Interaction between hopping and static spins in a discrete network

TL;DR

This paper investigates how a mobile spin interacting with static spins on a discrete network can be effectively modeled as a three-spin chain, enabling quantum tasks like entanglement and state transfer.

Contribution

It introduces a simplified effective model for spin dynamics in small networks with mobile and static spins, revealing potential for quantum information processing.

Findings

Effective three-spin chain description identified

Entanglement generation demonstrated

Quantum state transfer feasible

Abstract

We consider a process where a spin hops across a discrete network and at certain sites couples to static spins. While this setting is implementable in various scenarios (e.g quantum dots or coupled cavities) the physics of such processes is still basically unknown. Here, we take a first step along this line by scrutinizing a two-site and a three-site lattices, each with two static spins. Despite a generally complex dynamics occurs, we show a regime such that the spin dynamics is described by an effective three-spin chain. Tasks such as entanglement generation and quantum state transfer can be achieved accordingly.