Tunneling resonances through periodically driven quantum dots

Periodic driving of quantum dots is analyzed as a basis for developing dynamic switching devices. We study transport through periodically modulated energy levels which are coupled to leads via tunneling coefficients. Utilizing Floquet theory a full analytic solution is found in terms of continued fractions, enabling us to efficiently calculate and analyze the transmission through the quantum dot in relevant parameter regimes. By considering levels at higher energy outside the spectrum of the transmitted particles a resonant switching effects is identified, where a very small oscillating control signal on a weakly connected quantum dot can induce perfect transmission. We also find closed form expressions using Bessel functions in the limit of small tunnel couplings. The results predict and explain resonant tunneling in nano-electronic devices as well as in corresponding setups using magnonic systems, photonic waveguides, or ultra-cold gases in optical lattices.