Quantum Dynamics and Quantum Chaos

量子动力学和量子混沌

• 批准号: 2894416
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2894416
• 关键词: Quantum; Dynamics; Chaos

This project will use pen-on-paper theory and computational methodology to investigate quantum chaotic effects in molecular systems. A system is said to be chaotic if tiny initial changes grow exponentially with time. Ultimately, no quantum system can be chaotic (owing to the uncertainty principle), but in practice many systems behave chaotically at short times when the dynamics can be treated approximately classically. This project will build on recent findings in the Althorpe group in which early-time quantum chaos is shown to be controlled by delocalised quantum objects known as instantons. The project will extend this previous work from simple prototypes to treat realistic multidimensional models, including vibrating molecules in the gas and condensed phase, where the effects of quantum chaos are still unknown and can potentially impact the interpretation of non-linear spectroscopy experiments.

该项目将使用纸笔理论和计算方法来研究分子系统中的量子混沌效应。如果初始微小变化随着时间呈指数级增长，则称系统是混乱的。最终，任何量子系统都不可能是混沌的（由于不确定性原理），但在实践中，当动力学可以近似经典地处理时，许多系统会在短时间内表现出混沌状态。该项目将建立在奥尔索普小组的最新发现的基础上，其中早期量子混沌被证明是由被称为瞬子的离域量子物体控制的。该项目将把之前的工作从简单的原型扩展到处理现实的多维模型，包括气体和凝聚相中的振动分子，其中量子混沌的影响仍然未知，并可能影响非线性光谱实验的解释。