2D attractive almost-bosonic anyon gases
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910586042843136 |
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| author | Nguyen, Dinh-Thi |
| author_facet | Nguyen, Dinh-Thi |
| contents | In two-dimensional space, we consider a system of $N$ anyons interacts via a short range attractive two-body interaction. In the stable regime, we derive the average-field Pauli functional as the mean-field limit of many-body quantum mechanics. Furthermore, we investigate the collapse phenomenon in the collapse regime where the strength of attractions tends to a critical value (defined by the cubic NLS equation) while simultaneously considering the weak field regime where the strength of the self-generated magnetic field tends to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00409 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 2D attractive almost-bosonic anyon gases Nguyen, Dinh-Thi Mathematical Physics Quantum Gases 81V70, 81Q10, 35P15, 46N50 In two-dimensional space, we consider a system of $N$ anyons interacts via a short range attractive two-body interaction. In the stable regime, we derive the average-field Pauli functional as the mean-field limit of many-body quantum mechanics. Furthermore, we investigate the collapse phenomenon in the collapse regime where the strength of attractions tends to a critical value (defined by the cubic NLS equation) while simultaneously considering the weak field regime where the strength of the self-generated magnetic field tends to zero. |
| title | 2D attractive almost-bosonic anyon gases |
| topic | Mathematical Physics Quantum Gases 81V70, 81Q10, 35P15, 46N50 |
| url | https://arxiv.org/abs/2409.00409 |