Different types of integrability and their relation to decoherence in central spin models

TL;DR

This paper explores how different types of integrability in central spin models influence decoherence, revealing a transition between integrability types affects decoherence properties, challenging the simple link between integrability and decoherence.

Contribution

It identifies a transition between two types of integrability in central spin models and links this transition to changes in decoherence behavior.

Findings

Transition between Bethe ansatz integrability and commuting operators integrability.

Decoherence is influenced more by the type of integrability than by its presence or absence.

Changing from integrability to nonintegrability affects decoherence properties.

Abstract

We investigate the relation between integrability and decoherence in central spin models with more than one central spin. We show that there is a transition between integrability ensured by the Bethe ansatz and integrability ensured by complete sets of commuting operators. This has a significant impact on the decoherence properties of the system, suggesting that it is not necessarily integrability or nonintegrability which is related to decoherence, but rather its type or a change from integrability to nonintegrability.