标题： 量子关联与囚禁一维超冷玻色-玻色-玻色混合体系中的空间局域化 显示英文标题

标题： Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures

摘要： 我们系统地研究并展示了被困于谐振势中的一维三类少量相互排斥的玻色子混合体系完整的基态相图。为了数值求解多体薛定谔方程，我们采用了改进后的精确对角化方法 [T. D. Anh-Tai {\it 等}, SciPost Physics 15, 048 (2023)]，该方法能够在高效截断的希尔伯特空间中从头处理强关联的少体系统。我们给出了所有可能的种内和种间相互作用组合在极端条件下（理想极限$g=0$或接近硬核极限$g\to\infty$）的综合结果。这些结果显示了由于强烈排斥相互作用而产生的独特基态特性，包括相关性、相干性和空间局域性。 显示英文摘要

摘要： We systematically investigate and illustrate the complete ground-state phase diagram for a one-dimensional, three-species mixture of a few repulsively interacting bosons trapped harmonically. To numerically obtain the solutions to the many-body Schr\"{o}dinger equation, we employ the improved Exact Diagonalization method [T. D. Anh-Tai {\it et al.}, SciPost Physics 15, 048 (2023)], which is capable of treating strongly-correlated few-body systems from first principles in an efficiently truncated Hilbert space. We present our comprehensive results for all possible combinations of intra- and interspecies interactions in the extreme limits that are either the ideal limit ($g=0$) or close to the hard-core limit ($g\to\infty$). These results show the emergence of unique ground-state properties related to correlations, coherence and spatial localization stemming from strongly repulsive interactions.