Quantum matter with anisotropic dipole-dipole interaction

具有各向异性偶极-偶极相互作用的量子物质

• 批准号: 288092030
• 负责人: Professor Dr. Hans Peter Büchler
• 金额: --
• 依托单位: Institut für Theoretische Physik III
• 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 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/288092030?language=en
• 关键词: Quantum; matter; anisotropic; dipole; interaction

In this project, we study ground state properties of atoms with strong magnetic moments and polar molecules. The main focus is on setups with anisotropic dipole-dipole interactions, which are in close connection to the experimental groups within this collaborative research project. One important aspect is the microscopic description of the quantum droplets in cold dipolar atomic gases: while the beyond-mean-field corrections are well understood in the low-density gas phase, once the instability towards the quantum droplets with a higher density appears, the current description of the beyond-mean-field correction picks up a small imaginary part, which is generally ignored in the analysis. Therefore, it is an open and challenging problem to derive the ground state energy in a microscopic analysis, which is valid in the quantum liquid as well as the low-density gas phase. A second important aspect is the behavior of the beyond-mean-field correction within the dimensional crossover from three to two dimensions as well as three to one dimension. Especially, it is established that such an analysis will also include the behavior of the confinement-induced resonance for dipolar interactions, which is still a topic of current discussions. Finally, one of the main goals in this part is to study topological states of matter realized with polar molecules and/or cold atomic gases with large magnetic moments.We start with a realization of the famous SSH model using polar molecules and study the quantum many-body ground state by preparing the system at half-filling. The bosonic character of the particles plays a significant role and strongly modifies the behavior compared to the original formulation of the SSH model with fermions. Then, we will study the natural extension into quasi-one dimension by coupling several of such chains together, and study their topological properties. Finally, we also work on alternative methods to realize topological states of matter with polar molecules and/or dipolar atomic gases.

在这个项目中，我们研究了具有强磁矩的原子和极性分子的基态性质。主要重点是各向异性偶极-偶极相互作用的设置，这与该合作研究项目中的实验组密切相关。一个重要的方面是冷偶极原子气体中量子液滴的微观描述：虽然在低密度气相中很好地理解了超越平均场校正，但是一旦出现朝向具有更高密度的量子液滴的不稳定性，则超越平均场校正的当前描述拾取了一个小的虚部，该虚部通常在分析中被忽略。因此，在微观分析中推导基态能量是一个开放的和具有挑战性的问题，这在量子液体以及低密度气相中是有效的。第二个重要方面是从三维到二维以及三维到一维的维度交叉内的超出平均场校正的行为。特别是，它是建立这样的分析也将包括约束诱导共振偶极相互作用的行为，这仍然是目前讨论的一个话题。最后，本部分的主要目标之一是研究用极性分子和/或具有大磁矩的冷原子气体实现的物质的拓扑态，我们从用极性分子实现著名的SSH模型开始，通过半填充制备系统来研究量子多体基态。粒子的玻色子性质起着重要的作用，并强烈修改的行为与费米子SSH模型的原始配方相比。然后，我们将研究通过耦合几个这样的链到准一维的自然扩张，并研究它们的拓扑性质。最后，我们还研究了用极性分子和/或偶极原子气体实现物质拓扑态的替代方法。