We have used interband photoluminescence (PL) spectroscopy to demonstrate the occurrence of an intersubband population inversion in a ${\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{s}/\mathrm{A}\mathrm{l}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{As}$ triple barrier structure containing asymmetric coupled quantum wells. The relative populations of the $n=1$ $(E1)$ and $n=2$ $(E2)$ electron subbands of the wider quantum well (QW1) are deduced from the relative intensities of the PL peaks arising from recombination of the $E1$ and $E2$ electrons. A significant population inversion is obtained between $E2$ and $E1$ when the structure is biased so that $E1$ is in resonance with the $n=1$ ${(E1}^{*})$ level of the narrower quantum well (QW2). The key importance of the interwell resonance in achieving population inversion is confirmed by comparison with PL results from structures in which ${E1\ensuremath{-}E1}^{*}$ alignment does not occur.
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