For weak scattering, the von Neumann entropy of a subsystem increases whenever the initial local state has a zero eigenvalue and the full state commutes with the local spectral projectors, provided scattering connects the kernel to the other subsystem.
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Entropy from scattering in weakly interacting systems
For weak scattering, the von Neumann entropy of a subsystem increases whenever the initial local state has a zero eigenvalue and the full state commutes with the local spectral projectors, provided scattering connects the kernel to the other subsystem.