Open system quantum simulation with Rydberg atoms

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Harnessing non-classical properties of many-particle Quantum systems lies at the heart of disruptive quantum technologies such as quantum simulation, quantum communication, or quantum-enhanced measurements. Recently, the PI and others have discovered that controlled dissipation can be a valuable resource in enabling These future applications. However, dissipative quantum many-body systems are far away from thermal equilibrium and therefore behavevery differently from their equilibrium counterparts, requiring new theoretical tools and concepts to study them. The goal of this research proposal is to further advance a novel variational Approach to the dynamics of dissipative systems, which has been pioneered bythe PI, and to apply this method to strongly interacting Rydberg atoms. In particular, dissipative Rydberg gases serve as an ideal environment to study dissipative quantum many-body dynamics, thanks to their unrivaled interaction and dissipation properties. Withinthis framework, new fundamental insights into dissipative Quantum many-body systems are within reach, as well as providing the first abinitio simulations for ongoing and future experiments.