Tweezer interferometry with NOON states

TL;DR

This paper investigates the potential of tweezer interferometry using NOON states with condensed bosons, proposing a protocol for enhanced phase measurement precision and analyzing its feasibility and necessary conditions.

Contribution

It introduces a novel tweezer-based NOON state interferometry protocol and provides a theoretical analysis of its adiabatic conditions and feasibility.

Findings

NOON states can theoretically enhance phase measurement by a factor of N.

The proposed protocol includes adiabatic splitting, merging, and branching steps.

Feasibility and time estimates for implementing the scheme are provided.

Abstract

Atomic interferometers measure phase differences along paths with exceptional precision. Tweezer interferometry represents a novel approach for this measurement by guiding particles along predefined trajectories. This study explores the feasibility of using condensed bosons in tweezer interferometry. Unlike the factor $\sqrt{N}$ enhancement expected with classical ensembles, using NOON state interferometry can yield an enhancement by a factor of $N$. We consider a protocol for a tweezer-based NOON state interferometer that includes adiabatic splitting and merging of condensed bosons, followed by adiabatic branching for phase encoding. Our theoretical analysis focuses on the conditions necessary to achieve adiabaticity and avoid spontaneous symmetry breaking. Additionally, we demonstrate the feasibility of the proposed scheme and estimate the time required to perform these sweep processes.