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arXiv 1606.04641quant-ph
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极性分子与曲面范德华相互作用的光谱探测

Spectroscopic Probe of the van der Waals Interaction between Polar Molecules and a Curved Surface

Giuseppe Bimonte, Thorsten Emig, Robert L. Jaffe, Mehran Kardar

备注：
8 pages, 2 figures, version accepted for publication in Phys. Rev. A
发表信息：
Phys. Rev. A 94, 022509 (2016)
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摘要：

我们研究了双原子极性分子在温度$T$和亚微米分离条件下，由于其与平缓弯曲的电介质表面的范德华相互作用而引起的转动能级的位移。假定分子处于电子和振动基态，转动度用刚性转子模型描述。我们表明，在这些条件下，延迟效应和表面色散可以忽略不计。能级位移与$T$无关，由偶极子与其在表面上的像的量子态平均经典静电相互作用给出。我们使用静态格林函数的导数展开来表示表面曲率方面的变化。我们认为，曲率引起的线分裂是实验观察到的，而不是由自然线宽和热增宽模糊。

英文摘要：

We study the shift of rotational levels of a diatomic polar molecule due to its van der Waals (vdW) interaction with a gently curved dielectric surface at temperature $T$, and submicron separations. The molecule is assumed to be in its electronic and vibrational ground state, and the rotational degrees are described by a rigid rotor model. We show that under these conditions retardation effects and surface dispersion can be neglected. The level shifts are found to be independent of $T$, and given by the quantum state averaged classical electrostatic interaction of the dipole with its image on the surface. We use a derivative expansion for the static Green's function to express the shifts in terms of surface curvature. We argue that the curvature induced line splitting is experimentally observable, and not obscured by natural line widths and thermal broadening.

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