Interacting quantum mixtures for precision atom interferometry
Robin Corgier (1, 2), Sina Loriani (1), Holger Ahlers (1), Katerine, Posso-Trujillo (1), Christian Schubert (1), Ernst M. Rasel (1), Eric Charron, (2), Naceur Gaaloul (1) ((1) Institut fur Quantenoptik, Leibniz Universitat, Hannover, Germany, (2) Universit\'e Paris-Saclay, CNRS

TL;DR
This paper introduces a novel method for engineering binary quantum mixtures to enhance precision in atom interferometry, employing a generalized scaling approach and a multi-stage atomic lens sequence to reduce systematic errors.
Contribution
It develops a generalized scaling approach for binary quantum mixtures and proposes a multi-stage atomic lens sequence to improve atom interferometry precision.
Findings
Scaling approach verified against coupled Gross-Pitaevskii equations.
Achieved ultra-slow kinetic expansion energies below 15 pK.
Mitigates wave front aberrations in atom interferometry.
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.
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