Shortcut to adiabaticity in internal bosonic Josephson junctions

TL;DR

This paper introduces a method to rapidly achieve adiabatic-like states in internal bosonic Josephson junctions, enhancing spin-squeezing efficiency by controlling the linear coupling, applicable in large particle systems.

Contribution

The authors extend a shortcut-to-adiabaticity method to internal bosonic Josephson junctions using a mapping to a Schrödinger-like equation, improving spin-squeezing.

Findings

Method effectively speeds up adiabatic processes.

Significant improvement in spin-squeezing compared to linear ramping.

Applicable to current experimental setups.

Abstract

We extend a recent method to shortcut the adiabatic following to internal bosonic Josephson junctions in which the control parameter is the linear coupling between the modes. The approach is based on the mapping between the two-site Bose-Hubbard Hamiltonian and a 1D effective Schr\"odinger-like equation, valid in the large $N$ (number of particles) limit. Our method can be readily implemented in current internal bosonic Josephson junctions and it improves substantially the production of spin-squeezing with respect to usually employed linear rampings.