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arXiv:1008.1533 · Physical Review A

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

J. D. Carter, J. D. D. Martin

Published Mar 7, 2011• 38 citations
arXivHTMLPDF

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 $z\ensuremath{\gg}w$, 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.

DOI
10.1103/physreva.83.032902

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The statistical properties of patch electric fields due to a polycrystalline metal surface are calculated. The fluctuations in the electric field scale like 1/z21/{z}^{2}1/z2 when z\ensuremath≫wz\ensuremath{\gg}wz\ensuremath≫w, where zzz is the distance to the surface and www 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.
The present work has explained a long-standing discrepency between theory and experiment: the broadening of the distances at which Rydberg atoms ionize over a metallic surface. The uneven surface potential distribution on a template-stripped gold surface evaporated on mica is measured with Kelvin probe force microscopy. The stray fields generated by the surface potential are calculated. Simulation with C++ and Matlab predicts how stray fields affect the ionization of Rydberg state atoms near a gold surface. The predicted survival probabilities for different n levels and different incident angles provided by the simulations are then compared with experiments, which shows surprisingly good agreement. Although metallic surfaces are approximately ideal equipotentials in the macroscopic world, Rydberg atoms demonstrate the important role stray fields play in the microscopic world.
We demonstrate spatially resolved, coherent excitation of Rydberg atoms on an atom chip. Electromagnetically induced transparency (EIT) is used to investigate the properties of the Rydberg atoms near the gold-coated chip surface. We measure distance-dependent shifts ( ~ 101010 MHz) of the Rydberg energy levels caused by a spatially inhomogeneous electric field. The measured field strength and distance dependence is in agreement with a simple model for the electric field produced by a localized patch of Rb adsorbates deposited on the chip surface during experiments. The EIT resonances remain narrow (<4<4<4 MHz) and the observed widths are independent of atom-surface distance down to  ~ 202020 $\ensuremath{\mu}$m, indicating relatively long lifetime of the Rydberg states. Our results open the way to studies of dipolar physics, collective excitations, quantum metrology, and quantum information processing involving interacting Rydberg excited atoms on atom chips.
The ionization of xenon Rydberg atoms at metallic surfaces is examined. The data show that, when the effects of stray electric ``patch'' fields present on the surface are taken into account, ionization is well described by a simple over-the-barrier model. The patch fields are determined from direct measurements of the potential variations across the target surfaces using Kelvin probe force microscopy. Monte Carlo techniques are used to model the atom-surface interaction. The results confirm the important role that patch fields can play during Rydberg atom-surface interactions and suggest that such interactions can provide a sensitive probe of stray fields at surfaces.
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The behavior of Rydberg atoms near metal surfaces in the presence of an external electric field has been examined theoretically to evaluate their potential use as an experimental probe of electron tunneling processes at surfaces. These ab initio calculations reveal strong hybridization that leads to a shift and broadening of the Rydberg levels that depend sensitively on the atom-surface separation and the strength of the applied electric field. A range of external fields exists, however, for which the Rydberg atoms ionize at sufficiently large atom-surface separations that, even in the presence of image charge attraction, the resulting positive ions can escape the surface and provide an experimentally observable signal. \textcopyright{} 1996 The American Physical Society.
The ionization of xenon Rydberg atoms at metallic surfaces is examined. The data show that, when the effects of stray electric "patch" fields present on the surface are taken into account, ionization is well described by a simple over-the-barrier model. The patch fields are determined from direct measurements of the potential variations across the target surfaces using Kelvin probe force microscopy. Monte Carlo techniques are used to model the atom-surface interaction. The results confirm the important role that patch fields can play during Rydberg atom-surface interactions and suggest that such interactions can provide a sensitive probe of stray fields at surfaces. To demonstrate this, measurements of the threshold conditions required to observe ions resulting from surface ionization are used to estimate how large such stray fields can be. The data show that the stray fields can be sizable, as large as ∼ 10 3 V · cm -1 100 nm from the surface and ∼ 10 V · cm -1 500 nm from the surface, and illustrate the potential of Rydberg atoms for detecting and characterizing surface electric fields. Methods to enhance the surface ionization signal using electrode arrays patterned on a surface are investigated. Simulations show that bias voltages applied to a series of parallel wires comprised of two interleaved comb-shaped electrodes can have a dramatic impact on ion collection efficiency. It is suggested that such a surface can be used to efficiently collect low- n Rydberg atoms ( n [Special characters omitted.] 10). Significant progress towards fabrication of a functioning surface of 1 μm wide wires with 1 μm spacing is documented.