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

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.

4 pages, 3 figures

References in corpus (3)

• Nuclear Spins in Nanostructures
• Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems
• Decoherence induced by an interacting spin environment in the transition from integrability to chaos

Cited by in corpus (6)

• Nonperturbative master equation solution of central spin dephasing dynamics
• Electron-nuclear dynamics in a quantum dot under non-unitary electron control
• Spin dynamics of a confined electron interacting with magnetic or nuclear spins: A semiclassical approach
• A variational method for integrability-breaking Richardson-Gaudin models
• Temperature crossover of decoherence rates in chaotic and regular bath dynamics
• Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings