A Source of Deterministic Entanglement for Matter-Wave Networks

Abstract: We describe a deterministic and experimentally feasible protocol for generating entangled pairs of ultracold neutral atoms through controlled dissociation of diatomic Feshbach molecules. The dissociation process naturally produces nonlocal quantum correlations in spin, position-momentum, and path degrees of freedom, enabling the deterministic preparation of Einstein-Podolsky-Rosen pairs of massive particles and multiqubit states through hyperentangled encoding. Having each atom of the pair prepared in a matter waveguide, the scheme can be scaled to hundreds of parallel entanglement sources in an array connected to a matter wave optical network of beam splitters, phase shifters, interferometers, tunnel junctions and local detectors. The protocol builds on established techniques, including programmable optical potentials, high-fidelity single-particle control, single-molecule initialization, controlled molecular dissociation, and quantum gas microscopy with near-perfect detection, making it directly implementable with current technology. The proposed architecture naturally integrates with atomtronics circuits and chip-based matter-wave optics, offering a deterministic entanglement source for quantum nonlocality tests, precision metrology, and scalable neutral-atom quantum processors.