I would not consider word embeddings to be state of the art anymore.
Word Embeddings are like TF-IDF when word embeddings came out. Have a look at BERT model that just recently got published and is outperforming all kind if NLP tasks with one main Architecture.
I would consider BERT language model two levels higher than word embeddings, as it considers full context sensitive embeddings, dependent on the text left and right of the word in parallel.