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We investigate the property of isotropic harmonic traps to Fourier transform a weakly interacting Bose-Einstein Condensate (BEC) every quarter of a trap period. We solve the Gross-Pitaevskii equation numerically to investigate the time evolution of interacting BECs in the context of the Fourier transform, and we suggest potential applications.

Fourier transforming a trapped Bose–Einstein condensate by waiting a quarter of the trap period: simulation and applications