Effect of inter-particle interaction in a free oscillation atomic interferometer

Abstract

We investigate the dynamics of two interacting bosons repeatedly scattering off a beam-splitter in a free oscillation atom interferometer. Using the inter-particle scattering length and the beam splitter probabilites as our control parameters, we show that even in a simple setup like this a wide range of strongly correlated quantum states can be created. This in particular includes the NOON state, which maximizes the quantum Fisher information and is a foremost state in quantum metrology.

7 pages, 9 figures, Published Version. NOTE: This version corrects some minor typos in Sec. II A and therefore reflects the erratum associated with the published version