Interaction-induced first order correlation between spatially-separated   1D dipolar fermions
  We calculate the ground-state properties of fermionic dipolar atoms or molecules in a one-dimensional double-tube potential by using the Luttinger liquid theory and the density matrix renormalization-group calculation. When the external field is applied near a magic angle with respect to the double-tube plane, the long-ranged dipolar interaction can generate a spontaneous correlation between fermions in different tubes, even when the bare intertube tunneling rate is negligibly small. Such interaction-induced correlation strongly enhances the contrast of the interference fringes and therefore can be easily observed in the standard time-of-flight experiment. 
Chi-Ming Chang, Wei-Chao Shen, Chen-Yen Lai, Pochung Chen and Daw-Wei   Wang