Spin-orbit couplings between distant electrons trapped individually on liquid helium

TL;DR

This paper proposes a method to entangle distant electron spins on liquid helium by leveraging spin-orbit interactions and Coulomb coupling, enabling quantum information processing between individually trapped electrons.

Contribution

It introduces a novel approach to generate strong spin-spin coupling between distant electrons via orbit-mediated Jaynes-Cummings interactions on liquid helium.

Findings

Demonstrates a feasible scheme for entangling electron spins at a distance.

Shows how to realize Jaynes-Cummings type interactions through Coulomb coupling.

Provides a pathway for quantum computing with electrons on liquid helium.

Abstract

We propose an approach to entangle spins of electrons floating on liquid helium by coherently manipulating their spin-orbit interactions. The configuration consists of single electrons, confined individually on liquid helium by the microelectrodes, moving along the surface as the harmonic oscillators. It has been known that the spin of an electron could be coupled to its orbit (i.e., the vibrational motion) by properly applying a magnetic field. Based on this single electron spin-orbit coupling, here we show that a Jaynes-Cummings (JC) type interaction between the spin of an electron and the orbit of another electron at a distance could be realized via the strong Coulomb interaction between the electrons. Consequently, the proposed JC interaction could be utilized to realize a strong orbit-mediated spin-spin coupling and implement the desirable quantum information processing between the distant electrons trapped individually on liquid helium.