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

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