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arXiv · 2603.01458

Generalized quantum master equation from memory kernel coupling theory

Rui-Hao Bi·Wei Liu·Wenjie Dou
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Abstract

The generalized quantum master equation provides a powerful framework for non-Markovian dynamics of open quantum systems. However, the accurate and efficient evaluation of the memory kernel remains a challenge. In this work, we introduce a comprehensive tensorial extension to the Memory Kernel Coupling Theory (MKCT) to overcome this bottleneck. By elevating the original scalar formalism to a tensorial framework, the extended MKCT enables the calculation of general expectation values and cross-correlation functions. We demonstrate the numerical accuracy and efficiency of this method across multiple benchmark systems: capturing transient populations and coherences in the spin-boson model, resolving the excitonic absorption spectrum of the Fenna-Matthews-Olson complex, and simulating charge mobility in one-dimensional lattice models. These successful applications establish the tensorial MKCT as a highly efficient tool for investigating complex dynamics in open quantum systems.

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Rui-Hao Bi, Wei Liu, Wenjie Dou. 2026-03-02. Generalized quantum master equation from memory kernel coupling theory. https://doi.org/10.1021/acs.jctc.6c00386

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