We consider a generic polytype double-quantum-well structure where it
is possible to achieve a resonance between a spatially direct exciton
(both the electron and hole are confined in the same well) and a spati
ally indirect exciton that has the hole in the same Valence subband, b
ut the electron localized in the other quantum well. Since the two exc
itons are coupled through electron tunneling, the true excitonic eigen
states are direct-indirect hybrids. We have calculated the nonlinear o
ptical susceptibility of such a system, including both charge-transfer
and many-body effects. We have applied our model to the polytype AlSb
/InAs/AlSb/GaSb/AlSb structure. The hybrid excitons show enhanced opti
cal nonlinearities because of the charge-transfer character of the ind
irect exciton and the large oscillator strength of the direct one.