Jaynes-Cummings Models with trapped surface-state electrons in THz cavities

TL;DR

This paper proposes a method to realize Jaynes-Cummings models using trapped surface-state electrons in THz cavities, enabling quantum state preparation and strong coupling in a novel solid-state system.

Contribution

It introduces a new approach to implement Jaynes-Cummings models with electrons on liquid Helium in THz cavities, including driven models for quantum state engineering.

Findings

Strong coupling between electron and cavity achieved

Quantum states like coherent and Schrödinger cat states can be prepared

Numerical simulations confirm feasibility with typical parameters

Abstract

An electron floating on the liquid Helium is proposed to be trapped (by a micro-electrode set below the liquid Helium) in a high finesse cavity. Two lowest levels of the vertical motion of the electron acts as a two-level "atom", which could resonantly interact with the THz cavity. In the Lamb-Dicke regime, wherein the electron's in-plane activity region is much smaller than the wavelength of the cavity mode, the famous Jaynes-Cummings model (JCM) could be realized. By applying an additional external classical laser beam to the electron, a driven JCM could also be implemented. With such a driven JCM certain quantum states, e.g., coherent states and the Schrodinger cat states, of the THz cavity field could be prepared by one-step evolution. The numerical results show that, for the typical parameters of the cavity and electron on liquid Helium, a strong coupling between the artificial atom and the THz cavity could be obtained.