@article{13424, author = {Chengyi Luo and Haoqing Zhang and Vanessa Koh and John Wilson and Anjun Chu and Murray Holland and Ana Maria Rey and James Thompson}, title = {Momentum-exchange interactions in a Bragg atom interferometer suppress Doppler dephasing}, abstract = {Large ensembles of laser-cooled atoms interacting through infinite-range photon-mediated interactions are powerful platforms for quantum simulation and sensing. Here we realize momentum-exchange interactions in which pairs of atoms exchange their momentum states by collective emission and absorption of photons from a common cavity mode, a process equivalent to a spin-exchange or XX collective Heisenberg interaction. The momentum-exchange interaction leads to an observed all-to-all Ising-like interaction in a matter-wave interferometer. A many-body energy gap also emerges, effectively binding interferometer matter-wave packets together to suppress Doppler dephasing in analogy to Mössbauer spectroscopy. The tunable momentum-exchange interaction expands the capabilities of quantum interaction–enhanced matter-wave interferometry and may enable the realization of exotic behaviors, including simulations of superconductors and dynamical gauge fields.}, year = {2024}, journal = {Science}, volume = {384}, pages = {551-556}, month = {2024-05}, publisher = {American Association for the Advancement of Science (AAAS)}, issn = {0036-8075, 1095-9203}, doi = {10.1126/science.adi1393}, }