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Silence of Binary Kerr Black Holes
Rafael Aoude1, Ming-Zhi Chung2, Yu-Tin Huang2,3
1PRISMA+ Cluster of Excellence and Mainz Institute for Theoretical Physics, Johannes Gutenberg-Universität Mainz, 55099 Mainz, Germany.
Physical Review Letters
|November 16, 2020
Summary
Classical black hole scattering may not produce quantum entanglement. This study explores spin entanglement in particle scattering, finding minimal couplings generate near-zero entanglement entropy, unlike states with spin multipole moments.
Area of Science:
- Quantum Information Theory
- General Relativity
- High Energy Physics
Background:
- Quantum scattering (S matrix) typically generates entanglement entropy from pure states.
- The existence of a scattering matrix that produces no entanglement is an open question.
Purpose of the Study:
- To investigate if the S matrix for classical black hole scattering generates entanglement.
- To analyze spin entanglement in the scattering of arbitrary spinning particles.
Main Methods:
- Augmenting the S matrix with Thomas-Wigner rotation factors.
- Deriving entanglement entropy from the gravitational induced 2→2 amplitude.
- Analyzing the Eikonal limit for relative entanglement entropy.
Main Results:
- Minimal coupling in spinning particle scattering results in near-zero relative entanglement entropy.
- Non-vanishing spin multipole moments significantly increase entanglement entropy.
- Classical black hole scattering, particularly Kerr black holes, exhibits near-zero entanglement generation.
Conclusions:
- The S matrix for classical black hole scattering is a potential candidate for a nontrivial S matrix that generates no entanglement.
- Minimal couplings of spinning particles uniquely feature near-zero entanglement generation, linking classical and quantum descriptions.
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