Fisher information manifestation of dynamical stability and transition to self-trapping for Bose-Einstein condensates

TL;DR

This paper explores how quantum Fisher information signals the transition from stable to unstable states and from Josephson oscillation to self-trapping in Bose-Einstein condensates within a double well.

Contribution

It reveals the direct relationship between quantum Fisher information and dynamical stability, highlighting its role as an indicator of phase transitions in BECs.

Findings

Quantum Fisher information sharply transitions at stability boundaries.

Abrupt change in Fisher information accompanies the transition to self-trapping.

Fisher information can serve as a diagnostic tool for dynamical phase transitions.

Abstract

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.