Two big things are they do not need "probable cause" and they do not need search warrants. If you jump bail they can use any means necessary to hunt you down. I don't think that really includes violence (unless you resist).
Hmm... And what happens in mistaken identity cases? Suppose someone jumped bail, and suppose for whatever reason, they (incorrectly) thought you were their guy. So they can just break into your house without a warrant? And when it turns out they were wrong, then what? Are they criminally responsible?