  A 1-dimensional model for coherent quantum energy transfer through a complex
of compressible boxes is investigated by numerical integration of the
time-dependent Schr\"odinger equation. Energy is communicated from one box to
the next by the resonant fluctuating Fermi pressure of the electrons in each
box pushing on the walls and doing work on adjacent boxes. Parameters are
chosen similar to the chain molecules of typical light harvesting complexes.
For some parameter choices the system is found to have an instability leading
to self-induced coherent energy transfer transparency.
