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Emergence of chaos with exceptional points in reset-driven Floquet dynamics

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.

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BibTeX
@misc{feng2026emergence,
  title = {{Emergence of chaos with exceptional points in reset-driven Floquet dynamics}},
  author = {Jia-jin Feng and Quntao Zhuang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.11751},
  eprint = {2605.11751},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.11751},
}
RIS
TY  - UNPB
TI  - Emergence of chaos with exceptional points in reset-driven Floquet dynamics
AU  - Jia-jin Feng
AU  - Quntao Zhuang
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2605.11751
UR  - https://arxiv.org/abs/2605.11751
AB  - 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.
ER  -