Dark states in an integrable XY central spin model

2025/02/07 by Jaco van Tonder, Jon Links, van Tonder, Jaco +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2502.04651

openalex publication_date 2025/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Eigenstates of central spin models in which the central spin is unentangled with the environment are known as dark states. They have recently been observed in a class of integrable XX models. Here we find that dark states are present in XY models, but only for particular configurations of the central spin magnetic field. We show this via an explicit construction of the Bethe states.

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• Confined and deconfined chaos in classical spin systems
• Explicit conserved operators for a class of integrable bosonic networks from the classical Yang-Baxter equation

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