单分子磁体中的自旋/声子动力学：I. 量子嵌入
Spin/Phonon Dynamics in Single Molecular Magnets: I. quantum embedding
AI总结：
针对单分子磁体等系统中自旋-声子耦合导致的自旋退相问题，提出量子投影/嵌入方案，将耦合整合为少数集体自由度，可通用且低复杂度地模拟自旋弛豫。
摘要：
单分子磁体（SMMs）和金属有机框架（MOFs）因其在量子信息处理、可扩展量子计算方面的潜力，以及更长的寿命与相干时间而受到广泛关注。这类系统的性能限制因素通常是与分子骨架振动运动的相互作用和耦合所导致的自旋退相。本研究提出了一种系统化的投影/嵌入方案，用于分析分子磁体中的自旋-声子动力学。该方案以量子力学方式将所有自旋/声子耦合整合为少数几个集体自由度。利用通过塞曼相互作用的自旋/声子耦合的从头算方法得到的参数，我们将该方法应用于计算单分子量子比特\bce{VOPc(OH)8}的电子自旋弛豫时间，该量子比特具有一个定域在中心钒原子上的单个未配对电子。此外，我们的通用嵌入方案可应用于任何具有任意耦合/相互作用哈密顿量的单分子磁体或量子比特MOF。这一进展为在复杂环境中模拟自旋弛豫提供了关键工具，且显著降低了计算复杂度。
英文摘要：
Single molecular magnets (SMMs) and Metal-Organic Frameworks (MOFs) attract significant interest due to their potential in quantum information processing, scalable quantum computing, and extended lifetimes and coherence times. The limiting factor in these systems is often the spin dephasing caused by interactions and couplings with the vibrational motions of the molecular framework. This work introduces a systematic projection/embedding scheme to analyze spin-phonon dynamics in molecular magnets. This scheme consolidates all spin/phonon couplings into a few collective degrees of freedom. quantum mechanically. Using parameters obtained from ab initio methods for spin/phonon coupling via Zeeman interaction, we apply this approach to compute the electronic spin relaxation times for a single-molecule qubit \ce{VOPc(OH)8}, which features a single unpaired electron localized on the central vanadium atom. However, our general embedding scheme can be applied to any single-molecule magnet or qubit MOF with any coupling/interaction Hamiltonian. This development offers a crucial tool for simulating spin relaxation in complex environments with significantly reduced computational complexity.
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