Sub shot-noise interferometry from measurements of the one-body density

Details Sub shot-noise interferometry from measurements of the one-body density Sub shot-noise interferometry from measurements of the one-body density

2011-08-13

arxiv.org/abs/1108.2785v1

Physics

Quantum Physics

9 pages. 3 figures

Scientific paper

We show that a sub shot-noise sensitivity -- associated with the quantum correlations present in the state entering the interferometer -- can be achieved with particle-position measurements using a new phase estimator which does not require {\em any} knowledge about these correlations, and is based on the single-body density. For the case of the estimation of the relative phase $\theta$ between two interfering wave-packets we demonstrate that the sensitivity can scale as $\Delta^2\theta\propto N^{-1.33}$ with the total number of particles $N$ when phase-squeezed states are used. The necessary amount of squeezing could be created using a Bose-Einstein Condensate trapped in a double-well potential, and we argue that even with finite detection efficiency/resolution, sub shot-noise sensitivity can be preserved.

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