非绝热亚几何相及其在量子跃迁中的应用

IF 1.5 4区物理与天体物理 Q3 OPTICS The European Physical Journal D Pub Date : 2025-04-11 DOI:10.1140/epjd/s10053-025-00986-z

Zheng-Chuan Wang

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引用次数: 0

摘要

基于为密度矩阵提出的绝热亚几何相（Wang in Sci. Rep. 9: 13258, 2019），我们进一步将其扩展到非绝热情况。研究发现，亚几何相的实部和虚部都能在量子跃迁中发挥重要作用。亚几何相的虚部可以偏离量子跃迁中的共振峰，并对水平跨越带来修正；而亚几何相的实部将根据线性稳定性分析理论决定初始状态的稳定性，这可以看作是对量子跃迁选择规则的某种补充。最后，我们用两个例子来说明：一个是随时间变化的扰动系统，另一个是两级系统。我们提出了一种新的密度矩阵非绝热情况下的亚几何相，可用于探索量子跃迁。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The non-adiabatic sub-geometric phase and its application on quantum transition

Based on the adiabatic sub-geometric phase proposed for density matrix (Wang in Sci. Rep. 9: 13258, 2019), we further extend it to the non-adiabatic case. It is found that both the real and imaginary parts of the sub-geometric phase can play an important role in quantum transition. The imaginary part of sub-geometric phase can deviate the resonance peak in the quantum transition, and bring modification on the level crossing, while the real part of sub-geometric phase will determine the stability of initial state according to the linear stability analysis theory, which can be regarded as somewhat complement to the selection rule of quantum transition. Finally, we illustrate them by two examples: one is the system with time-dependent perturbation, another is a two-level system. It indicates that both the real and imaginary parts of sub-geometric phase have influences on the quantum transition.

Graphical abstract

We proposed a new sub-geometric phase in the non-adiabatic case for density matrix, which can be used to explore the quantum transition.

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来源期刊

The European Physical Journal D 物理-物理：原子、分子和化学物理

CiteScore

3.10

自引率

11.10%

发文量

213

审稿时长

3 months

期刊介绍： The European Physical Journal D (EPJ D) presents new and original research results in: Atomic Physics; Molecular Physics and Chemical Physics; Atomic and Molecular Collisions; Clusters and Nanostructures; Plasma Physics; Laser Cooling and Quantum Gas; Nonlinear Dynamics; Optical Physics; Quantum Optics and Quantum Information; Ultraintense and Ultrashort Laser Fields. The range of topics covered in these areas is extensive, from Molecular Interaction and Reactivity to Spectroscopy and Thermodynamics of Clusters, from Atomic Optics to Bose-Einstein Condensation to Femtochemistry.