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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]
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Database: Engineering Source
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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]
ISSN:13672630
DOI:10.1088/1367-2630/ae4774