平衡系统的量子电动力学：一种严格的麦克斯韦正则化泛函理论表述

中文摘要 AI 辅助

本文提出了一种平衡系统量子电动力学的框架，该框架以麦克斯韦方程组为基础，并将其与量子系统的密度泛函理论结构联系起来。通过从纯粹的内部可观测量（如单粒子密度）转向内部与外部量的组合，外部源及其能量被纳入考量。由此产生了一个完全正则化的泛函理论，避免了通常的可表示性问题。借助将系统与辅助无耦合系统相联系的Kohn-Sham构造，紫外截断可以被移除，从而得到完全重整化且非微扰的光与物质描述。有磁场和无磁场情况下的密度泛函理论的正则化形式作为边界情形出现，而涌现的物理图像则重现了宏观麦克斯韦方程组。

英文摘要

A framework for quantum electrodynamics of equilibrium systems is proposed that takes the Maxwell equations as foundational and links them to the structure of density-functional theory for the quantum system. By switching from purely internal observables like the one-particle density to combined internal and external quantities, the external sources and their energy are taken into account. A fully regularized functional theory emerges that avoids the usual representability problems. With the Kohn-Sham construction that links to an auxiliary uncoupled system, the ultra-violet cutoff can be removed and one arrives at a fully renormalized and non-perturbative light-matter description. Regularized forms of density-functional theory with and without magnetic fields appear as boundary cases, while the emergent physical picture reproduces the macroscopic Maxwell equations.

发表机构

• Ludwig-Maximilians-Universität München（慕尼黑大学）
• Oslo Metropolitan University（奥斯陆都市大学）
• Max Planck Institute for the Structure and Dynamics of Matter（马普物质结构与动力学研究所）
• Center for Free-Electron Laser Science（自由电子激光科学中心）
• The Flatiron Institute, Simons Foundation（西蒙斯基金会平顿研究所）

机构由 AI 辅助整理，请以论文原文为准。