Because the ConcurrentHashMap (for example) is designed to be used from a concurrent context, you don't need to synchronise it further. In fact, doing so could undermine the optimisations it introduces.
For example, Collections.synchronizedMap(...) represents a way to make a map thread safe, as I understand it, it works essentially by wrapping all the calls within the synchronized keyword. Something like ConcurrentHashMap on the other hand creates synchronized "buckets" across the elements in the collection, causing finer grained concurrency control and therefore giving less lock contention under heavy usage. It may also not lock on reads for example. If you wrap this again with some synchronised access, you could undermine this. Obviously, you have to be careful that all access to the collection is syncrhronised etc which is another advantage of the newer library; you don't have to worry (as much!).
The java.lang.concurrent collections may implement their thread safety via syncrhonised. in which case the language specification guarantees visibility. They may implement things without using locks. I'm not as clear on this, but I assume it the same visibility would be in place here.
If you're seeing what looks like lost updates in your code, it may be that its just a race condition. Something like the ConcurrentHashpMap will give you the most recent value on a read and the write may not have yet been written. It's often a trade off between accuracy and performance.
The point is; java.util.concurrent stuff is meant to do this stuff so I'd be confident that it ensures visibility and use of volatile and/or addition syncrhonisation shouldn't be needed.