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

• URL: http://arxiv.org/abs/2001.05206v2
• Date: Tue, 15 Sep 2020 11:59:46 GMT
• Title: An atomic Fabry-Perot interferometer using a pulsed interacting Bose-Einstein condensate
• Authors: Manju Perumbil, Kyle S Hardman, Paul B Wigley, John D Close, Nicholas P Robins, Stuart S Szigeti
• Abstract summary: We numerically demonstrate atomic Fabry-Perot resonances for a pulsed interacting Bose-Einstein condensate source transmitting through double Gaussian barriers. Our theoretical investigation impacts any future experimental realisation of an atomic Fabry-Perot interferometer with an ultracold atomic source.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We numerically demonstrate atomic Fabry-Perot resonances for a pulsed interacting Bose-Einstein condensate (BEC) source transmitting through double Gaussian barriers. These resonances are observable for an experimentally-feasible parameter choice, which we determined using a previously-developed analytical model for a plane matter-wave incident on a double rectangular barrier system. By simulating an effective one-dimensional Gross-Pitaevskii equation, we investigate the effect of atom number, scattering length, and BEC momentum width on the resonant transmission peaks. For $^{85}$Rb atomic sources with the current experimentally-achievable momentum width of $0.02 \hbar k_0$ [$k_0 = 2\pi/(780~\text{nm})$], we show that reasonably high contrast Fabry-Perot resonant transmission peaks can be observed 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 the Bohr 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 an atomic Fabry-Perot interferometer with an ultracold atomic source.

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