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Entanglement in the Schwinger effect

2025/12/10 by Kranas, Dimitrios, Marchon, Amaury, Pla, Silvia
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2512.10091

Abstract

We analyze entanglement generated by the Schwinger effect using a mode-by-mode formalism for scalar and spinor QED in constant backgrounds. Starting from thermal initial states, we derive compact, closed-form results for bipartite entanglement between particle-antiparticle partners in terms of the Bogoliubov coefficients. For bosons, thermal fluctuations enhance production but suppress quantum correlations: the logarithmic negativity is nonzero only below a (mode-dependent) critical temperature Tc. At fixed T, entanglement appears only above a critical field Ecrit,entang. For fermions, we observe a qualitatively different pattern: at finite T entanglement exists only within a finite window Emin < E < Emax, with a temperature-independent optimal field strength E* that maximizes the logarithmic negativity. Entanglement is vanishing above Tmax=ω/arcsinh(1). We give quantitative estimates for analog experiments, where our entanglement criteria convert directly into concrete temperature and electric field constraints. These findings identify realistic regimes where the quantum character of Schwinger physics may be tested in the laboratory.

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