  In this work we investigate the quantum nature of bcc $^{4}$He. We show that
it is a solid phase with an Off-Diagonal Long Range Order of coherently
oscillating local electric dipole moments. These dipoles arise from the
correlated zero-point motion of the atoms in the crystal potential, which
oscillate in synchrony so that the dipolar interaction energy is minimized.
This coherent state has a three-component complex order parameter. The
condensation energy of these dipoles in the bcc phase further stabilizes it
over the hcp phase at finite temperatures. This condensation of the dipoles is
not a 'super-solid'. We further show that there can be fermionic excitations of
this ground-state and predict that they form an optic-like branch in the (110)
direction.
