Exactly which amino acids are phosphorylated in higher plants during state transitions?
The protein in question from Arabidopsis has this UniProt entry. In the comments you read: The N-terminus of the protein extends into the stroma where it is involved with adhesion of granal membranes and post-translational modifications; both are believed to mediate the distribution of excitation energy between photosystems I and II. As known PTMs we have (see Sequence Annotations) Threonine-38 and Arginine-36; below you can see known mutations. My guess, though, is that they are a few years behind and so it's better to look at recent work.

Let us then take the PMID 11113141 referred to in the above entry and see the citing papers, e.g., via CiteXplore where I see at least a few relevant references on the topic of LHC phosphorylation. If there were a review, it would be listed there. Apparently, there is also a plant phosphorylation site database PhosPhAt which might help, see PMID 22723801.

In summary, not much is known, lacking even a single review on the subject.