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

TL;DR

This paper explores the ground-state phase diagram of a one-dimensional three-species Bose mixture, revealing how strong repulsive interactions influence correlations, coherence, and spatial localization, using advanced numerical methods.

Contribution

It provides a comprehensive analysis of the ground-state phases for all interaction regimes in a three-species Bose mixture using an improved Exact Diagonalization method.

Findings

Identification of unique correlation and localization properties in different interaction regimes

Demonstration of the method's effectiveness in strongly correlated few-body systems

Mapping of the phase diagram from ideal to hard-core interaction limits

Abstract

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.