Matter-wave soliton based rotation sensing

Atom interferometers can in principle achieve rotation sensitivities much better than the best current optical gyroscopes. ~However, the practical realization of compact, trapped-atom rotation sensors have been limited by significant technical and fundamental constraints. ~We propose and evaluate an integrated platform for Sagnac interferometry using matter-wave solitons generated and confined in a quasi-1-dimensional evanescent wave optical dipole trap around a microtoroidal resonator. ~Numerical simulations based on the truncated Wigner approximation (TWA) show that the non-dispersive nature of solitons allows us to substantially increase the effective area enclosed by the Sagnac interferometer arms -- enabling a projected shot-noise limited phase sensitivity of 10 mrad/$\surd $Hz and a rotation sensitivity below 8 x 10$^{\mathrm{-7}}$ rad/s/$\surd $Hz. We also discuss prospects of using the intrinsic interactions within the soliton as a means of obtaining spin-squeezing and enhanced interferometric contrast.