Effect of coherent-light phase on tunneling process

The coherent-light-driven tunneling in double quantum wells has been studied. The electrons are coupled to a system of phonons and subjected to the two beams of coherently optical waves. By adopting a gauge to both the external field and the phonon field, the phonon field operators in the Schrodinger equations are eliminated. In this way, an expression of the tunneling current is conveniently derived considering the relaxation effect. It is shown that under the intense laser field, the tunneling current oscillates rapidly with time at low temperature. The duration of the oscillations is related to the temperature. By adjusting the phase difference of the two light-beams, the oscillation frequency can be modulated.