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Quantum versus classical hyperfine-induced dynamics in a quantum dot

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4 Author(s)
Coish, W.A. ; Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland ; Loss, Daniel ; Yuzbashyan, E.A. ; Altshuler, B.L.

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In this article we analyze spin dynamics for electrons confined to semiconductor quantum dots due to the contact hyperfine interaction. We compare mean-field (classical) evolution of an electron spin in the presence of a nuclear field with the exact quantum evolution for the special case of uniform hyperfine coupling constants. We find that (in this special case) the zero-magnetic-field dynamics due to the mean-field approximation and quantum evolution are similar. However, in a finite magnetic field, the quantum and classical solutions agree only up to a certain time scale t≪τc, after which they differ markedly.

Published in:

Journal of Applied Physics  (Volume:101 ,  Issue: 8 )