Abstract
We review and summarize recent theoretical and experimental work on electron spindynamics in quantum dots and related nanostructures due to hyperfine interaction withsurrounding nuclear spins. This topic is of particular interest with respect to severalproposals for quantum information processing in solid state systems. Specifically, weinvestigate the hyperfine interaction of an electron spin confined in a quantum dot in ans-type conduction band with the nuclear spins in the dot. This interaction is proportionalto the square modulus of the electron wavefunction at the location of each nucleus leadingto an inhomogeneous coupling, i.e. nuclei in different locations are coupled with differentstrengths. In the case of an initially fully polarized nuclear spin system an exact analyticalsolution for the spin dynamics can be found. For not completely polarized nuclei,approximation-free results can only be obtained numerically in sufficiently small systems.We compare these exact results with findings from several approximation strategies.
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