Ultrafast Adiabatic Population Transfer in $\mathit{p}$-Doped Semiconductor Quantum Wells

The light-induced adiabatic population transfer of holes from the heavy-hole ( $\mathrm{hh}$) to the light-hole ( $\mathrm{lh}$) band in p-doped semiconductor quantum wells is investigated theoretically. The exact analog to the population-trapped state (PTS) used in atomic and molecular adiabatic population transfer does not exist in a semiconductor due to the continuum of transition energies and the dynamic light-induced shifts thereof. However, it is found that the population transfer only requires an approximate PTS condition to be fulfilled. As for a possible observation of the effect, the transient creation of a $\mathrm{hh}$ exciton resonance at the expense of the $\mathrm{lh}$ exciton is predicted.