Theoretical Studies of Rotating Trapped Atomic Gases

旋转俘获原子气体的理论研究

• 批准号: 0456261
• 负责人: Erich Mueller
• 金额: --
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-06-01 至 2008-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0456261&HistoricalAwards=false
• 关键词: Theoretical; Studies; Rotating; Trapped; Atomic

This proposal describes a theoretical study of the rotational properties of clouds of ultracold atoms.Building on his previous work, the investigator will explore several topical subjects, with the fol-lowing four objectives. (1) He will calculate the topological structures which will form in a rapidlyrotating gases of spin-1 bosons in the presence of magnetic fields. (2) He will determine the kinet-ics of spinning up small clusters of atoms at the nodes of an optical lattice. (3) He will producea practical scheme for creating fields which couple to neutral atoms in the same way that theelectromagnetic fields couple to charged particle. (4) He will study interference between rotatingclouds and demonstrate that an interference experiment can distinguishing condensed and stronglycorrelated rotating states.These projects are motivated by both interest in fundamental physical properties of these coldgases [topics (1), (2), and (4)] and by a desire to produce experimental protocols to create andmeasure exotic states of matter [topics (2), (3), and (4)]. Topic (1) addresses the basic groundstate properties of clouds of rotating atoms. Topic (2) allows the study of fundamental questions ofenergy and entropy transfer in isolated systems, while possibly providing an experimental pathwayto producing analogs of quantum Hall effects. Topic (3) is aimed at producing a valuable tool forexploring vortex physics, quantum Hall effects, the pinning of vortex lattices, and the interplaybetween lattices and quantum Hall effects. Topic (4) studies the basic coherence properties of bothcondensed and correlated states, and provides an experimental strategy for distinguishing thesestates.The investigator will use an array of analytic and computational techniques, related to thoseused in previous projects. These include lowest-Landau-level calculus, field theory, variationalmethods, numerical exact diagonalization, and numerical Monte-Carlo.

该提案描述了一项关于超速原子云的旋转特性的理论研究。在其先前的工作中构建，研究人员将探索几个主题主题，并具有较高的四个目标。 （1）他将计算出在磁场存在下以旋转1玻色子的快速倾斜气体形成的拓扑结构。 （2）他将确定在光学晶格节点上旋转小原子簇的动物。 （3）他将制作实用的方案，以创建将田间融合到中性原子的实用方案，就像electromagnetic Fields夫妇夫妇为带电粒子一样。 （4）他将研究旋转行为之间的干扰，并证明一个干扰实验可以区分凝结和密切相关的旋转状态。这些项目都受到对这些冷速率的基本物理特性的兴趣激励[主题（1），（2），（2）和（4）]，以及产生实验协议以创建和态度的态度（2）（2）（2）（2）（2），（2），2），（2），（2），（2），（2），（2），（2）；主题（1）介绍了旋转原子云的基本地面属性。主题（2）允许研究孤立系统中的基本问题和熵转移的基本问题，同时可能提供实验途径，从而产生量子厅效应的类似物。主题（3）旨在生产一种有价值的工具，可探索涡流物理，量子厅效应，涡旋晶格的固定以及晶格和量子厅效应之间的互动。主题（4）研究了双感应和相关状态的基本相干性能，并提供了区分以下的实验策略。研究人员将使用一系列与先前项目相关的分析和计算技术。这些包括最低的landau级演算，场理论，变异方法，数值精确对角线和数值蒙特卡洛。