Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911460272111616 |
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| author | Anh-Tai, Tran Duong García-March, Miguel A. Busch, Thomas Fogarty, Thomás |
| author_facet | Anh-Tai, Tran Duong García-March, Miguel A. Busch, Thomas Fogarty, Thomás |
| contents | 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 Schrödinger 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_15358 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures Anh-Tai, Tran Duong García-March, Miguel A. Busch, Thomas Fogarty, Thomás Quantum Gases Quantum Physics 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 Schrödinger 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. |
| title | Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2501.15358 |