Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion

TL;DR

This paper proposes a scheme using a single trapped ion to study the quench dynamics of topological bound states via quantum walks, enabling exploration of topological phases and boundary phenomena.

Contribution

It introduces a novel method to realize quantum walks with trapped ions, allowing detailed investigation of bound state dynamics and topological phase characterization.

Findings

Demonstrates a feasible scheme for quantum walk with trapped ions

Enables study of bound state quench dynamics through tunable parameters

Provides a new approach to identify topological phases via dynamics

Abstract

The quantum walk (QW), as the quantum analog of classical random walk, provides a feasible platform to study the topological phenomenon and non-equilibrium dynamics. Here, we propose a novel scheme to realize the quantum walk with a single trapped ion where the Fock states provides the walk space and zero phonon state $\left|n=0\right\rangle $ serves as its natural boundary. Thus, our scheme offers the unique opportunity to investigate the dynamics of the bound states of the corresponding topological systems. Particularly, the quench dynamics of the bound states can be extensively studied by tuning the bulk parameters and the local boundary operator, which are experimentally accessible. Our proposal not only offers a new approach to exploring the character of the bound states of the topological systems, but also offers a way to determine different phases through the dynamical processes.