The phrase "bear heavily" implies a burden or weight that is difficult to carry or endure. Some antonyms for this phrase could include "lift lightly," "carry easily," "feel weightless," or "move freely." These words convey a sense of freedom, lightness, and ease that is in stark contrast to the heaviness and difficulty of bearing a heavy load. Other antonyms might include "unload," "release," or "let go," which suggest the idea of letting go of a burden altogether. By using these antonyms, we can paint a picture of a world where we are free from the weight of our troubles and can move forward with ease and grace.