Quantum Nonequilibrium Dynamics

量子非平衡动力学

• 批准号: 1019197
• 负责人: Maxim Olchanyi
• 金额: $ 21万
• 依托单位: University of Massachusetts Boston
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-09-01 至 2013-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1019197&HistoricalAwards=false
• 关键词: Quantum; Nonequilibrium; Dynamics

Intellectual Merit: The central theme of this project is the memory of the initial state in quantum systems in between order and chaos. While this question is immensely complicated in classical systems, it turns out to be possible to identify a limited class of quantum systems for which relatively simple quantitative predictions can be made. This project is devoted to worked examples. The first of them is two atoms in a guide. The second consists of five two-dimensional strongly interacting atoms on a lattice. The third is a two-component mixture of atoms in two coupled traps. In all three cases, the group will be testing a simple formula that relates the values of observables after relaxation from an initial excited state to their initial values. Broader impact: Interdisciplinary by nature, the project lies on the interface between Atomic,Many-Body, and Mathematical Physics, Nonlinear Science, and Complex Systems. It will provide analytical and numerical experience for undergraduate and graduate students at the University of Massachusetts Boston. The PI will also work on an undergraduate-oriented book [Quantum Mechanics by order of magnitude, World Scientific, c. 2010] devoted to qualitative methods, a set of skills used by many and taught nowhere.

智力优点：该项目的中心主题是量子系统在有序与混沌之间的初始状态的记忆。虽然这个问题在经典系统中非常复杂，但事实证明，可以识别有限类别的量子系统，并对其进行相对简单的定量预测。该项目致力于提供工作示例。第一个是引导中的两个原子。第二个由晶格上五个二维强相互作用原子组成。第三种是两个耦合陷阱中原子的双组分混合物。 在所有这三种情况下，该小组将测试一个简单的公式，该公式将弛豫后从初始激发态到其初始值的可观测值联系起来。更广泛的影响：该项目本质上是跨学科的，它位于原子、多体和数学物理、非线性科学和复杂系统之间的接口。它将为马萨诸塞大学波士顿分校的本科生和研究生提供分析和数值经验。 PI 还将编写一本面向本科生的书籍 [按数量级排列的量子力学，世界科学，c. 2010]致力于定性方法，这是一套被许多人使用但无处教授的技能。