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

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Cited by in corpus (16)

• Nonperturbative master equation solution of central spin dephasing dynamics
• Spin polarization through Floquet resonances in a driven central spin model
• Electron-nuclear dynamics in a quantum dot under non-unitary electron control
• Theory of dynamic nuclear polarization and feedback in quantum dots
• Separable and entangled states in the high-spin XX central spin model
• Spin dynamics of a confined electron interacting with magnetic or nuclear spins: A semiclassical approach
• Exact dynamics of the homogeneous two-qubit $XXZ$ central spin model with the spin bath prepared in superpositions of symmetric Dicke states
• A variational method for integrability-breaking Richardson-Gaudin models
• Many-Body Localization: Transitions in Spin Models
• Coherence of an extended central spin model with a coupled spin bath
• Increased coherence time in narrowed bath states in quantum dots
• Temperature crossover of decoherence rates in chaotic and regular bath dynamics
• On the exact solvability of the anisotropic central spin model: An operator approach
• Perturbative regimes in central spin models
• Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings
• The Yang-Baxter paradox