Fisher information manifestation of dynamical stability and transition   to self-trapping for Bose-Einstein condensates
  We investigate dynamical stability and self-trapping for Bose-Einstein condensates in a symmetric double well. The relation between the quantum Fisher information and the stability of the fixed point is studied. We find that the quantum Fisher information displays a sharp transition as the fixed point evolving from stable to unstable regime. Moreover, the transition from Josephson oscillation to self-trapping is accompanied by an abrupt change of the quantum Fisher information. 
Yixiao Huang, Wei Zhong, Zhe Sun, and Xiaoguang Wang
quant-ph