Studies in Quantum Chaology

量子混沌学研究

• 批准号: 9712822
• 负责人: Bala Sundaram
• 金额: $ 2.23万
• 依托单位: CUNY College of Staten Island
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-06-15 至 1998-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9712822&HistoricalAwards=false
• 关键词: Studies; Quantum; Chaology

The notion of chaos and its accompanying consequences have had a profound impact on our view of a number of phenomena in the macroscopic or classical world. However, the extension of these ideas to the microscopic quantum world largely remains a mystery, especially as a correspondence between classical and quantum phenomena is expected to exist. What is established is that exclusively quantum effects are seen in classically chaotic systems, behavior collectively designated as quantum chaology. Two broad classes of `local` and `global` distinguish effects which are, respectively, sensitive and insensitive to details of the classical description. In the proposed work, these issues are considered in the context of a recent atom optics realization of a simple dynamical paradigm. Building on earlier work with these experiments, one objective is to study `local` mechanisms in this experimental context with particular emphasis on contrasting quantum coherence in systems with and without classical chaos. The possibility of a direct assessment makes this a novel realization. This would then provide a well-characterized system to assess the interplay of local and global effects which has broader significance to generic aspects in dynamics and non- equilibrium phenomena.

混乱及其随附后果的概念对我们对宏观或古典世界中许多现象的看法产生了深远的影响。 但是，将这些思想扩展到微观量子世界很大程度上仍然是一个谜，尤其是随着经典现象和量子现象之间存在的对应关系。 确定的是，在经典混乱的系统中只能看到量子效应，这些效应统称为量子融合。 “本地”和“全局”的两个广泛类别分别区分了对经典描述细节的敏感和不敏感的效果。 在拟议的工作中，这些问题是在最新的原子光学实现中实现简单动力学范式的背景下考虑的。 在这些实验的早期工作的基础上，一个目的是在这种实验背景下研究“局部”机制，特别强调有或没有经典混乱的系统中的量子相干性。 直接评估的可能性使这是一种新颖的实现。 然后，这将提供一个良好的系统，以评估局部和全球效应的相互作用，这对动态和非平衡现象的通用方面具有更广泛的意义。