Tonekaboni, BehnamHaine, Simon A.Szigeti, Stuart S.2026-01-012026-01-011050-2947ORCID:/0000-0002-3015-6511/work/163626728https://hdl.handle.net/1885/733801181We have previously shown that quantum-enhanced atom interferometry can be achieved by mapping the quantum state of squeezed optical vacuum to one of the atomic inputs via a beamsplitter-like process [Phys. Rev. A 90, 063630 (2014)PLRAAN1050-294710.1103/PhysRevA.90.063630]. Here we ask the question: is a better phase sensitivity possible if the quantum state transfer (QST) is described by a three-mode-mixing model, rather than a beamsplitter? The answer is yes, but only if the portion of the optical state not transferred to the atoms is incorporated via information recycling. Surprisingly, our scheme gives a better sensitivity for lower QST efficiencies and with a sufficiently large degree of squeezing can attain near-Heisenberg-limited sensitivities for arbitrarily small QST efficiencies. Furthermore, we use the quantum Fisher information to demonstrate the near optimality of our scheme.enPublisher Copyright: © 2015 American Physical Society.Heisenberg-limited metrology with a squeezed vacuum state, three-mode mixing, and information recycling2015-03-1310.1103/PhysRevA.91.03361684927539000