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Since the recent experimental realization of synthetic Rashba spin-orbitcoupling paved a new avenue for exploring and engineering topological phases inultracold atoms, a precise, solid detection of Berry phase has been desired forunequivocal characterization of system topology. Here, we propose a scheme toconduct momentum-space Aharonov-Bohm interferometry in a Rashba spin-orbitcoupled Bose-Einstein condensate with a sudden change of in-plane Zeeman field,capable of measuring the Berry phase of Rashba energy bands. We find that theBerry phase with the presence of a Dirac point is directly revealed by a robustdark interference fringe, and that as a function of external Zeeman field ischaracterized by the contrast of fringes. We also build a variational modeldescribing the interference process with semiclassical equations of motion ofessential dynamical quantities, which lead to agreeable trajectories andgeometric phases with the real-time simulation of Gross-Pitaevskii equation.Our study would provide timely guidance for the experimental detection of Berryphase in ultracold atomic systems and help further investigation on theirinterference dynamics in momentum space.

Momentum-space Aharonov-Bohm interferometry in Rashba spin-orbit coupled Bose-Einstein condensates