Coordination Funds

协调基金

• 批准号: 318597316
• 负责人: Professor Dr. Walter Hofstetter
• 金额: --
• 依托单位: Institut für Theoretische Physik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2016
• 资助国家: 德国
• 起止时间: 2015-12-31 至 2023-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/318597316?language=en
• 关键词: Coordination; Funds

Topology has emerged as an important concept for characterizing quantum matter, which, together with symmetry, gives rise to a plethora of new and exotic phases. At the interface between topologically distinct phases, seemingly impossible phenomena become reality, such as charge fractionalization, chiral currents or single Dirac cones. Because topological phenomena give rise to extremely precise quantization and robustness against disorder, they hold promise for game-changing applications ranging from metrology to quantum computation. Topological effects are at the focus of current research, with new concepts and new topological materials being discovered at an amazing pace. The interplay of topology and strong interactions is one of the most vibrant and challenging problems in condensed-matter physics. Because topological properties and interactions cannot be tuned independently in real materials, quantum simulators of topological systems have gained increasing attention. In particular, ultracold atoms in optical lattices have emerged as a versatile platform for combining strong artificial gauge fields and topological band structures with tunable strong interactions. Because the atoms are charge-neutral, gauge fields are engineered by laser couplings and using powerful Floquet techniques. Diverse experimental platforms have been realized, enabling studies of the Hofstadter model, the Haldane model, ladder systems and one-dimensional chains. Moreover, disorder and quasiperiodic lattices can be implemented. Next to the quantum simulation of solid-state effects, cold atoms also allow to study even more exotic systems such as bosonic systems, highspin systems or high-dimensional systems, hence, providing access to the 4d quantum Hall effect or anomalous Floquet topological systems without any static counterpart. Finally, combining artificial gauge fields with quantum-gas microscopy allows single-site access to topological systems with the promise to gain new insights into strongly-correlated phases and to directly manipulate exotic excitations. In the first funding period, this Research Unit has significantly contributed to these developments, which bring cold atoms research to the forefront of topological physics. This was possible via a joint effort of experiment and theory using the most advanced experimental, analytical and numerical techniques. In the second funding period, the focus will be on realizing interacting topological phases and, ultimately, fractional Chern insulators. We will provide the necessary theoretical background and systematically study engineering and preparation of topological states. Furthermore, we will push the field to new limits such as non-abelian excitations and dynamical gauge fields, which also provide a bridge to high-energy physics. Our combined experimental and theoretical effort will lead to important insights into interacting topological matter and pave the way for future applications.

拓扑已经成为表征量子物质的一个重要概念，它与对称性一起产生了大量的新的和奇异的相。在拓扑上不同的相之间的界面上，看似不可能的现象成为现实，如电荷分馏，手征电流或单狄拉克锥。由于拓扑现象产生了非常精确的量化和对无序的鲁棒性，它们有望改变从计量学到量子计算的游戏规则。拓扑效应是当前研究的焦点，新概念和新拓扑材料正以惊人的速度被发现。拓扑结构和强相互作用的相互作用是凝聚态物理中最具活力和挑战性的问题之一。由于拓扑性质和相互作用在真实的材料中无法独立调节，因此拓扑系统的量子模拟器越来越受到关注。特别是，光学晶格中的超冷原子已经成为一个多功能的平台，可以将强人工规范场和拓扑能带结构与可调强相互作用结合起来。因为原子是电荷中性的，规范场是通过激光耦合和使用强大的Floquet技术来设计的。已经实现了不同的实验平台，使研究的霍夫施塔特模型，Haldinger模型，梯形系统和一维链。此外，可以实现无序和准周期晶格。除了固态效应的量子模拟之外，冷原子还可以研究更奇特的系统，如玻色子系统，高自旋系统或高维系统，因此，可以在没有任何静态对应物的情况下访问4d量子霍尔效应或异常Floquet拓扑系统。最后，人工规范场与量子气体显微镜相结合，允许单站点访问拓扑系统的承诺，以获得新的见解强相关的阶段，并直接操纵奇异的激发。在第一个资助期内，该研究单位为这些发展做出了重大贡献，将冷原子研究带到了拓扑物理学的最前沿。这是可能的，通过共同努力的实验和理论，使用最先进的实验，分析和数值技术。在第二个资助期，重点将是实现相互作用的拓扑相，并最终实现分数陈氏绝缘体。我们将提供必要的理论背景，系统地研究拓扑态的工程和制备。此外，我们将推动该领域的新的限制，如非阿贝尔激发和动态规范场，这也提供了一个桥梁，以高能物理。我们结合实验和理论的努力将导致重要的见解相互作用的拓扑物质，并为未来的应用铺平道路。