A giant anti-Stokes photoluminescence is observed at low excitation densiti
es on specially designed semimagnetic II-VI asymmetric double quantum well
structures by applying an external magnetic field. The signal is due to a t
wo-step absorption process, mediated by a long-living spatially indirect ex
citon, created via rapid electron tunneling from the primarily excited dire
ct exciton state. [S0161-1829(99)52748-3].