Robust quantum enhanced phase estimation in a multimode interferometer

By exploiting the correlation properties of ultracold atoms in a multi-mode interferometer, we show how quantum enhanced measurement precision can be achieved with strong robustness to particle loss. While the potential for enhanced measurement precision is limited for even moderate loss in two-mode schemes, multi-mode schemes can be more robust. A ring interferometer for sensing rotational motion with non-interacting fermionic atoms can realize an uncertainty scaling of $1\mathrm{/}(N\sqrt{\eta })$ for $N$ particles with a fraction $\eta$ remaining after loss, which undercuts the shot noise limit of two mode interferometers. A second scheme with strongly-interacting bosons achieves a comparable measurement precision and improved readout.