Bodhicitta is the mind for enlightenment (relative bodhicitta) and the mind of enlightenment (absolute bodhicitta). It is both the aspiration to attain enlightenment for the benefit of all, and the perfectly enlightened mind that benefits all sentient beings.
True samadhi, then, is the practice of aligning the mind that aspires to enlightenment with the mind that is already enlightened, our ever-present Buddha Nature.
Reciting the Name, invoking the absolute bodhicitta, is the mind for enlightenment, the relative bodhicitta. The more we practice Buddha recitation, the more we are mindful —we recognize, remember, and manifest— the mind of enlightenment, our Buddha Nature. —TN