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

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 en...

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Main Authors: Dimo, Claude, Faribault, Alexandre
Format: Journal Article
Language:English
Published: 17-12-2021
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Abstract 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.
AbstractList 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.
Author Faribault, Alexandre
Dimo, Claude
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BackLink https://doi.org/10.48550/arXiv.2112.09557$$DView paper in arXiv
https://doi.org/10.1103/PhysRevB.105.L121404$$DView published paper (Access to full text may be restricted)
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Snippet 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...
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Physics - Quantum Physics
Title Strong-coupling emergence of dark states in XX central spin models
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