Diffraction induced quantum chaos in a one-dimensional Bose gas
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911491560570880 |
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| author | Olshanii, M. Aupetit-Diallo, G. Jackson, S. G. Vignolo, P. Albert, M. |
| author_facet | Olshanii, M. Aupetit-Diallo, G. Jackson, S. G. Vignolo, P. Albert, M. |
| contents | We investigate the Lieb--Liniger model of interacting one-dimensional bosons coupled to a localized impurity, modeled by a delta barrier. While the Lieb--Liniger gas is integrable, the impurity breaks integrability and induces a transition towards quantum chaos. We show that the low-energy spectrum exhibits random-matrix statistics, in striking contrast to the Bohigas--Giannoni--Schmit conjecture, where chaotic behavior typically emerges at high energy. For two bosons, the odd-parity sector remains integrable, whereas the even-parity sector displays clear signatures of chaos at low energy and a crossover back to quasi-integrable behavior at higher energies. For three bosons, both parity sectors exhibit spectral statistics close to chaos at low energy. We argue that this unconventional form of few-body quantum chaos originates from diffractive processes induced by the impurity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_13385 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Diffraction induced quantum chaos in a one-dimensional Bose gas Olshanii, M. Aupetit-Diallo, G. Jackson, S. G. Vignolo, P. Albert, M. Quantum Gases Quantum Physics We investigate the Lieb--Liniger model of interacting one-dimensional bosons coupled to a localized impurity, modeled by a delta barrier. While the Lieb--Liniger gas is integrable, the impurity breaks integrability and induces a transition towards quantum chaos. We show that the low-energy spectrum exhibits random-matrix statistics, in striking contrast to the Bohigas--Giannoni--Schmit conjecture, where chaotic behavior typically emerges at high energy. For two bosons, the odd-parity sector remains integrable, whereas the even-parity sector displays clear signatures of chaos at low energy and a crossover back to quasi-integrable behavior at higher energies. For three bosons, both parity sectors exhibit spectral statistics close to chaos at low energy. We argue that this unconventional form of few-body quantum chaos originates from diffractive processes induced by the impurity. |
| title | Diffraction induced quantum chaos in a one-dimensional Bose gas |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2511.13385 |