Non-Markovian Dynamics of a Localized Electron Spin Due to the Hyperfine Interaction |
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Authors: | W A Coish Daniel Loss |
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Institution: | (1) University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland |
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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, nonexponential 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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Keywords: | ESR hyperfine interaction nuclear spins quantum computing quantum dots spin-echo spintronics |
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