Studies in Quantum Chaology

混沌的概念及其伴随的后果对我们对宏观或经典世界中许多现象的看法产生了深远的影响。 然而，将这些想法扩展到微观量子世界在很大程度上仍然是一个谜，特别是当经典和量子现象之间存在对应关系时。 已经确定的是，在经典混沌系统中只看到量子效应，这些行为统称为量子混沌学。 两大类“局部”和“全局"效应分别对经典描述的细节敏感和不敏感。 在拟议的工作中，这些问题被认为是在最近的原子光学实现一个简单的动力学范式的背景下。 在这些实验的早期工作的基础上，一个目标是在这个实验背景下研究“局部”机制，特别强调对比有和没有经典混沌的系统中的量子相干性。 直接评估的可能性使这成为一种新的认识。 这将提供一个特征明确的系统，以评估局部和全球效应的相互作用，这对动力学和非平衡现象的一般方面具有更广泛的意义。

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.