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This study analyzes spectral transitions in reset-driven Floquet quantum channels, demonstrating how exceptional points emerge as symmetry constraints break during the shift from ergodic to chaotic regimes. By linking these theoretical spectral features to observable decay of quantum mutual information on the IBM Quantum Platform, the work provides a concrete experimental pathway for characterizing complex many-body dynamics.
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Emergence of chaos with exceptional points in reset-driven Floquet dynamics

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arXiv:2605.11751v2 Announce Type: replace Abstract: We investigate the spectral structure of reset-driven Floquet quantum channels generated by the Hamiltonian evolution of a many-body system followed by periodic resetting of a bath. By tuning a perturbation parameter in the interacting Aubry-Andr\'e-Harper(AAH) model, we find that exceptional points could emerge in the spectral transition from a symmetry-constrained ergodic regime to a fully chaotic regime. Across this transition, increasing the perturbation causes the real eigenvalues of the channel to drift, coalesce at exceptional points, and bifurcate into complex-conjugate pairs, reflecting the progressive breaking of symmetry constraints in operator space. We further show that the channel spectrum sharply distinguishes chaotic, ergodic, many-body localized, and scarred dynamical regimes. Finally, we connect the leading channel eigenvalues to experimentally accessible probes based on quantum mutual information, establishing a link between the spectral organization of reset-driven quantum channels and observable relaxation dynamics. We implement the protocol on the IBM Quantum Platform and verify that the dynamical differences are reflected in the decay of mutual information.

Abstract:We investigate the spectral structure of reset-driven Floquet quantum channels generated by the Hamiltonian evolution of a many-body system followed by periodic resetting of a bath. By tuning a perturbation parameter in the interacting Aubry-André-Harper(AAH) model, we find that exceptional points could emerge in the spectral transition from a symmetry-constrained ergodic regime to a fully chaotic regime. Across this transition, increasing the perturbation causes the real eigenvalues of the channel to drift, coalesce at exceptional points, and bifurcate into complex-conjugate pairs, reflecting the progressive breaking of symmetry constraints in operator space. We further show that the channel spectrum sharply distinguishes chaotic, ergodic, many-body localized, and scarred dynamical regimes. Finally, we connect the leading channel eigenvalues to experimentally accessible probes based on quantum mutual information, establishing a link between the spectral organization of reset-driven quantum channels and observable relaxation dynamics. We implement the protocol on the IBM Quantum Platform and verify that the dynamical differences are reflected in the decay of mutual information.

arXiv:2605.11751 [quant-ph]

(or arXiv:2605.11751v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2605.11751 Focus to learn more arXiv-issued DOI via DataCite

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