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Quantum Simulation

Quantum mechanical treatment of large spin baths

arXiv
Authors: Robin Röhrig, Philipp Schering, Lars B. Gravert, Benedikt Fauseweh, Götz S. Uhrig

Year

2017

Paper ID

24930

Status

Preprint

Abstract Read

~2 min

Abstract Words

130

Citations

N/A

Abstract

The electronic spin in quantum dots can be described by central spin models (CSMs) with a very large number Neff approx 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 → infty by means of iterated equations of motion (iEoM). We find that the CSM can be mapped to a four-dimensional impurity coupled to a non-interacting 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 is tested successfully against data from other, established approaches. Thus, the iEoM mapping extends the set of theoretical tools which can be used to understand the spin dynamics in large CSMs.

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  • The electronic spin in quantum dots can be described by central spin models (CSMs) with a very large number Neff approx 10^4 to 10^6 of bath spins posing a tremendous challenge...

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