Just to be a little pedantic and to inform those that might not be familiar, LINQ only creates an expression tree when the type of the source object is IQueryable. If the type of the source object is IEnumerable only (such as an in-memory list), it will not create an expression tree and instead will use the Enumerable static class methods passing in the lambdas as delegates (aka function pointers). In the latter case, there is no "code generated", it will directly enumerate the IEnumerable and do things like an "if" statement inside a "foreach" loop in the case of "where", for example.
Also, you don't need a better term than "provider" as that's what they're called. :-) The IQueryable interface includes a property called Provider that returns an IQueryProvider which can operate on an expression tree.