Spin-squeezed atomic crystal

We propose a method to obtain a regular arrangement of two-level atoms in a three-dimensional optical lattice with unit filling, where all the atoms share internal state coherence and metrologically useful quantum correlations. Such a spin-squeezed atomic crystal is obtained by adiabatically raising an optical lattice in an interating two-component Bose-Einstein condensate. We study numerically and analytically the spin-squeezing dynamics, the adiabaticity condition and the limits imposed by particle losses.