对“具有记忆的开放量子动力学统一框架”的评论
Comment on "Unified framework for open quantum dynamics with memory"
AI总结：
本文指出Ivander等人的研究并非首创，其GQME与路径积分关系、矩阵获取过程及Dyck路径分析分别已在SMatPI、TTM及Wang和Cai的先前工作中建立。
摘要：
Ivander、Lindoy和Lee最近的一篇文章[Nature Communications 15, 8087 (2024)]声称发现了与谐振子浴耦合的系统的广义量子主方程（GQME）与路径积分之间的关系。然而，这一关系早在2020年就由Makri在路径积分的小矩阵分解（SMatPI）的背景下建立[J. Chem. Theory and Comput. 16, 4038 (2020)]。该文章在其补充信息（SI）中用于获取各种矩阵的过程，遵循了SMatPI针对替代Trotter排序的分解步骤。约化密度矩阵（RDM）的离散化GQME表达式的核矩阵中不存在端点效应，这是粗糙的GQME离散化的结果，与SI中提出的辅助矩阵的SMatPI分解不一致。这种形式与Cerrillo和Cao的传输张量方法（TTM）[Phys. Rev. Lett. 112, 110401 (2014)]完全相同。此外，该文章的Dyck路径部分完全遵循了Wang和Cai在最近的一篇论文[Communications in Computational Physics 36, 389 (2024)]中开发的图解分析。我们在本评论中对这三个批评进行了详细阐述。
英文摘要：
A recent article by Ivander, Lindoy and Lee [Nature Communications 15, 8087 (2024)] claims to discover the relationship between the generalized quantum master equation (GQME) and the path integral for a system coupled to a harmonic bath. However, this relationship was already established in 2020 by Makri in the context of the small matrix decomposition of the path integral (SMatPI) [J. Chem. Theory and Comput. 16, 4038 (2020)]. The procedure that this article uses in its Supplementary Information (SI) to obtain the various matrices follows the SMatPI decomposition steps for the alternative Trotter ordering. The absence of endpoint effects in the kernel matrices of the discretized GQME expression for the reduced density matrix (RDM) is the consequence of a crude GQME discretization and is not consistent with the SMatPI decomposition of an auxiliary matrix presented in the SI. This form is identical to the transfer tensor method (TTM) of Cerrillo and Cao [Phys. Rev. Lett. 112, 110401 (2014)]. Further, the Dyck path section of this article follows precisely the diagrammatic analysis developed by Wang and Cai in a recent paper [Communications in Computational Physics 36, 389 (2024)]. We elaborate on these three critiques in this Comment.
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。
