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2016

Entanglement Entropy of Scattering Particles

Peschanski, Robi, Seki, Shigenori

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We study the entanglement entropy between the two outgoing particles in an elastic scattering process.

It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our computation.
As a result, we obtain a novel formula that expresses the entanglement entropy in a high energy scattering by the use of physical observables, namely the elastic and total cross sections and a physical bound on the impact parameter range, related to the elastic differential cross-section.

Entanglement Entropy of Scattering Particles · Around

Built on

L. Van Hove, “A Phenomenological Discussion of Inelastic Collisions at High Energies,” Nuovo Cim. 28
1963
Earlier work this paper cites.
A. Białas and L. Van Hove, “Two-Particle and Many-Particle Channels in High-Energy Collisions,” Nuovo Cim. 38
1965
Earlier work this paper cites.
S. Munier, A. M. Stasto and A. H. Mueller, “Impact Parameter Dependent S matrix for Dipole Proton Scattering from Diffractive Meson Electroproduction,” Nucl. Phys. B 603
2001
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement Entropy and Quantum Field Theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.

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Then

L. Lello, D. Boyanovsky and R. Holman, “Entanglement Entropy in Particle Decay,” JHEP 1311
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2013
Later among the works it cites.
S. Seki and S.-J. Sin, “EPR = ER and Scattering Amplitude as Entanglement Entropy Change,” Phys. Lett. B 735
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S. Seki, I.-Y. Park and S.-J. Sin, “Variation of Entanglement Entropy in Scattering Process,” Phys. Lett. B 743
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2015
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M. M. Block, L. Durand, P. Ha and F. Halzen, “Comprehensive Fits to High Energy Data for σ \sigma , ρ \rho , and B B and the Asymptotic Black-disk Limit,” Phys. Rev. D 92
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