  The behavior of delta-doped wide quantum well heterostructures in the
presence of intense far-infrared radiation is studied using semiconductor Bloch
equations. A quantum well is designed where one can either obtain a strong
subharmonic (period-doubling) or a strong incommensurate (Hopf) frequency
response by varying the sheet density and field strength. These strong
responses are easily attainable with current quantum well technology and the
field amplitudes and frequencies of the drive are well within the range of the
free electron laser.
