Abstract
Recent studies have shown that minimal couplings for massive spinning particles, which in the classical limit reproduce the leading PM Kerr black hole dynamics, leads to an eikonal S-matrix exhibiting spin-entanglement suppression. In this paper we trace this phenomenon to the suppression of spin-flipping components in the S-matrix, known to be the hallmark of minimal coupling in the ultra-relativistic limit. We further generalize the consideration to charged and mathcal{N} = 4 blackholes, demonstrating that in both cases maximal suppression occurs at the extremal limit.
Highlights
Dictates a unique value [27]
By considering the eikonal S-matrix parameterized the worldline Wilson coefficients of one-particle EFT [25, 33], it was found that the “relative spin-entanglement” between in- and out-state vanishes for minimal coupling, i.e. with the Wilson coefficients set to Kerr values
We extend the analysis to couplings that reproduces black hole dynamics with tunable parameters, including Kerr-Newman black hole and N = 4 non-BPS black holes
Summary
We consider the entanglement in spin space caused by a long range scattering process. With a given in-state, we can obtain the out state with the eikonal S-matrix:. Where M is the tree level amplitude and Ua, Ub are the Hilbert space matching factors introduced in [36, 37] to express the out-state with the basis of the in-state spin Hilbert space. With the eikonal amplitude at hand, we can discuss the difference in the von Neumann entropy between the in-state and out-state. The change in entropy is a function of various coupling constants that enters the amplitude. We will construct the tree level eikonal phase as, and give an explanation of why minimal coupling amplitude gives minimal entropy increment in the purely gravitational case We will construct the tree level eikonal phase as in figure 1, and give an explanation of why minimal coupling amplitude gives minimal entropy increment in the purely gravitational case
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