# Image-charge detection of the Rydberg states of surface electrons on liquid helium

## TL;DR

This paper introduces a novel image-charge detection technique for Rydberg states of surface electrons on liquid helium, enabling high-lying state resolution and potential single-electron quantum state detection for quantum computing applications.

## Contribution

The paper presents a new spectroscopic method that improves resolution of Rydberg states and demonstrates potential for single-electron quantum state detection.

## Key findings

- Successfully demonstrated image-charge detection of Rydberg states
- Resolved transitions to high-lying Rydberg states
- Potential for detecting quantum states of single electrons

## Abstract

We propose and experimentally demonstrate a new spectroscopic method, image-charge detection, for the Rydberg states of surface electrons on liquid helium. The excitation of the Rydberg states of the electrons induces an image current in the circuit to which the electrons are capacitively coupled. In contrast to the conventional microwave absorption measurement, this method makes it possible to resolve the transitions to high-lying Rydberg states of the surface electrons. We also show that this method can potentially be used to detect quantum states of a single electron, which paves a way to utilize the quantum states of the surface electrons on liquid helium for quantum computing.