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静止原子面对旋转表面的兰姆移位

Lamb Shift of a Static Atom Facing a Rotating Surface

César D. Fosco, Fernando C. Lombardo, Francisco D. Mazzitelli

arXiv 2607.01495首次发表:更新:

发表机构

Instituto Balseiro, Centro Atómico Bariloche; Departamento de Física “Juan José Giambiagi”, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires; Instituto de Física de Buenos Aires (IFIBA), CONICET–Universidad de Buenos Aires(巴尔塞罗研究所,巴里洛切原子中心; 布宜诺斯艾利斯大学自然科学学院胡安·何塞·贾姆比亚吉物理系; 布宜诺斯艾利斯物理研究所(IFIBA),阿根廷国家科学研究与技术促进委员会-布宜诺斯艾利斯大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究静止原子附近平面刚体绕法线旋转时兰姆移位的修正,推导出一般公式,发现轨道和自旋贡献,旋转增强或减弱卡西米尔-波尔德相互作用,并产生量子摩擦光谱特征。

AI 中文摘要

我们研究了当附近平面体绕其法线刚性旋转,而原子固定在距离$a$处时,静止原子的兰姆移位如何被修正。我们推导了移位的一般公式,用表面的角多普勒频移反射系数表示,适用于任何轴对称平面材料。将结果展开到角速度$\Omega$的二阶,我们识别出与电磁角动量的轨道和自旋分量相关的两个独立贡献。轨道贡献正比于$(\Omega\rho)^2$,局部再现了以切向速度$\Omega\rho$平移的表面诱导的兰姆移位,而自旋贡献正比于$(a\Omega)^2$,源于光子螺旋度的旋转多普勒频移,即使在旋转轴上仍然存在。我们首先用石墨烯片说明该形式,然后将其应用于有限厚度的Drude和等离子体导体以及掺杂半导体。旋转增强了石墨烯和金属表面的卡西米尔-波尔德相互作用,而削弱了掺杂半导体的相互作用,这取决于载流子等离子体频率是否达到近场尺度$1/a$。在阈值角速度以上,原子能级还会获得有限线宽,提供了量子摩擦的光谱特征。

英文摘要

We study how the Lamb shift of a static atom is modified when a nearby planar body rotates rigidly about its normal while the atom is held at a fixed distance $a$. We derive a general formula for the shift in terms of the angularly Doppler-shifted reflection coefficients of the surface, valid for any axially symmetric planar material. Expanding the result to second order in the angular velocity $Ω$, we identify two independent contributions associated with the orbital and spin components of the electromagnetic angular momentum. The orbital contribution, proportional to $(Ωρ)^2$, reproduces locally the Lamb shift induced by a surface translating at the tangential velocity $Ωρ$, whereas the spin contribution, proportional to $(aΩ)^2$, originates from the rotational Doppler shift of the photon helicity and survives even on the rotation axis. We first illustrate the formalism using a graphene sheet and then apply it to finite-thickness Drude and plasma conductors and to doped semiconductors. Rotation enhances the Casimir-Polder interaction for graphene and metallic surfaces, whereas it weakens it for doped semiconductors, depending on whether the carrier plasma frequency reaches the near-field scale $1/a$. Above a threshold angular velocity, the atomic level also acquires a finite linewidth, providing a spectroscopic signature of quantum friction. Furthermore, rotation induces a novel component of the Casimir-Polder force, which is perpendicular to both the standard normal attraction and the tangential quantum-friction force.

Comments22 pages, 2 figures

Journal refPhys. Rev. A 114, 032823 (2026)

论文原文

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