I think it is more than that. A heart beating for someone can happen in a superficial crush, or at least it can for me. I think that love has to go beyond this and have a devotion to someone else, even at the times when they can't "feel" the love.
A deep, tender, ineffable feeling of affection and solicitude toward a person, such as that arising from kinship, recognition of attractive qualities, or a sense of underlying oneness.