Scrambling and entangling spinning particles
Ling-Yan Hung (Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200433, China, State Key Laboratory of Surface Physics, Fudan University, Shanghai, 200433, China, Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China); Kaixin Ji (Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200433, China); Tianheng Wang (Institute of Theoretical Physics, Chinese Academy of Science, 55 Zhongguancun Road East, Haidian District, Beijing, 100190, China, Institut für Physik und IRIS Adlershof, Humboldt-Universiät zu Berlin, Zum Großen Windkanal 6, Berlin, 12489, Germany)
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.
