Energy shifts of Rydberg atoms due to patch fields near metal surfaces

TL;DR

This paper models the statistical properties of patch electric fields near metal surfaces and their impact on Rydberg atom energy shifts, revealing that surface inhomogeneities cause significant inhomogeneous broadening.

Contribution

It provides a theoretical framework for calculating electric field fluctuations from patch potentials and their effects on Rydberg atom energy levels.

Findings

Patch field fluctuations scale as 1/z^2 for large z

Field fluctuations are comparable to the image charge field for gold surfaces

Spatial variations over Rydberg orbit are negligible

Abstract

The statistical properties of patch electric fields due to a polycrystalline metal surface are calculated. The fluctuations in the electric field scale like 1/z^2, when z >> w, where z is the distance to the surface, and w is the characteristic length scale of the surface patches. For typical thermally evaporated gold surfaces these field fluctuations are comparable to the image field of an elementary charge, and scale in the same way with distance to the surface. Expressions for calculating the statistics of the inhomogeneous broadening of Rydberg atom energies due to patch electric fields are presented. Spatial variations in the patch fields over the Rydberg orbit are found to be insignificant.