  Quantum transport of charge or energy in networks with discrete sites is
central to diverse quantum technologies, from molecular electronics to light
harvesting and quantum opto-mechanical metamaterials. A one dimensional network
can be viewed as waveguide. We show that if such waveguide is hybridised with a
control unit that contains a few sites, then transmission through the waveguide
depends sensitively on the motion of the sites in the control unit. Together,
the hybrid waveguide and its control-unit form a Fano-Anderson chain whose
Born-Oppenheimer surfaces inherit characteristics from both components: A
bandstructure from the waveguide and potential energy steps as a function of
site coordinates from the control-unit. Using time-dependent quantum wave
packets, we reveal conditions under which the hybrid structure becomes
transmissive only if the control unit contains mobile sites that induce
non-adiabatic transitions between the surfaces. Hence, our approach provides
functional synthetic Born-Oppenheimer surfaces for hybrid quantum technologies
combining mechanic and excitonic elements, and has possible applications such
as switching and temperature sensing.
