The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS 3

The paper investigates spread complexity by proposing that a normalized Krylov-Wigner negativity rate diagnoses the second moment of boundary states, capturing wavepacket spreading beyond classical trajectories. It finds a critical dimension where this rate linearly tracks the growth of the Krylov variance, revealing a geometric relationship between proper radial position and momentum.

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