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Bulletin of the American Physical Society

Atomic Interferometry in Antiferromagetic Spinor Bose-Einstein Condensates in the Regime of Long Evolution Time

Shan Zhong, Qimin Zhang, Isaiah Morgenstern, Hio Giap Ooi, Arne Schwettmann

Published May 29, 2019• 0 citations
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We numerically investigate atomic interferometry based on spin-exchange collisions in F=1F=1F=1 spinor Bose-Einstein condensates in the regime of long evolution times $t\ensuremath{\gg}h/c$, where ccc is the spin-dependent interaction energy. We show that the sensitivity of spin-mixing interferometry can be enhanced by using classically seeded initial states with a small population prepared in the ${m}_{F}=\ifmmode\pm\else\textpm\fi{}1$ states.
We study the time-evolution of an optically trapped spinor Bose-Einstein condensate under the influence of a dominating magnetic bias field in the z-direction, and a perpendicular smaller field that couples the spinor states. We show that if the bias field depends quadratically on time, the relative phases of the spinor components affect the populations of the final state. This allows one to measure the differences in the time-evolution of the relative phases, thereby realizing a multi-arm interferometer in a spinor Bose-Einstein condensate.