String breaking dynamics in Ising chain with local vibrations

TL;DR

This paper investigates how local vibrations influence string breaking dynamics in a one-dimensional quantum Ising model, drawing parallels with quantum chromodynamics and exploring different coupling regimes.

Contribution

It introduces a model incorporating local phononic modes into the quantum Ising chain to study string breaking, a phenomenon traditionally examined in QCD.

Findings

Weak coupling slows down string breaking.

Strong coupling causes complex, multi-state dynamics.

Vibrations significantly alter string breaking behavior.

Abstract

We consider the dynamics in the one-dimensional quantum Ising model in which each spin coherently interacts with its phononic mode. The model is motivated by quantum simulators based on Rydberg atoms in tweezers or trapped ions. The configuration of two domain walls simulates the particle-antiparticle connecting string. We concentrate on the effect the local vibrations have on the dynamics of this initial state. Our study supplements recent investigations of string breaking, traditionally studied within quantum chromodynamics (QCD), to quantum many-body systems. Two regimes are identified depending on the strength of the coupling with local vibrations. For weak coupling, the string breaking is slowed down as compared to the dynamics in an isolated Ising string. The strong coupling leads to complicated dynamics in which the domain wall character of excitation is dissolved among many coupled states.