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.

中文翻译：

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用于精密原子干涉测量的相互作用量子混合物

我们提出了二元量子混合物的源工程概念，适合作为漂移时间为几秒的差分精密原子干涉测量的输入。为了解决混合物的非线性动力学问题，我们开发了一组标度方法方程并验证它们的有效性，将其与耦合 Gross-Pitaevskii 方程系统中的一个进行对比。这种缩放方法是通常用于单个物种的标准方法的概括。其有效性范围在物种内和物种间相互作用机制方面进行了讨论。我们提出了一种多级非线性原子透镜序列，以同时创建具有低于 15 pK 的超慢动膨胀能量的双系综。我们的方案具有减轻波前像差的优势，这是精密原子干涉测量中的领先系统效应。