Physics – Quantum Physics
Scientific paper
2010-08-09
Phys. Rev. A 82, 053636 (2010)
Physics
Quantum Physics
16 pages, 7 figures. Added references and minor changes to match published version
Scientific paper
We analyze a proposed experiment [Boixo et al., Phys. Rev. Lett. 101, 040403 (2008)] for achieving sensitivity scaling better than $1/N$ in a nonlinear Ramsey interferometer that uses a two-mode Bose-Einstein condensate (BEC) of $N$ atoms. We present numerical simulations that confirm the analytical predictions for the effect of the spreading of the BEC ground-state wave function on the ideal $1/N^{3/2}$ scaling. Numerical integration of the coupled, time-dependent, two-mode Gross-Pitaevskii equations allows us to study the several simplifying assumptions made in the initial analytic study of the proposal and to explore when they can be justified. In particular, we find that the two modes share the same spatial wave function for a length of time that is sufficient to run the metrology scheme.
Boixo Sergio
Caves Carlton M.
Datta Animesh
Shaji Anil
Tacla Alexandre B.
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