Polarization-dependent spectral redshifts at $\nu =1\mathrm{}$ and $\nu =2\mathrm{}$ in a GaAs quantum well in high magnetic fields up to 60 T

Polarized magnetophotoluminescence measurements performed on a wide parabolic $\mathrm{GaAs}/{\mathrm{Al}}_{0.2}{\mathrm{Ga}}_{0.8}\mathrm{As}$ quantum well reveal the presence of spectral redshifts in the energy at filling factors $\nu =1\mathrm{}$ and 2. The magnitude of these redshifts depends on the polarization and filling factor. While the values for the case of the ${\sigma }^{-}$ polarization agree with existing theories, the results for the ${\sigma }^{+}$ polarizations are less understood.