Electric dipole spin resonance with linear and cubic spin-orbit interaction

We consider the electric dipole spin resonance (EDSR) with using the spin-orbit interaction (SOI) in GaAs and Ge based quantum dots formed in a quantum well. We use Schrieffer-Wolff transformation and rotating frame to derive the effective Hamiltonian of EDSR. We treat the couplings of the orbital motion with the environment with Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation. We found that the cubic SOI makes the Rabi frequency non-linear with the applied microwave amplitude. At the same time, the fidelity of the spin manipulations becomes worse since the residual spin-orbital couplings induces spin relaxation.