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Diffraction induced quantum chaos in a one-dimensional Bose gas.

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Title: Diffraction induced quantum chaos in a one-dimensional Bose gas.
Authors: Olshanii, M1 (AUTHOR), Aupetit-Diallo, G2 (AUTHOR), Jackson, S G3 (AUTHOR), Vignolo, P4,5 (AUTHOR), Albert, M4,5 (AUTHOR) mathias.albert@univ-cotedazur.fr
Source: New Journal of Physics. 2026, Vol. 28 Issue 3, p1-13. 13p.
Subjects: Quantum chaos, Diffractive scattering, Random matrices, Bose-Einstein gas
Abstract: We investigate the Lieb–Liniger (LL) model of interacting one-dimensional bosons coupled to a localized impurity, modeled by a delta barrier. While the LL 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. [ABSTRACT FROM AUTHOR]
Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 192160667
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  Data: <searchLink fieldCode="DE" term="%22Quantum+chaos%22">Quantum chaos</searchLink><br /><searchLink fieldCode="DE" term="%22Diffractive+scattering%22">Diffractive scattering</searchLink><br /><searchLink fieldCode="DE" term="%22Random+matrices%22">Random matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Bose-Einstein+gas%22">Bose-Einstein gas</searchLink>
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  Data: We investigate the Lieb–Liniger (LL) model of interacting one-dimensional bosons coupled to a localized impurity, modeled by a delta barrier. While the LL 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1088/1367-2630/ae4774
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        Text: English
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        Type: general
      – SubjectFull: Diffractive scattering
        Type: general
      – SubjectFull: Random matrices
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      – SubjectFull: Bose-Einstein gas
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              Text: 2026
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