Entanglement wedge reconstruction and the information paradox

A bstract When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time β/ 2 π log S BH into the past. We can immediately derive the Page curve, using the Ryu-Takayanagi formula, and the Hayden-Preskill decoding criterion, using entanglement wedge reconstruction. Because part of the interior is now encoded in the early Hawking radiation, the decreasing entanglement entropy of the black hole is exactly consistent with the semiclassical bulk entanglement of…

• UD
  U.S. Department of Energy

  Award: DE-SC0019380
• AF
  Air Force Office of Scientific Research

  Awards: FA9550-, FA9550-16-1-0082, FA9550-16, -16-1-, FA9550-16-1, FA9550