Reviewer #1 (Remarks to the Author): I think the authors did a very thorough job answering the questions and comments from all three referees. My only (tiny) remaining comment is that I would put the clear statement of the probe power P=0.003 P_sat in the main text instead of the SI. This may be perfectly clear to the authors when they write "weak probe", but for a more general audience this clarification would be nice. But independent of what the authors choose on this, I recommend publication of this paper in Nat. Comm. Reviewer #2 (Remarks to the Author): My questions and comments from the first review have been fully addressed in the new version. Now I am happy to recommend the manuscript for publication in Nature Communications. Reviewer #3 (Remarks to the Author): The authors have clarified the points raised in my first review, and I recommend publication.