations of topological phases and robust photonics by analogy to progress in quantum materials and ultra-cold atoms, and address disorder and interaction effects. We also show the simulation of novel topological chain devices with superconducting and Josephson circuits. Experimental progress and realizations are are discussed. Such systems also offer novel platforms to address and probe dissipative and driven quantum impurity physics, such as the Kondo effect.

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