Digital Quantum Simulation of the Holstein Model in Trapped Ions

TL;DR

This paper presents a digital quantum simulation approach for the Holstein model using trapped ions, analyzing fidelity, proposing a stepwise implementation, and demonstrating measurement techniques for polaron size.

Contribution

It introduces a novel digital simulation protocol for the Holstein model in trapped ions, including a detailed implementation scheme and fidelity analysis.

Findings

Simulation fidelity depends on phononic excitations.

Proposed stepwise implementation is feasible with realistic gates.

Measurement methods for polaron size are demonstrated.

Abstract

We propose the implementation of the Holstein model by means of digital methods in a linear chain of trapped ions. We show how the simulation fidelity scales with the generation of phononic excitations. We propose a decomposition and a stepwise trapped-ion implementation of the Holstein Hamiltonian. Via numerical simulations, we study how the protocol is affected by realistic gates. Finally, we show how measurements of the size of the simulated polaron can be performed.