  We consider a two-mode atomic Josephson junction realized with dilute dipolar
bosons confined by a double-well. We employ the two-site extended Bose-Hubbard
Hamiltonian and characterize the ground-state of this system by the Fisher
information, coherence visibility, and entanglement entropy. These quantities
are studied as functions of the interaction between bosons in different wells.
The emergence of Schroedinger-cat like state with a loss of coherence is also
commented.
