Effective theory for strongly attractive one-dimensional fermions
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912498705235968 |
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| author | Backert, Timothy G. Brauneis, Fabian Čufar, Matija Brand, Joachim Hammer, Hans-Werner Volosniev, Artem G. |
| author_facet | Backert, Timothy G. Brauneis, Fabian Čufar, Matija Brand, Joachim Hammer, Hans-Werner Volosniev, Artem G. |
| contents | We study a one-dimensional system of two-component fermions in the limit of strong attractive particle-particle interactions. First, we analyze scattering in the corresponding few-body problem, which is analytically solvable via Bethe ansatz. This allows us to engineer effective interactions between the system's effective degrees of freedom: fermions and bosonic dimers (tightly bound pairs of fermions). We argue that, although these interactions are strong, the resulting effective problem can be mapped onto a weakly interacting one, paving the way for the use of perturbation theory. This finding simplifies studies of many-fermion systems under confinement that are beyond reach of state-of-the-art numerical methods. We illustrate this statement by considering an impurity atom in a Fermi gas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05915 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective theory for strongly attractive one-dimensional fermions Backert, Timothy G. Brauneis, Fabian Čufar, Matija Brand, Joachim Hammer, Hans-Werner Volosniev, Artem G. Quantum Gases Strongly Correlated Electrons Exactly Solvable and Integrable Systems Nuclear Theory We study a one-dimensional system of two-component fermions in the limit of strong attractive particle-particle interactions. First, we analyze scattering in the corresponding few-body problem, which is analytically solvable via Bethe ansatz. This allows us to engineer effective interactions between the system's effective degrees of freedom: fermions and bosonic dimers (tightly bound pairs of fermions). We argue that, although these interactions are strong, the resulting effective problem can be mapped onto a weakly interacting one, paving the way for the use of perturbation theory. This finding simplifies studies of many-fermion systems under confinement that are beyond reach of state-of-the-art numerical methods. We illustrate this statement by considering an impurity atom in a Fermi gas. |
| title | Effective theory for strongly attractive one-dimensional fermions |
| topic | Quantum Gases Strongly Correlated Electrons Exactly Solvable and Integrable Systems Nuclear Theory |
| url | https://arxiv.org/abs/2412.05915 |