Super AMOLED Advanced
We first heard about the "Super AMOLED Advanced" display in October 2011 when Motorola announced their Droid RAZR smartphone - which has a 4.3" Super AMOLED Advanced display featuring qHD (960×540). We are still not sure what does this new display brand means - and what is difference between it and the Super AMOLED and Super AMOLED Plus displays. In some marketing material it is claimed that the Advanced display is 25% more power efficient. This is probably due to the fact that Samsung is using green phosphorescent emitter in this display.
Super AMOLED Advanced use PenTile
Super AMOLED Advanced displays feature a PenTile sub-pixel scheme. PenTile is Samsung's technology that shares sub-pixels between pixels, which allows them to provide higher-resolution displays, although at some quality loss of course (a visible PenTile pattern).
Samsung's Super AMOLED HD displays use PenTile - but they reach higher densities than in Motorola's display - for example the Galaxy Nexus reaches 1280x720 resolution on a 4.65" display. So the density is higher than in the Droid RAZR.
Super AMOLED display family
Samsung currently have four Super AMOLED brands:
Super AMOLED is the original display which added an integrated touch-layer to the classic AMOLED display. This results in a thinner display that behaves much better under sunlight. Super AMOLED uses PenTile technology
Super AMOLED Plus is Samsung's more advanced technology - which ditches the PenTile in favor of the classic RGB Stripe matrix. So while the displays look better, they provide less pixel density compared to Super AMOLED displays.
Super AMOLED HD is the HD version of the Super AMOLED displays - there's no technology difference, but Samsung uses this brand (they sometimes call it HD Super AMOLED) to make sure we know that the resolution is HD (1280x720, or 720p).