Well, no on OpenGL because it is a C compatible API.
As far as DirectX goes, they certainly aren't going to go and change the API all over the place just to include neat language features like lambdas when it isn't necessary. C++11 compilers are still not in common use compared to previous revisions of the standard, so it would be very silly to create an API that only a small portion of developers can use.
There are broad implications to changing your API when thousands/millions of people use it. It would be hugely irresponsible of them to add lambdas to API functions just because they're neat and shiny. On top of that, it's not like you can just go around breaking your API with each new version if you care about people actually using it.
EJDIT:
I misunderstood the question at first. C++11 is so new that there are likely no API changes to existing libraries as of yet because it would severely limit their userbase (there is no fully featured C++11 compiler out at this time as far as I am aware, and even if there were most of us wouldn't be using it yet).
As some of the commenters rightly pointed out, I was too narrow in my initial response. You added that a beta version would be acceptable. I am still unaware of any libraries which have drastically modified their API's to include new features in C++11, and my previous point still stands.
Changing API function signatures is dangerous because you break backward compatibility. If/when these changes do arrive I would expect them to be additions to the API, not modifications. Perhaps someone around here knows of very recent changes to existing libraries that I am unaware of.