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Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction

W. A. Coish·Daniel Loss
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Abstract

We review our theoretical work on the dynamics of a localized electron spin interacting with an environment of nuclear spins. Our perturbative calculation is valid for arbitrary polarization p of the nuclear spin system and arbitrary nuclear spin I in a sufficiently large magnetic field. In general, the electron spin shows rich dynamics, described by a sum of contributions with exponential decay, non-exponential decay, and undamped oscillations. We have found an abrupt crossover in the long-time spin dynamics at a critical shape and dimensionality of the electron envelope wave function. We conclude with a discussion of our proposed scheme to measure the relevant dynamics using a standard spin-echo technique.

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W. A. Coish, Daniel Loss. 2004-11-28. Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction. https://doi.org/10.1007/s10751-005-9039-x

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