Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-07-05
Physics
Condensed Matter
Quantum Gases
4 pages, 2 figures
Scientific paper
We investigate how to estimate from atom-position measurements the relative phase of two Bose-Einstein condensates released from a double-well potential. We demonstrate that the phase estimation sensitivity via the fit of the average density to the interference pattern is fundamentally bounded by shot noise. This bound can be overcome by estimating the phase from the measurement of $\sqrt N$ (or higher) correlation function. The optimal estimation strategy requires the measurement of the $N$-th order correlation function. We also demonstrate that a second estimation method -- based on the detection of the center of mass of the interference pattern -- provides sub shot-noise sensitivity. Yet, the implementation of both protocols might be experimentally challenging.
Chwedeńczuk Jan
Piazza Francesco
Smerzi Augusto
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