20290 2208.12128 10.1007/JHEP02(2023)197 197 197 Scrambling and entangling spinning particles Regular Article - Theoretical Physics 1 30 2023 2 20 2022 9 22 2023 2 2 2023 2 7 2023 2 20 The Author(s) 2023 Open Access. This article is distributed under the terms of the Creative Commons Attribution License ( CC-BY 4.0 ), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. 13130 2023 2023 2 2 Ling-Yan Hung elektron.janethung@gmail.com Kaixin Ji kxji21@m.fudan.edu.cn Tianheng Wang wangtianheng@itp.ac.cn grid.12527.33 0000 0001 0662 3178 Yau Mathematical Sciences Center (YMSC) Tsinghua University Beijing 100084 China grid.8547.e 0000 0001 0125 2443 Department of Physics and Center for Field Theory and Particle Physics Fudan University Shanghai 200433 China grid.8547.e 0000 0001 0125 2443 State Key Laboratory of Surface Physics Fudan University Shanghai 200433 China grid.9227.e 0000000119573309 Institute of Theoretical Physics Chinese Academy of Science 55 Zhongguancun Road East Haidian District 100190 Beijing China grid.7468.d 0000 0001 2248 7639 Institut für Physik und IRIS Adlershof Humboldt-Universiät zu Berlin Zum Großen Windkanal 6 12489 Berlin Germany Abstract In this paper we revisit the gravitational eikonal amplitudes of two scattering spinning particles and inspect their scrambling power in the spin spaces that is quantified through the tripartite information. We found that in the non-relativistic limit and a special high-energy limit the leading contribution is a quantity that is universal and theory independent. The minimal coupling is singled out with minimal scrambling in a different high momenta limit. We also inspected the initial state dependence of entanglement generation and found that the spin coherent state with vanishing spin may not necessarily be the hardest to entangle. Interestingly, among a family of mixed states, the only P-rep state there known to be the best approximation of classical mixed states was singled out as one with minimal entanglement generated. Keywords Black Holes Scattering Amplitudes ArXiv ePrint: 2208.12128