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Dynamics of Renyi entanglement entropy in diffusive qudit systems

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 نشر من قبل Yichen Huang
 تاريخ النشر 2020
  مجال البحث فيزياء
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 تأليف Yichen Huang




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My previous work [arXiv:1902.00977] studied the dynamics of Renyi entanglement entropy $R_alpha$ in local quantum circuits with charge conservation. Initializing the system in a random product state, it was proved that $R_alpha$ with Renyi index $alpha>1$ grows no faster than diffusively (up to a sublogarithmic correction) if charge transport is not faster than diffusive. The proof was given only for qubit or spin-$1/2$ systems. In this note, I extend the proof to qudit systems, i.e., spin systems with local dimension $dge2$.

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