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From many-body physics to quantum information with atomic and photonic systems
Quantum many-body systems have unique properties that give rise to fascinating phenomena and potential applications, ranging from exotic phases of matter to new paradigms for information processing and communication. Novel technological developments in quantum optical systems allow to engineer controlled quantum many-body systems and to create and probe states of matter in otherwise inaccessible ways but also pose new theoretical challenges for describing such systems. I will illustrate this in my talk on a few examples. To this end I will first discuss the physics of arrays of individually trapped Rydberg atoms and the associated quantum many-body phenomena. This includes the equilibrium quantum phase diagram in 1D and the universal quantum critical behavior of the various accessible quantum phase transitions, as well as novel non-equilibrium phenomena such as quantum many-body scars. Moreover I show how these systems can be used to naturally encode combinatorial optimization problems and realize quantum annealers. In the second part of this talk I focus on atom-photon interfaces and present a novel way to create highly entangled states of photons by sequentially generating and correlating photons using a single quantum emitter in a waveguide QED setting. I show that employing novel concepts, such as delayed quantum feedback dramatically expands the class of achievable photonic quantum states and allows to generate states that are universal resources for quantum computation with minimal experimental resources.