Quantum Dynamics with Classically Chaotic Limit

具有经典混沌极限的量子动力学

• 批准号: 9412706
• 负责人: Bala Sundaram
• 金额: --
• 依托单位: Texas A&M Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-12-01 至 1995-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9412706&HistoricalAwards=false
• 关键词: Quantum; Dynamics; Classically; Chaotic; Limit

9412706 Sundaram The focal point of this research proposal is the understanding of the use, efficacy and limitations of classical and semi-classical methods in describing the dynamics of strongly coupled quantum systems. Since the strength of the interaction precludes the use of quantum perturbation theory in these systems, non-perturbative intuition is derived from a classical description of the dynamics, which is most often nonintegrable or chaotic. A number of important issues of both practical and formal consequence arise from the quantization of dynamics with a classically chaotic limit. In particular, we propose to investigate 1) the periodic orbit expansion starting from exact expressions of the trace of quantum propagators, the contributions of analytically continued orbits and the possibility of conherence (scarred wave functions) associated with these so-called 'ghost' orbits,2) the effects of noise introduced via parametric fluctuations on de stabilizing scarred wave-functions and 3) scarred wave functions in higher dimensions with specific application to the problems of stabilization of ground state atoms in super-intense laser fields and to the noise spectroscopy in the interaction of Rydberg atoms with microwaves. ***

9412706 Sundaram该研究建议的焦点是对描述强耦合量子系统的动力学的经典和半经典方法的使用，功效和局限性的理解。 由于相互作用的强度排除了这些系统中量子扰动理论的使用，因此非扰动直觉源自对动力学的经典描述，该动力学通常是不可整合或混乱的。 实用和正式后果的许多重要问题是由具有经典混乱的限制的动态量化引起的。 特别是，我们建议研究1）从量子传播器的痕迹的精确表达开始的周期性轨道扩展，分析性持续轨道的贡献以及连接的可能性（斑纹波函数）与这些所谓的“幽灵”轨道相关的噪声，2）通过对稳定的稳定范围的噪声引入的噪声效果以及3个稳定的浪潮引入的浪潮，并施加了3个）。在超高激光场中基态原子稳定的问题以及rydberg原子与微波的相互作用中的噪声光谱。 ***