Coordination Funds

通过长程力相互作用的量子系统有望表现出极不寻常的性质，例如热力学数量的超大规模标度、强关联和增强的集体行为。最近，在操纵冷原子气体方面取得的重大突破使这种有趣的量子系统得以在实验上实现。这在控制和利用量子物质中集体现象的非常活跃的研究领域开辟了新的令人兴奋的机会。为了更好地利用这些机会，迫切需要进一步协调发展各种实验和理论方法。我们建议成立一个跨学科研究小组，其协调研究计划旨在解决具有远程相互作用的多体量子系统的重要和及时的问题。我们的最终目标是理解、实现和控制复杂的量子物质，这些物质具有共同增强的但强大的性质，在新兴量子技术中的各种应用，如计量学和传感。为了实现预期的突破，我们组建了一支由国际知名研究人员组成的团队，他们的互补专业知识涵盖了广泛的实验、理论和数学物理以及数值分析。在实验方面，我们的重点将放在以自由空间中高度可控的里德堡原子气体为特征的平台上，以及在光学和微波腔的改进环境中。数学和理论研究的共同努力将与实验研究并驾齐驱，发展新的理论途径、方法和技术，以促进我们对高关联多体量子物质的理解。在图宾根大学量子科学中心的基础上，这个研究小组将建立一个蓬勃发展的研究环境，将一个由杰出科学家组成的跨学科小组聚集在一起。此外，将研究与高级量子理论和数学物理的研究生课程密切结合，将最大限度地提高协同效应，并为研究生、研究生实习生和经验丰富的研究人员创造一个独特的跨学科科学生态系统。

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.