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Persisting correlations of a central spin coupled to large spin baths

The decohering environment of a quantum bit is often described by the coupling to a large bath of spins. The quantum bit itself can be seen as a spin S= 1/2 which is commonly called the central spin. The resulting central spin model describes an important mechanism of decoherence. We provide mathema...

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Bibliographic Details
Published in:Physical review. B 2016-09, Vol.94 (9), Article 094308
Main Authors: Seifert, Urban, Bleicker, Philip, Schering, Philipp, Faribault, Alexandre, Uhrig, Götz S.
Format: Article
Language:English
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Summary:The decohering environment of a quantum bit is often described by the coupling to a large bath of spins. The quantum bit itself can be seen as a spin S= 1/2 which is commonly called the central spin. The resulting central spin model describes an important mechanism of decoherence. We provide mathematically rigorous bounds for a persisting magnetization of the central spin in this model with and without magnetic field. In particular, we show that there is a well-defined limit of infinite number of bath spins. Only if the fraction of very weakly coupled bath spins tends to 100% does no magnetization persist.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.94.094308