Measuring atomic NOON-states and using them to make precision measurements

TL;DR

This paper proposes a method to confirm the creation of atomic NOON-states in optical lattices and demonstrates their application in high-precision rotation measurements, advancing quantum metrology techniques.

Contribution

It introduces a spectroscopic scheme to verify atomic NOON-states and explores their use in enhancing rotation measurement precision.

Findings

Spectroscopic mapping confirms NOON-state creation.

NOON-states enable high-precision rotation sensing.

The scheme provides a practical verification method.

Abstract

A scheme for creating NOON-states of the quasi-momentum of ultra-cold atoms has recently been proposed [New J. Phys. 8, 180 (2006)]. This was achieved by trapping the atoms in an optical lattice in a ring configuration and rotating the potential at a rate equal to half a quantum of angular momentum . In this paper we present a scheme for confirming that a NOON-state has indeed been created. This is achieved by spectroscopically mapping out the anti-crossing between the ground and first excited levels by modulating the rate at which the potential is rotated. Finally we show how the NOON-state can be used to make precision measurements of rotation.