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 $\epsilon \sim J$; (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 ($\Delta t_{\mathrm{scr}}^{(\mathrm{fid})}=+0.11J^{-1}$) 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.

27 pages, 9 Figures