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含非理想反射镜的量子光力学与不同动态极化率原子的卡西米尔-波尔效应:基于微观模型的统一处理

Quantum Optomechanics with Imperfect Mirrors and Casimir-Polder Effect of Atoms with Different Dynamic Polarizabilities: A Unified Treatment via a Microscopic Model

Bergen Dahl, Bei-Lok Hu

arXiv 2608.22098首次发表:更新:

AI 中文总结

本研究发展的原子/反射镜-振子-场(AMOF)微观模型,可统一处理非理想反射镜的量子光力学与原子卡西米尔-波尔效应,经与亚稳态He*原子-金板实验结果对比,拟合度优异,兼具理论合理性与实用价值。

AI 中文摘要

本研究旨在将文献[1]提出并在文献[2,3]中发展的量子光力学(QOM)微观物理模型进一步推进,使其更贴近实际实验条件,特别是针对非理想反射镜和真实材料的情况。原子/反射镜-振子-场(AMOF)模型具有反射镜或原子的内部自由度,该自由度与量子场的相互作用决定了反射镜的传输函数或原子的动态极化率。我们利用该模型研究了三个问题:1)腔场中运动的非理想反射镜,对比AMOF模型与边界条件方法的结果;2)分析由AMOF模型导出的动态极化率在不同频率下与表格数据的拟合程度;3)结合上述两部分,分析稀薄原子空间与壁之间由量子涨落诱导的卡西米尔-波尔能量。我们检验了AMOF模型中内部自由度(idf)振子的三个组成参数与已发表的亚稳态He*原子在金(Au)板附近结果的匹配程度,发现二者吻合度极高。这些例子表明,AMOF模型不仅具有健全的理论结构(因其基于基本组分的微观物理动力学),还具有良好的实用价值(因其能针对某些真实材料产生准确结果)。

英文摘要

This work aims at bringing the microphysics model of quantum optomechanics (QOM) proposed in [1] and developed in [2, 3] one step closer to be applicable to realistic experimental conditions, specifically, for imperfect mirrors, and for real materials. The atom/mirror-oscillator-field (AMOF) model features an internal degree of freedom for a mirror or an atom whose interaction with a quantum field determines the transmission functions of a mirror or the dynamic polarizability of an atom. We study three problems with this model: 1) An imperfect mirror moving in a cavity field, comparing results from the AMOF model with the boundary condition methods; 2) We analyze how well the dynamic polarizability derived from the AMOF model fits the tabulated data at different frequencies. 3) Combining these two parts we analyze the quantum fluctuations induced Casimir-Polder energy between a dilute atom space and a wall. We examine how well we can use the three constituent parameters of the idf oscillator in the AMOF model to match with published results on a meta-stable He* atom near a Au plate and found excellent agreements. These examples show that the AMOF model not only has a sound theoretical structure, because it is based on the microphysics dynamics of the basic constituents, it also has good practical values because it can produce accurate results for certain real materials.

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