Quantum versus classical hyperfine-induced dynamics in a quantum dot

Abstract

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<τ_c, after which they differ markedly.

6 pages, 1 figure, accepted for publication in the Journal of Applied Physics (ICPS06 conference proceedings); v2: updated references, final published version

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