Implementing a topological quantum model using a cavity lattice

TL;DR

This paper proposes a feasible scheme to simulate the Kitaev topological quantum model using a lattice of coupled cavities with three-level atoms, enabling exploration of topological excitations with current technology.

Contribution

It introduces a novel cavity lattice setup for implementing the Kitaev model, facilitating experimental study of topological quantum phenomena.

Findings

Scheme is based on existing technology

Parameters are tunable via external lasers

Provides a practical route to realize the Kitaev model

Abstract

Kitaev model has both Abelian and non-Abelian anyonic excitations. It can act as a starting point for topological quantum computation. However, this model Hamiltonian is difficult to implement in natural condensed matter systems. Here we propose a quantum simulation scheme by constructing the Kitaev model Hamiltonian in a lattice of coupled cavities with embadded $\Lambda$-type three-level atoms. In this scheme, several parameters are tunable, for example, via external laser fields. Importantly, our scheme is based on currently existing technologies and it provides a feasible way of realizing the Kitaev model to explore topological excitations.