Figure 1

Square of the absolute value of the optical matrix element. (a) and (b) Transition from a state in the $1e$ subband to a state in the $2e$ subband, with light polarized along the [001] direction. Solid, dashed, dotted, and dash-dotted curves in each panel correspond to the $1e_b\text{−}2e_a$, $1e_a\text{−}2e_b$, $1e_a\text{−}2e_a$, and $1e_b\text{−}2e_b$ transitions, respectively. (c) and (d) Transition from a state in the $1hh$ subband to a state in the $2e$ subband, with light polarized along the [10] direction. Solid, dashed, dotted, and dash-dotted curves in each panel correspond to the $1h{h}_b\text{−}2e_a$, $1h{h}_a\text{−}2e_b$, $1h{h}_a\text{−}2e_a$, and $1h{h}_b\text{−}2e_b$ transitions, respectively. (a) and (c) are obtained with the partial Hamiltonian ${\widehat{H}}_P$, and (b) and (d) are obtained with the full Hamiltonian $\widehat{H}$.Reuse & Permissions

Figure 2

The same as Fig. 1d, but obtained with the neglect of the BIA term and the ${\widehat{H}}_k^{NR}$ in the full Hamiltonian $\widehat{H}$.Reuse & Permissions

Figure 3

Polarization for ${\mathbf{k}}_{\parallel }$ along the [10] direction. Solid and dotted curves, which are calculated with $\widehat{H}$, are for the $1hh\text{−}2e$ and the $1e\text{−}2e$ transitions, respectively. The corresponding transitions calculated with ${\widehat{H}}_P$ are plotted in dashed and dash-dotted curves.Reuse & Permissions