Gaussian number-squeezed states for sub-shot-noise interferometery in double-well Bose-Einstein condensates

TL;DR

This paper investigates the potential of Gaussian number-squeezed states in double-well Bose-Einstein condensates to achieve sub-shot-noise interferometry, revealing that scaling saturates at high atom numbers based on new geometric insights.

Contribution

The authors introduce a geometric method to analyze number-squeezed states, showing that scaling behavior saturates at higher atom numbers than previously observed.

Findings

Scaling with N saturates around 7000 atoms

Numerical results limited by computational resources

New geometric method provides deeper understanding

Abstract

This paper has been withdrawn. It is based on numerical results limited by computing resources to N=3000 atoms. Using a newly understood geometric method we find that the observed scaling with N saturates at around N=7000 or even higher. In light of this new finding we withdraw the paper and will submit a revised manuscript reflecting our new understanding.