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Single spin state evolution induced by theLandau-Zener-St\"uckelberg-Majorana (LZSM) interference in a Zeeman-spit fourlevel system in a periodically driven double quantum dot is studiedtheoretically by the Floquet stroboscopic method. An interplay betweenspin-conserving and spin-flip tunneling processes with the Electric Dipole SpinResonance (EDSR) that is induced in an individual dot and enhanced by the LZSMmultiple level crossings with the neighboring quantum dot is investigated as afunction of the microwave (MW) frequency, driving amplitude, interdot detuning,and magnetic field. A number of special points in the parameter space areidentified, out of which where all the three features are merged. Under thistriple-crossing resonance condition the interdot tunneling is combined with afast spin evolution in each dot at the EDSR frequency. Harmonics of the EDSRare revealed in the spin-dependent tunneling maps versus variable magneticfield and MW frequency. The results are applicable for both electron and holesystems with strong spin-orbit interaction and may be useful for developing newtime-efficient schemes of the spin control and readout in qubit devices.

Single spin Landau-Zener-St\"uckelberg-Majorana interferometry of Zeeman-split states with strong spin-orbit interaction in a double quantum dot