"Am thick with" is commonly used to express the abundance or density of something. However, there are several antonyms that can be used to convey the opposite meaning of being sparse or lacking. For instance, words like scarce, thin, rare, and meager can be used in conjunction with the word "am" to imply a scarcity of something. Similarly, words like light, empty, vacant, and bare can be used to indicate a lack of density or amount. Using antonyms gives us a better understanding of the context in which the word is being used, thereby providing clarity and precision in communication.