Maximizing entanglement in bosonic Josephson junctions using shortcuts to adiabaticity and optimal control

TL;DR

This paper explores how to rapidly generate maximum entanglement in a bosonic Josephson junction by applying shortcuts to adiabaticity and optimal control techniques to manipulate system parameters.

Contribution

It introduces a method combining shortcuts to adiabaticity and numerical optimization to efficiently reach highly entangled states in bosonic Josephson junctions.

Findings

Achieves maximum entanglement faster than traditional methods

Identifies optimal control protocols for system parameters

Demonstrates effectiveness in various physical implementations

Abstract

In this article we consider a bosonic Josephson junction, a model system composed by two coupled nonlinear quantum oscillators which can be implemented in various physical contexts, initially prepared in a product of weakly populated coherent states. We quantify the maximum achievable entanglement between the modes of the junction and then use shortcuts to adiabaticity, a method developed to speed up adiabatic quantum dynamics, as well as numerical optimization, to find time-dependent controls (the nonlinearity and the coupling of the junction) which bring the system to a maximally entangled state.