Size Winding Mechanism beyond Maximal Chaos
arXiv:2401.09524 · doi:10.1007/JHEP11(2024)044
Abstract
The concept of information scrambling elucidates the dispersion of local information in quantum many-body systems, offering insights into various physical phenomena such as wormhole teleportation. This phenomenon has spurred extensive theoretical and experimental investigations. Among these, the size-winding mechanism emerges as a valuable diagnostic tool for optimizing signal detection. In this work, we establish a computational framework for determining the winding size distribution in large- quantum systems with all-to-all interactions, utilizing the scramblon effective theory. We obtain the winding size distribution for the large- SYK model across the entire time domain. Notably, we unveil that the manifestation of size winding results from a universal phase factor in the scramblon propagator, highlighting the significance of the Lyapunov exponent. These findings contribute to a sharp and precise connection between operator dynamics and the phenomenon of wormhole teleportation.
arXiv commentv2: 15 pages, 5 figures. v1: 6 pages, 4 figures, Supplemental Material: 4 pages, 1 figure
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