Few-body bound states of bosonic mixtures in two-dimensional optical lattices
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918253311295488 |
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| author | Volante-Abovich, Matias Isaule, Felipe Morales-Molina, Luis |
| author_facet | Volante-Abovich, Matias Isaule, Felipe Morales-Molina, Luis |
| contents | We study the formation of bound states in a binary mixture of a few bosons in small square optical lattices. Using the exact diagonalization method, we find that bound clusters of all available bosons can form. We provide a comprehensive numerical examination of these bound states for a wide range of repulsive intraspecies and attractive interspecies interactions. In contrast to binary mixtures in one-dimensional chains, we reveal that the binding energy of the clusters shows a non-monotonic dependence on the interspecies interaction strengths for small tunneling rates, developing a local minimum for intermediate attractive interactions. The findings of this work highlight the difference between the binding mechanisms of binary bosonic mixtures in one- and higher-dimensional lattices. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_21385 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Few-body bound states of bosonic mixtures in two-dimensional optical lattices Volante-Abovich, Matias Isaule, Felipe Morales-Molina, Luis Quantum Gases We study the formation of bound states in a binary mixture of a few bosons in small square optical lattices. Using the exact diagonalization method, we find that bound clusters of all available bosons can form. We provide a comprehensive numerical examination of these bound states for a wide range of repulsive intraspecies and attractive interspecies interactions. In contrast to binary mixtures in one-dimensional chains, we reveal that the binding energy of the clusters shows a non-monotonic dependence on the interspecies interaction strengths for small tunneling rates, developing a local minimum for intermediate attractive interactions. The findings of this work highlight the difference between the binding mechanisms of binary bosonic mixtures in one- and higher-dimensional lattices. |
| title | Few-body bound states of bosonic mixtures in two-dimensional optical lattices |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2506.21385 |