English

Dark states in an integrable XY central spin model

Exactly Solvable and Integrable Systems 2025-06-25 v4 Mathematical Physics math.MP

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.

Cite

@article{arxiv.2502.04651,
  title  = {Dark states in an integrable XY central spin model},
  author = {Jaco van Tonder and Jon Links},
  journal= {arXiv preprint arXiv:2502.04651},
  year   = {2025}
}

Comments

21 pages

R2 v1 2026-06-28T21:35:42.408Z