Place sweet potatoes and apple juice in a 3-quart pot over high heat. Bring to a boil, reduce the heat slightly, and simmer until sweet potatoes are fork tender and almost all the apple juice evaporates, about 30 to 35 minutes. Transfer the mixture from the pot to a blender or food processor, along with all remaining ingredients, and puree until smooth. Cover and refrigerate.
Note: The sweet potatoes should be the light orange variety, rather than the light yellow kind.