Floquet scattering approach to electron transport for a quantum wire under longitudinally polarized electromagnetic field irradiation

We theoretically study the electron transport property for a semiconductor quantum wire irradiated under a longitudinally polarized electromagnetic field within a finite range. We obtain the non-perturbative solutions of the single-electron time-dependent Schrodinger equation both inside and outside the field-irradiated region of the wire according to the Floquet theorem. A general infinite matrix equation which determines the Floquet scattering coefficients is derived straightforwardly through the wavefunction matching scheme at the two interfaces between regions with and without field irradiation. The examples of numerically calculated transmission dependence on the electron incident energy for different field parameters exhibit both Fano and Rabi resonances, and the structure of the transmission is sensitive to the field parameters of amplitude and frequency as well as the irradiation length.