Quantum Coherences, Fluctuations and Chaos

量子相干性、波动和混沌

基本信息

批准号：
9800966
负责人：
Bala Sundaram
金额：
$ 9.45万
依托单位：
CUNY College of Staten Island
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
1998
资助国家：
美国
起止时间：
1998-07-01 至 2002-06-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=9800966&HistoricalAwards=false
关键词：
Quantum Coherences Fluctuations Chaos

项目摘要

***9800966Sundaram In the macroscopic world of classical dynamics, chaos refers to an extreme sensitivity to the starting or initial condition. When chaos is dominant important consequences, such as the equal likelihood of all distinct solutions, result. These, in turn, revisit many unanswered questions in our understanding of the long-time behavior of statistical theories of nature. Even this simple view of chaos does not carry over well to the microscopic or quantum world, which is dominated by wave effects. Interference and diffraction effects suppress the classical sensitivity to initial conditions and result in preferred configurations. Collectively referred to as quantum chaos, these effects multiply on including the feature that non-uniformities exist even in the classical description. In general, chaotic and regular or stable regions coexist and the quantum consequences of this `mixed space' dynamics are poorly understood. This regime is also pertinent to a recent, and unusual, confluence of experiments in a variety of novel contexts. The proposed study continues with ongoing work on the characterization of the mixed space quantum coherences as well as a detailed analysis of their robustness to environmental noise. The combination numerical and analytic method specifically targets atom optics as the experimental test bed for the findings. It is anticipated that the findings will help clarify the conditions under which the classical and quantum descriptions can be reconciled.***

*** 9800966sundaram在古典动力学的宏观世界中，混乱是指对起始或初始条件的极端敏感性。当混乱是主要的重要后果时，例如所有不同解决方案的同等可能性。反过来，这些反过来回顾了我们对自然统计理论的长时间行为的理解。即使是这种混乱的简单视图也无法很好地传播到由波浪效应主导的微观或量子世界。干扰和衍射效应抑制了对初始条件的经典敏感性，并导致首选配置。这些效果统称为量子混乱，即使在经典描述中也存在非均匀性的特征。通常，混乱，常规或稳定区域并存以及这种“混合空间”动力学的量子后果知之甚少。这种制度也与在各种新颖背景下实验的最新且不寻常的融合有关。拟议的研究继续进行了关于混合空间量子相干的表征以及对它们对环境噪声的鲁棒性的详细分析的持续工作。组合数值和分析方法将原子光学特定为发现的实验测试床。预计这些发现将有助于阐明可以调和古典和量子描述的条件。***