Entanglement entropy in a time-dependent holographic Schwinger pair creation

We analyze the entanglement of a Schwinger pair created by a time-dependent pulse. In the semiclassical approximation, the pair creation by a pulse of external electric field is captured by a periodic world line instanton. At strong gauge coupling, the gauge-gravity dual world sheet instanton exhibits a falling wormhole in AdS. We identify the tunneling time at the boundary with the inverse Unruh temperature, and derive the pertinent entanglement entropy between the created pair using thermodynamics. The entanglement entropy is enhanced by the subbarrier tunneling process, and partly depleted by the radiation in the postbarrier process.