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arXiv 2402.01463quant-ph
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从精确电子-核动力学中涌现的分子几何相位

Emergence of the molecular geometric phase from exact electron-nuclear dynamics

Rocco Martinazzo, Irene Burghardt

AI总结:

针对几何相位在精确量子动力学框架下是否存在的争议,通过引入电子与原子核的瞬时规范不变相位监测波包相位差,明确了分子系统中几何相位在干涉过程中的作用与存在性。

摘要:

几何相位在众多领域中发挥着关键作用。在化学领域,当反应路径环绕绝热势能面之间的交叉点,且分子波函数经历量子力学干涉效应时,便会出现几何相位。这一引人关注的效应与磁Aharonov-Bohm效应高度相似,其核心依赖于动力学的绝热描述,目前尚不确定它在精确量子动力学框架中是否存在以及如何存在。近期研究表明几何相位是绝热近似的产物,这对几何相位概念在分子中的实用性提出了质疑。本文在精确动力学框架下研究了这一问题。我们分别为电子和原子核引入了瞬时的、规范不变的相位,并利用它们来监测环绕锥形交叉点的波包后沿之间的相位差。通过这种方式,我们明确评估了几何相位在干涉过程中的作用,并阐明了其在分子系统中的存在性。

英文摘要:

Geometric phases play a crucial role in diverse fields. In chemistry they appear when a reaction path encircles an intersection between adiabatic potential energy surfaces and the molecular wavefunction experiences quantum-mechanical interference effects. This intriguing effect, closely resembling the magnetic Aharonov-Bohm effect, crucially relies on the adiabatic description of the dynamics, and it is uncertain whether and how it persists in an exact quantum dynamical framework. Recent works have shown that the geometric phase is an artifact of the adiabatic approximation, thereby challenging the perceived utility of the geometric phase concept in molecules. Here, we investigate this issue in an exact dynamical framework. We introduce instantaneous, gauge invariant phases separately for the electrons and for the nuclei, and use them to monitor the phase difference between the trailing edges of a wavepacket encircling a conical intersection. In this way we unambiguosly assess the role of the geometric phase in the interference process and shed light on its persistence in molecular systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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