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We numerically demonstrate atomic Fabry-Perot resonances for a pulsedinteracting Bose-Einstein condensate (BEC) source transmitting through doubleGaussian barriers. These resonances are observable for anexperimentally-feasible parameter choice, which we determined using apreviously-developed analytical model for a plane matter-wave incident on adouble rectangular barrier system. By simulating an effective one-dimensionalGross-Pitaevskii equation, we investigate the effect of atom number, scatteringlength, and BEC momentum width on the resonant transmission peaks. For$^{85}$Rb atomic sources with the current experimentally-achievable momentumwidth of $0.02 \hbar k_0$ [$k_0 = 2\pi/(780~\text{nm})$], we show thatreasonably high contrast Fabry-Perot resonant transmission peaks can beobserved using a) non-interacting BECs of $10^5$ atoms, b) interacting BECs of$10^5$ atoms with $s$-wave scattering lengths $a_s=\pm 0.1a_0$ [$a_0$ is theBohr radius], and c) interacting BECs of $10^3$ atoms with $a_s=\pm 1.0a_0$.Our theoretical investigation impacts any future experimental realisation of anatomic Fabry-Perot interferometer with an ultracold atomic source.

An atomic Fabry-Perot interferometer using a pulsed interacting Bose-Einstein condensate