Deepened adverbs are provided in this article. The words listed here are commonly found along with the verb deepened in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb DEEPENED.
considerably, gradually
greatly, rapidly
slowly, steadily
suddenly
Hope this word list had the deepened adverb you were looking for. In addition to adverbs used with deepened, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.