Fast and optimal generation of entanglement in bosonic Josephson junctions

TL;DR

This paper demonstrates that linear coupling in bosonic Josephson junctions accelerates entanglement creation, and identifies optimal parameters for rapid, metrologically useful entanglement generation using analytical and numerical methods.

Contribution

It introduces an exact quantum phase model showing how coupling enhances entanglement speed and finds optimal conditions for fast entanglement generation.

Findings

Linear coupling accelerates entanglement creation.

Optimal parameters for rapid entanglement are identified.

Short-time, metrologically useful entanglement can be achieved.

Abstract

We use an exact quantum phase model to study the dynamical generation of particle-entanglement in a bosonic Josephson junction composed by two coupled and interacting Bose-Einstein condensates. Using analytical arguments, we show that linear coupling can accelerate the creation of entanglement with respect to the well known one-axis twisting model where coupling is absent. Furthermore, with a numerical analysis of optimal control schemes, we identify the optimal parameters for the fast generation of metrologically useful entanglement on short time scales: the optimal evolution is generated for a specific ratio between the coupling and the interaction strength.