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Signatures of Chaos in a Quasiperiodically Driven Quantum Impact Oscillator — arXiv:2609.18350

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.18350
License (as archived): CC0-1.0
Archived: 2026-10-15T17:18:16.919Z
SHA-256 of the archived text: 1dab25e6e262264f4f53818283dcaba5aca04828c91374889c8d5af598a34f3e
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Signatures of Chaos in a Quasiperiodically Driven Quantum Impact Oscillator — arXiv:2609.18350 — arXiv (en), https://arxiv.org/abs/2609.18350 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_bfa975dfbe47 (Metraipolis archive dc_bfa975dfbe47, sha256 1dab25e6e262264f4f53818283dcaba5aca04828c91374889c8d5af598a34f3e)

BibTeX

@misc{dcbfa975dfbe47,
  title = {Signatures of Chaos in a Quasiperiodically Driven Quantum Impact Oscillator — arXiv:2609.18350},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.18350},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_bfa975dfbe47; sha256 1dab25e6e262264f4f53818283dcaba5aca04828c91374889c8d5af598a34f3e},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.18350. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We demonstrate the emergence of quantum-chaotic dynamics in a quasiperiodically driven impact oscillator near the grazing condition. While previous studies of the quantum impact oscillator under periodic driving reported strange nonchaotic dynamics, we show that quasiperiodic driving produces robust signatures of chaos. The corresponding classical system undergoes a sharp grazing-induced transition from quasiperiodic motion to chaos, as established by bifurcation analysis, Lyapunov exponents, Fourier spectra, and the 0-1 test. In the quantum system, Shannon-entropy time series exhibit broadband spectra, 0-1 test values close to unity, and predominantly positive finite-time Lyapunov exponents for both rational and irrational driving-frequency ratios. Independent quantum diagnostics reinforce this result: the out-of-time-order correlator (OTOC) displays early-time exponential growth with nearly identical rates, while the golden-ratio drive leads to a substantially faster saturation of the OTOC. Fidelity exhibits an exponential decay regime that is approximately independent of perturbation strength. These results establish quasiperiodic driving near grazing as a mechanism for generating quantum-chaotic behavior and reveal that, although the initial onset of scrambling is largely insensitive to frequency-ratio rationality, the subsequent development of global scrambling is strongly influenced by the degree of irrationality of the drive.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-17 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.18350 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-15T16:20:45.851Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-17?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).