Gravitational Wave-Inspired Scrambling Delay in Sachdev-Ye-Kitaev Wormhole Teleportation

Abstract:In the Sachdev-Ye-Kitaev (SYK) model, traversable wormhole teleportation fidelity probes the many-body scrambling of holographic black holes. We apply a gravitational-wave-inspired periodic Floquet deformation derived from the lowest-dimensional bilinear $\text{SYK}_4$ sector to the boundary, thereby characterizing the channel response via exact numerical time evolution at $\beta J = 2$. Re-optimizing under the drive isolates genuine physical effects from calibration mismatch, yielding four main results: (i) distinct perturbative and non-perturbative amplitude regimes separated near $\varepsilon \sim J$; (ii) a natural low-pass filter response, with maximum fidelity suppression at $\omega \lesssim \beta^{-1}$ and monotonic recovery above the thermal scale; (iii) a scrambling delay, evidenced by a delayed fidelity peak under an inspiral chirp ($\Delta t_{\mathrm{scr}}^{(\mathrm{fid})} = +0.11\, J^{-1}$) and independently confirmed by OTOC measurements to grow monotonically with drive amplitude; and (iv) robust, non-zero fidelity suppression across $N \in \{10, 12, 14, 16\}$ Majorana modes. These findings establish that holographic wormholes degrade gracefully under metric-like boundary deformations, providing direct diagnostic signatures for near-term quantum hardware.

arXiv:2603.18509 [quant-ph]

(or arXiv:2603.18509v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2603.18509 Focus to learn more arXiv-issued DOI via DataCite

APS Open Sci. 1, 000122 (2026)

https://doi.org/10.1103/dcsl-w84w Focus to learn more DOI(s) linking to related resources

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