Quantum Coherences, Fluctuations and Chaos

* 9800966孙达拉姆在经典动力学的宏观世界中，混沌指的是对起始或初始条件的极端敏感性。 当混沌占主导地位时，会产生重要的后果，例如所有不同解决方案的可能性相等。 这些，反过来，重新审视了我们对自然统计理论长期行为的理解中许多未回答的问题。 即使是这种简单的混沌观也不能很好地推广到微观或量子世界，因为微观或量子世界是由波动效应主导的。 干涉和衍射效应抑制了对初始条件的经典敏感性，并导致优选配置。 这些效应统称为量子混沌，包括即使在经典描述中也存在非均匀性的特征。 一般来说，混乱和规则或稳定的区域共存，这种“混合空间”动力学的量子后果知之甚少。 这一制度也与最近在各种新的背景下进行的不寻常的实验有关。 拟议的研究继续与正在进行的工作的混合空间量子相干的特性，以及详细分析其鲁棒性的环境噪声。 数值和分析相结合的方法专门针对原子光学作为实验测试床的调查结果。 预计这些发现将有助于澄清经典和量子描述可以协调的条件。

***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.***