Generalized quantum master equation from memory kernel coupling theory

• URL: http://arxiv.org/abs/2603.01458v1
• Date: Mon, 02 Mar 2026 05:16:45 GMT
• Title: Generalized quantum master equation from memory kernel coupling theory
• Authors: Rui-Hao Bi, Wei Liu, Wenjie Dou,
• Abstract summary: We introduce a comprehensive tensorial extension to the Memory Kernel Coupling Theory (MKCT) to overcome this bottleneck.<n>We demonstrate the numerical accuracy and efficiency of this method across multiple benchmark systems.<n>These successful applications establish the tensorial MKCT as a highly efficient tool for investigating complex dynamics in open quantum systems.
• Score: 3.5945684983210264
• License: http://creativecommons.org/licenses/by/4.0/
• 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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