Comment on "Entanglement growth in diffusive systems"

C. W. von Keyserlingk; Frank Pollmann; Tibor Rakovszky

Comment on "Entanglement growth in diffusive systems"

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arxiv 2010.07969 v1 pith:EWKT47ZB submitted 2020-10-15 cond-mat.str-el quant-ph

Tibor Rakovszky , Frank Pollmann , C. W. von Keyserlingk This is my paper · ORCID

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keywords growthsystemsdiffusivedimensionentropiesrenyiapplyarbitrary

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In a recent paper (Commun. Phys. 3, 100) Znidaric studies the growth of higher Renyi entropies in diffusive systems and claims that they generically grow ballistically in time, except for spin-1/2 models in d=1 dimension. Here, we point out that the necessary conditions for sub-ballistic growth of Renyi entropies are in fact much more general, and apply to a large class of systems, including experimentally relevant ones in arbitrary dimension and with larger local Hilbert spaces.

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