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Gradient-based optimal control of the non-Hermitian skin effect in optomechanical arrays — arXiv:2609.04492

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.04492
License (as archived): CC0-1.0
Archived: 2026-10-17T00:01:18.113Z
SHA-256 of the archived text: 97d8b778e4c650e4fc704f74765a714748f13e3582dd66848dca3bd21a080c88
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How to cite

Gradient-based optimal control of the non-Hermitian skin effect in optomechanical arrays — arXiv:2609.04492 — arXiv (en), https://arxiv.org/abs/2609.04492 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_4cfa53efd5cd (Metraipolis archive dc_4cfa53efd5cd, sha256 97d8b778e4c650e4fc704f74765a714748f13e3582dd66848dca3bd21a080c88)

BibTeX

@misc{dc4cfa53efd5cd,
  title = {Gradient-based optimal control of the non-Hermitian skin effect in optomechanical arrays — arXiv:2609.04492},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.04492},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_4cfa53efd5cd; sha256 97d8b778e4c650e4fc704f74765a714748f13e3582dd66848dca3bd21a080c88},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.04492. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In single-port non-Hermitian sensors the Petermann factor offsets susceptibility gains, imposing a strict resource bound on metrological precision. We test whether a multi-port geometry can evade this bound: a double-chain optomechanical ladder with opposing non-reciprocal hoppings spatially separates signal amplification from quantum-noise drainage, and gradient-based differentiable optimal control (DOC) maximizes the resource-normalized Fisher information $\Fnorm$ subject to a Hurwitz-stability constraint. Across system sizes $N\in\{\num{6},\dots,\num{16}\}$ the optimizer returns $\Fnorm>0$ in every case, with two coexisting solution classes whose selection is initialization-dependent: deep-stability configurations achieve $\Fnorm\in\numrange{0.937}{0.987}$ with attenuated transmission, while marginal-stability configurations deliver directional gain $\Gfwd\in\qtyrange{13.5}{15.5}{\dB}$ with isolation $\Iso\in\qtyrange{40}{64}{\dB}$. A multi-restart ensemble reveals these classes are the endpoints of a precision--gain frontier. All solutions remain Hurwitz-stable under \qty{5}{\percent} disorder (\qty{87.5}{\percent} recovery), and the deep-stability advantage survives realistic preamplifier noise at $\Fnormeff\approx\num{0.3}$--$\num{0.5}$. Mapped onto circuit-QED parameters, the architecture enables sub-attonewton force sensing and broadband axion searches across the \qtyrange{1}{10}{\giga\hertz} band.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-07 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.04492 — 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 2026-10-16T23:41:14.286Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-07?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).