Black Hole Multi-Entropy Curves

• URL: http://arxiv.org/abs/2412.07549v3
• Date: Sat, 15 Feb 2025 14:55:00 GMT
• Title: Black Hole Multi-Entropy Curves
• Authors: Norihiro Iizuka, Simon Lin, Mitsuhiro Nishida,
• Abstract summary: We investigate the entanglement structure of an evaporating black hole and its Hawking radiation.<n>We define a black hole multi-entropy curve, which describes how the multi-entropy changes during the black hole evaporation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the multi-partite entanglement structure of an evaporating black hole and its Hawking radiation by dividing the radiation into finer subsystems. We approximate an evaporating black hole and its radiation with a Haar-random state for this purpose. Using the multi-entropy of these configurations, we define a black hole multi-entropy curve, which describes how the multi-entropy changes during the black hole evaporation. This black hole multi-entropy curve is a natural generalization of the Page curve since the multi-entropy reduces to the entanglement entropy for the bi-partite case. The multi-entropy curve keeps increasing in the early time. It reaches the maximum value at the multi-entropy time, which is later than the Page time, and starts to decrease. However, it does not decrease to zero at the end of the black hole evaporation. This non-zero value of the multi-entropy represents the secret entanglement between Hawking particles.

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