Strong-coupling emergence of dark states in XX central spin models

Abstract

It was recently shown that the XX central spin model is integrable in the presence of a magnetic field perpendicular to the plane in which the coupling exists. A large number of its eigenstates are such that the central spin is not correlated to the environmental spins it is coupled to. In this work, we first demonstrate that the XX-central spin model remains integrable in the presence of an arbitrarily oriented magnetic field. We then show that, provided the coupling is strong enough, dark states can actually be found even in the presence of an in-plane magnetic field. We finally provide a simple explanation of this result and demonstrate its universality for a variety of distinct distributions of the coupling of the central spin to the various bath spins.

arXiv comment5 pages, 3 figures

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Cited by in corpus (5)

• Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers
• Integrability and quench dynamics in the spin-1 central spin XX model
• Integrability, multifractality, and two-photon dynamics in disordered Tavis-Cummings models
• Dark states in an integrable XY central spin model
• The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz