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

• Main Authors: Dimo, Claude, Faribault, Alexandre
• Format: Journal Article
• Language: English
• Published: 17-12-2021
• Subjects: Physics - Mesoscale and Nanoscale Physics; Physics - Quantum Physics
• DOI: 10.48550/arxiv.2112.09557

Physical Review B, 105 (letters) L121404 (2022) 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.