论文标题

部分可观测时空混沌系统的无模型预测

Interacting electrons and bosons in the doubly screened $G\widetilde{W}$ approximation: A time-linear scaling method for first-principles simulations

论文作者

Pavlyukh, Yaroslav, Perfetto, Enrico, Stefanucci, Gianluca

论文摘要

We augment the time-linear formulation of the Kadanoff-Baym equations for systems of interacting electrons and quantized phonons or photons with the $G\widetilde{W}$ approximation, the Coulomb interaction $\widetilde{W}$ being dynamically screened by both electron-hole pairs {\em and} bosonic particles.我们还展示了如何结合不同的近似值以在动力学中同时包含多个相关效应。 The final outcome is a versatile framework comprising $2^{12}$ distinct diagrammatic methods, each scaling linearly in time and preserving all fundamental conservation laws. The dramatic improvement over current state-of-the-art approximations brought about by $G\widetilde{W}$ is demonstrated in a study of the correlation-induced charge migration of the glycine molecule in an optical cavity.

We augment the time-linear formulation of the Kadanoff-Baym equations for systems of interacting electrons and quantized phonons or photons with the $G\widetilde{W}$ approximation, the Coulomb interaction $\widetilde{W}$ being dynamically screened by both electron-hole pairs {\em and} bosonic particles. We also show how to combine different approximations to include simultaneously multiple correlation effects in the dynamics. The final outcome is a versatile framework comprising $2^{12}$ distinct diagrammatic methods, each scaling linearly in time and preserving all fundamental conservation laws. The dramatic improvement over current state-of-the-art approximations brought about by $G\widetilde{W}$ is demonstrated in a study of the correlation-induced charge migration of the glycine molecule in an optical cavity.

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