Infinite coherence time of edge spins in finite-length chains

Motivated by the recent observation that exponentially long coherence times can be achieved for edge spins in models with strong zero modes, we study the impact of level crossings in finite-length spin chains on the dynamics of the edge spins. Focusing on the XY spin-1/2 chain with a transverse or l...

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Published in:Physical review. B 2018-02, Vol.97 (6), Article 064424
Main Authors: Maceira, Ivo A., Mila, Frédéric
Format: Article
Language:English
Subjects:
Adatoms
Chains
Level crossings
Magnetic fields
Spin dynamics
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description Motivated by the recent observation that exponentially long coherence times can be achieved for edge spins in models with strong zero modes, we study the impact of level crossings in finite-length spin chains on the dynamics of the edge spins. Focusing on the XY spin-1/2 chain with a transverse or longitudinal magnetic field, two models relevant to understanding recent experimental results on cobalt adatoms, we show that the edge spins can remain coherent for an infinite time even for a finite-length chain if the magnetic field is tuned to a value at which there is a level crossing. Furthermore, we show that the edge spins remain coherent for any initial state for the integrable case of a transverse field because all states have level crossings at the same value of the field, while the coherence time is increasingly large for lower temperatures in the case of a longitudinal field, which is nonintegrable.
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subjects Adatoms
Chains
Level crossings
Magnetic fields
Spin dynamics
title Infinite coherence time of edge spins in finite-length chains
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