Quantum mechanical treatment of large spin baths

The electronic spin in quantum dots can be described by central spin models (CSMs) with a very large number Neff≈104 to 106 of bath spins posing a tremendous challenge to theoretical simulations. Here, a fully quantum mechanical theory is developed for the limit Neff→∞ by means of iterated equations...

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Bibliographic Details
Published in:Physical review. B 2018-04, Vol.97 (16), Article 165431
Main Authors: Röhrig, Robin, Schering, Philipp, Gravert, Lars B., Fauseweh, Benedikt, Uhrig, Götz S.
Format: Article
Language:English
Subjects:
Computer simulation
Electron spin
Equations of motion
Quantum dots
Quantum mechanics
Spin dynamics
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Summary:The electronic spin in quantum dots can be described by central spin models (CSMs) with a very large number Neff≈104 to 106 of bath spins posing a tremendous challenge to theoretical simulations. Here, a fully quantum mechanical theory is developed for the limit Neff→∞ by means of iterated equations of motion (iEoM). We find that the CSM can be mapped to a four-dimensional impurity coupled to a noninteracting bosonic bath in this limit. Remarkably, even for infinite bath the CSM does not become completely classical. The data obtained by the proposed iEoM approach are tested successfully against data from other, established approaches. Thus the iEoM mapping extends the set of theoretical tools that can be used to understand the spin dynamics in large CSMs.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.97.165431