Stark effect in low-dimension hydrogen

TL;DR

This paper investigates how electric fields affect low-dimensional hydrogen atoms, revealing that the Stark effect is significantly suppressed in reduced dimensions, with analysis explaining this phenomenon through ionization process insights.

Contribution

The study introduces an analytical continuation approach to analyze Stark effects in low-dimensional hydrogen, highlighting the suppression of electric field modifications due to dimensional reduction.

Findings

Electric field effects are strongly suppressed in low-dimensional hydrogen.

Analytical continuation effectively computes Stark shifts and ionization rates.

Ionization processes are explained via a Landau-type analysis.

Abstract

Studies of atomic systems in electric fields are challenging because of the diverging perturbation series. However, physically meaningful Stark shifts and ionization rates can be found by analytical continuation of the series using appropriate branch cut functions. We apply this approach to low-dimensional hydrogen atoms in order to study the effects of reduced dimensionality. We find that modifications by the electric field are strongly suppressed in reduced dimensions. This finding is explained from a Landau-type analysis of the ionization process.