Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose–Bose–Bose mixtures
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 Diag...
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ade89e |
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| author | Tran Duong Anh-Tai Miguel A García-March Thomas Busch Thomás Fogarty |
| author_facet | Tran Duong Anh-Tai Miguel A García-March Thomas Busch Thomás Fogarty |
| author_sort | Tran Duong Anh-Tai |
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| description | 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 (Anh-Tai et al 2023 SciPost Phys. 15 048), 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 | Article |
| id | doaj-art-c663615ce91e4e70bf9fbb45c06f973d |
| institution | Matheson Library |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-c663615ce91e4e70bf9fbb45c06f973d2025-07-07T06:09:43ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127707320110.1088/1367-2630/ade89eQuantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose–Bose–Bose mixturesTran Duong Anh-Tai0https://orcid.org/0000-0003-1704-2621Miguel A García-March1https://orcid.org/0000-0001-7092-838XThomas Busch2https://orcid.org/0000-0003-0535-2833Thomás Fogarty3https://orcid.org/0000-0003-4940-5861Quantum Systems Unit, OIST Graduate University , Onna, Okinawa 904-0495, Japan; Homer L. Dodge Department of Physics and Astronomy, The University of Oklahoma , 440 W. Brooks Street, Norman, OK 73019, United States of America; Center for Quantum Research and Technology, The University of Oklahoma , 440 W. Brooks Street, Norman, OK 73019, United States of AmericaInstituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València , E-46022 València, SpainQuantum Systems Unit, OIST Graduate University , Onna, Okinawa 904-0495, JapanQuantum Systems Unit, OIST Graduate University , Onna, Okinawa 904-0495, JapanWe 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 (Anh-Tai et al 2023 SciPost Phys. 15 048), 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.https://doi.org/10.1088/1367-2630/ade89eultra-cold bosonic quantum gasesimproved exact diagonalizationstrongly-correlated few-body systems |
| spellingShingle | Tran Duong Anh-Tai Miguel A García-March Thomas Busch Thomás Fogarty Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose–Bose–Bose mixtures New Journal of Physics ultra-cold bosonic quantum gases improved exact diagonalization strongly-correlated few-body systems |
| title | Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose–Bose–Bose mixtures |
| title_full | Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose–Bose–Bose mixtures |
| title_fullStr | Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose–Bose–Bose mixtures |
| title_full_unstemmed | Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose–Bose–Bose mixtures |
| title_short | Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose–Bose–Bose mixtures |
| title_sort | quantum correlations and spatial localization in trapped one dimensional ultra cold bose bose bose mixtures |
| topic | ultra-cold bosonic quantum gases improved exact diagonalization strongly-correlated few-body systems |
| url | https://doi.org/10.1088/1367-2630/ade89e |
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