Interacting quantum mixtures for precision atom interferometry

Year: 2020

Authors: Corgier R.; Loriani S.; Ahlers H.; Posso-Trujillo K.; Schubert C.; Rasel E.M.; Charron E.; Gaaloul N.

Autors Affiliation: Leibniz Univ Hannover, Inst Quantenopt, Welfengarten 1, D-30167 Hannover, Germany; Univ Paris Saclay, Inst Sci Mol Orsay, CNRS, F-91405 Orsay, France; Leibniz Univ Hannover, Inst Satellitengeodasie & Inertialsensor, Deutsch Zentrum Luft & Raumfahrt eV DLR, DLR SI, Callinstr 36, D-30167 Hannover, Germany; CNR, Quantum Sci & Technol Arcetri INO, Largo Enrico Fermi 2, I-50125 Florence, Italy

Abstract: We present a source engineering concept for a binary quantum mixture suitable as input for differential, precision atom interferometry with drift times of several seconds. To solve the non-linear dynamics of the mixture, we develop a set of scaling approach equations and verify their validity contrasting it to the one of a system of coupled Gross-Pitaevskii equations. This scaling approach is a generalization of the standard approach commonly used for single species. Its validity range is discussed with respect to intra- and inter-species interaction regimes. We propose a multi-stage, non-linear atomic lens sequence to simultaneously create dual ensembles with ultra-slow kinetic expansion energies, below 15 pK. Our scheme has the advantage of mitigating wave front aberrations, a leading systematic effect in precision atom interferometry.

Journal/Review: NEW JOURNAL OF PHYSICS

Volume: 22 (12)      Pages from: 123008-1  to: 123008-19

More Information: We thank Jan-Niclas Siem beta for valuable discussions. This work is supported by the German Space Agency (DLR) with funds provided by the Federal Ministry for Economic Affairs and Energy (BMWi) due to an enactment of the German Bundestag under Grant Nos. 50WM1861 and 50WM2060, by ´Nieders´´achsisches Vorab´ through the ´Quantum- and Nano-Metrology (QUANOMET)´ initiative within the project QT3, through the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany´s Excellence Strategy-EXC 2123 QuantumFrontiers, Project-ID 390837967, and through `Forderung von Wissenschaft und Technik in Forschung und Lehre´ for the initial funding of research in the new DLR Institutes (DLR-SI and DLR-QT). We also acknowledge support by the CRC 1227 DQmat within the projects A05 and B07, the QUEST-LFS, the Verein Deutscher Ingenieure (VDI) with funds provided by the Federal Ministry of Education and Research (BMBF) under Grant No. VDI 13N14838 (TAIOL). RC and KP-T are grateful to the German Foreign Academic Exchange (DAAD) for supporting their research activities in Germany. RC and SL acknowledge the support of the IP@Leibniz program of the Leibniz University of Hanover for travel grants supporting their stays in France. RC and NG acknowledge mobility support from the Q-SENSE project, which has received funding from the European Union´s Horizon 2020 Research and Innovation Staff Exchange (RISE) Horizon 2020 program under Grant Agreement Number 691156. Additional mobility funds were thankfully made available through the bilateral exchange project PHC-Procope. The publication of this article was funded by the Open Access Fund of the Leibniz Universitat Hannover.
KeyWords: Bose-Einstein condensate; quantum mixtures: atom interferometry; scaling approach; equivalence principle; interacting quantum gases; precision tests
DOI: 10.1088/1367-2630/abcbc8