Nonlocal nonstabilizerness from holographic Schwinger pair production

We analyze the emergence of nonlocal quantum correlations 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 Rényi 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 nonflat, implying the dynamical generation of nonlocal nonstabilizerness in the pair creation process. Interestingly, the generation of nonlocal nonstabilizerness in the holographic dual is encoded in the free energy of the probe action.