Will we ever be able to explain the phenomenon of qualia?

Philosophers such as David Chalmers insist that a physical model of consciousness is incomplete without an explanation of how the mind generates subjective experience. Chalmers further insists that all of our current explanations for experience fall short because there is a disconnect between neural oscillations or the firing of synapses and the feeling of melancholy or bliss. Is it likely that we will bridge this “explanatory gap,” as Chalmers puts it, solely through physical phenomena? I.e; can we ever satisfactorily describe experiences in terms of the physical processes that may or may not produce them? If not, then what would a potential explanation of conscious experience resemble, and in what manner could it be visualized?