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对称性破缺光子真空中的多极光-物质哈密顿量

Multipolar Light-Matter Hamiltonians in Symmetry-Breaking Photonic Vacuums

Liu Yang, Jiadu Lin, Qing-Dong Jiang

arXiv 2608.19336首次发表:更新:

AI 中文总结

该研究推导了空间手性和时间手性两种破缺对称性光子真空下的多极光-物质哈密顿量,以腔中类氢原子等为例验证其会引发特征光谱移动,为手性量子电动力学提供了通用描述框架。

AI 中文摘要

我们表明,当光子真空破坏空间反演对称性或时间反演对称性时,传统的多极哈密顿量会发生定性修改。通过明确应用Power-Zienau-Woolley变换,我们推导了两种理想化手性光子环境下的多极哈密顿量:一种是破坏反演对称性的空间手性真空,另一种是破坏时间反演对称性的时间手性真空。在空间手性情形中,该变换会产生破坏反演的自能;在时间手性情形中,它会产生额外的类塞曼能量。我们以腔中的被俘获类氢原子和带电简谐振子作为最小示例,证明这些依赖对称性的项会导致特征性的光谱移动。我们的工作为描述手性量子电动力学中的光-物质相互作用,以及识别其对嵌入腔中的原子、分子和量子材料的依赖对称性效应,提供了通用框架。

英文摘要

We show that the conventional multipolar Hamiltonian is qualitatively modified when the photonic vacuum breaks inversion or time-reversal symmetry. By explicitly applying the Power-Zienau-Woolley transformation, we derive the resulting multipolar Hamiltonians for two idealized chiral photonic environments: a spatial-chiral vacuum, which breaks inversion symmetry, and a temporal-chiral vacuum, which breaks time-reversal symmetry. In the spatial-chiral case, the transformation generates an inversion-breaking self-energy, whereas in the temporal-chiral case it produces an additional Zeeman-like energy. Using a trapped hydrogen-like atom and a charged harmonic oscillator in cavities as minimal examples, we show that these symmetry-dependent terms lead to characteristic spectral shifts. Our work provides a general framework for describing light-matter interactions in chiral quantum electrodynamics and identifying the associated symmetry-dependent effects on cavity-embedded atoms, molecules, and quantum materials.

Comments7 pages, 3 figures, 1 table; Supplemental Material available as an ancillary file

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