Mutual coherence and spin squeezing in double-well atomic condensates

We develop an analytical method for the investigations of quantum dynamics and statistics of double-well atomic condensates with Josephson-like coupling. An interesting collapse and revival phenomenon is shown for any atomic state, and the anti-correlations are revealed between the two atomic modes through an exact result for second-order cross-correlation. Particularly, the possible violation of Cauchy-Schwarz inequality as the sign of nonlocality are exhibited by the combination of intrinsic collisions and external field. The essential difference between the two-mode nonclassical correlation and the collective spin squeezing is also briefly discussed