  Periodically driven systems, which can be described by Floquet theory, have
been proposed to show characteristic behavior that is distinct from static
Hamiltonians. Floquet theory proposes to describe such periodically driven
systems in terms of states that are indexed by a photon number in addition to
the usual Hilbert space of the system. We propose a way to measure directly
this additional Floquet degree of freedom by the measurement of the DC
conductance of a single channel quantum point contact. Specifically, we show
that a single channel wire augmented with a grating structure when irradiated
with microwave radiation can show a DC conductance above the limit of one
conductance quantum set by the Landauer formula. Another interesting feature of
the proposed system is that being non-adiabatic in character, it can be used to
pump a strong gate-voltage dependent photo-current even with linearly polarized
radiation.
