FOR 5413: Long-range interacting Quantum Spin systems out of equilibrium: Experiment, Theory and Mathematics

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Quantum systems whose constituents interact via long-range forces are expected to exhibit highly unusual properties, such as super-extensive scaling of thermodynamic quantities, strong correlations and enhanced collective behaviour. Important breakthroughs in the manipulation of cold atomic gases have recently enabled the experimental realisation of such intriguing quantum systems. This opens up new exciting opportunities in the very active research field of control and utilisation of collective phenomena in quantum matter. In order to make the best possible use of these opportunities, there is a strong need to further develop various experimental and theoretical methods in a coordinated manner.We propose an interdisciplinary Research Unit whose concerted programme of research addresses important and timely questions on many-body quantum systems with long-range interactions. Our ultimate goals are the understanding, realisation and control of complex quantum matter possessing collectively enhanced yet robust properties with various applications in emerging quantum technologies, such as metrology and sensing. To achieve the desired breakthroughs, we assemble a team of internationally distinguished researchers whose complementary expertise spans the broad range of experimental, theoretical and mathematical physics, as well as numerical analysis. On the experimental side our distinct focus will be on platforms that feature highly controllable gases of Rydberg atoms in free space and in the modified environments of optical and microwave cavities. Concerted efforts in mathematical and theoretical research will go hand in hand with the experimental research and develop new theoretical approaches, methods, and techniques to advance our understanding of highly correlated many-body quantum matter. Building on the Center for Quantum Science at the University of Tübingen, this Research Unit will establish a flourishing research environment that brings together an interdisciplinary group of outstanding scientists. Moreover, a close alignment of the research with graduate courses in advanced quantum theory and mathematical physics will maximise synergies and create a unique interdisciplinary science ecosystem for graduate students, postgraduate trainees and experienced researchers.