Numerical simulation of the dynamics of the spin of an electron and polarized nuclei at a quantum dot

Abstract

The dynamics of the spin of a localized electron at a hyperfine interaction with a large number of initially polarized nuclei with an inhomogeneous coupling constant has been calculated by the diagonalization method. In the absence of an external magnetic field, the decoherence of the spin at large times is incomplete in view of a finite number of nuclei. The asymptotic behavior of the amplitude of vibrations is in agreement with a previously reported analytical expression.