We derive the complete mixing-demixing phase-diagram relevant to a bosonic binary mixture confined in a ring trimer and modeled within the Bose-Hubbard picture. The mixing properties of the two quantum fluids, which are shown to be strongly affected by the fragmented character of the confining potential, are evaluated by means of a specific indicator imported from Statistical Thermodynamics and are shown to depend only on two effective parameters incorporating the asymmetry between the heteronuclear species. To closely match realistic experimental conditions, our study is extended also beyond the pointlike approximation of potential wells by describing the systems in terms of two coupled Gross-Pitaevskii equations. The resulting mean-field analysis confirms the rich scenario of mixing-demixing transitions of the mixture and also constitutes an effective springboard towards a viable experimental realization. We additionally propose an experimental realization based on a realistic optical-tweezers system and on the bosonic mixture 23Na + 39K, thanks to the large tunability of their intra- and inter-species scattering lengths.
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机译:我们推导了与限定在环形三聚体中并在Bose-Hubbard图片中建模的玻色二元混合物相关的完整混合-脱脂相图。两种量子流体的混合特性受到局限势的零碎特性的强烈影响,通过从统计热力学中导入的特定指标进行评估,并且仅依赖于结合了不对称性的两个有效参数之间的异核物种。为了紧密匹配现实的实验条件,我们的研究还通过用两个耦合的Gross-Pitaevskii方程描述了系统,将其扩展到了潜在井的点状逼近之外。所得的平均场分析证实了混合物的混合-去混合转变的丰富场景,也构成了朝着可行的实验实现迈进的有效跳板。我们还提出了一个基于现实的光镊系统和玻色子混合物 23 sup> Na + 39 sup> K的实验实现,这归因于其内部和内部的巨大可调性-种类散射长度。
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