What is Author rank? How does it work?

As defined by Sam Applegate in What is Google Author rank, Google Authorship enables article writers to link their online content to their Google+ profile via rich snippets, which in turn enables Google to credit the authors with the content.

It basically means that when a blogger gains authorship, his/her content is recognized by Google as relevant and share-able so it does affect the SERP rank of the website.

So when you finally have your Google+ account connected to your blogs, what’s the next thing?