Focusing on the spin-flip quantum transition, we study the time-dependent phenomena by the oscillating Rashba spin–orbit interaction. An electron is confined by a harmonic potential surrounded by a cylindrical hard-wall in a two-dimensional (2D) quantum dot. The oscillating Rashba external field having a frequency wis applied perpendicular to the 2D plane. The projection and discrete Fourier transform analyses reveal that the interstate transition causes the characteristic spin-flip quantum transition when the Rashba field has a resonant frequency. Particularly in the cylindrical hard-wall confinement, a typical Rabi oscillation results with a spin flipping. The perturbation approach up to the fourth-order terms satisfactorily explains the origin of the oscillating components found in the spin density.
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