改进量子开放系统模拟方法，提升大系统长时模拟精度与效率
Spectral Densities, Structured Noise and Ensemble Averaging within Open Quantum Dynamics
- 提出新平均策略，改善热化NISE的长期行为
- 实现任意结构谱密度下的噪声生成，支持复杂环境建模
- 适用于分子动力学中吸收光谱与布居演化计算
尽管数值精确模拟开放量子系统的进展显著，但其应用仍受限于小系统。因此，更具计算效率的近似方法仍具重要价值，可实现大系统在更长时间尺度上的模拟。本文针对数值积分薛定谔方程（NISE）方法提出三项改进：首先，引入优化的集合平均过程，提升热化版NISE的长期稳定性；其次，提出一种通用算法以生成任意结构化的噪声，用于处理高度结构化的谱密度，该算法亦可用于从激发态计算中提取谱密度，指导分子动力学或量子力学/分子力学轨迹分析；最后，验证了该方法在计算吸收光谱和布居动力学中的有效性，并通过所提改进展示了其实际应用潜力。
原文摘要 · Abstract (English)
Although recent advances in simulating open quantum systems have lead to significant progress, the applicability of numerically exact methods is still restricted to rather small systems. Hence, more approximate methods remain relevant due to their computational efficiency, enabling simulations of larger systems over extended timescales. In this study, we present advances for one such method, namely the Numerical Integration of Schrödinger Equation (NISE). Firstly, we introduce a modified ensemble-averaging procedure that improves the long-time behavior of the thermalized variant of the NISE scheme, termed Thermalized NISE. Secondly, we demonstrate how to use the NISE in conjunction with (highly) structured spectral densities by utilizing a noise generating algorithm for arbitrary structured noise. This algorithm also serves as a tool for establishing best practices in determining spectral densities from excited state calculations along molecular dynamics or quantum mechanics/molecular mechanics trajectories. Finally, we assess the ability of the NISE approach to calculate absorption spectra and demonstrate the utility of the proposed modifications by determining population dynamics.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品；中文卡片由大模型生成，请以原文为准。