The nonlocal magic of a holographic Schwinger pair

TL;DR

This paper explores how nonlocal quantum entanglement emerges during Schwinger pair creation in strong non-Abelian fields using holographic methods, revealing non-flat entanglement spectra and their relation to free energy.

Contribution

It introduces a holographic approach to analyze nonlocal entanglement and magic in pair creation, highlighting the non-flat entanglement spectrum for dimensions greater than two.

Findings

Entanglement spectrum is non-flat for boundary dimension d>2.

Nonlocal magic can be derived from the probe action's free energy.

Holographic methods reveal dynamical nonlocal entanglement in pair creation.

Abstract

We analyze the emergence of nonlocal magic in Schwinger pair creation in strong non-Abelian (chromo)electric fields using holography. The produced quark--antiquark pair is entangled into a color singlet, yet accelerates into causally disconnected Rindler wedges. Using the Casini--Huerta--Myers conformal mapping and the probe-brane framework, we compute the refined R\'enyi entropy and its derivative, which captures the antiflatness of the entanglement spectrum for a spherical bipartition. We find that for boundary spacetime dimension $d>2$, the entanglement spectrum is non-flat, implying the dynamical generation of nonlocal magic in the pair creation process. Interestingly, the nonlocal magic in the holographic dual can be obtained from the free energy of the probe action.