Signatures of chaos and tunneling in AC-driven quantum scattering

We study classical and quantum scattering: in periodically driven mesoscopi c electronic devices. The ac-driven square potential well, a prototypical e xample, is shown to be a chaotic scatterer. Quantum transport in the nonlin ear regime of strong driving is investigated in the Floquet framework. In t he deep quantum regime: scattering into and out of bound states of an effec tive potential explains most of the structure in reflection, transmission, and dwell time, controllable via the external driving. For large amplitude and frequency, a single ac-driven quantum well exhibits dynamical tunneling . We identify signatures of the classical phase-space structure in Wigner-f unction representations of propagated wavepackets.