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Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes

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 نشر من قبل Stefano Giovanazzi
 تاريخ النشر 2011
  مجال البحث فيزياء
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A method to investigate acoustic Hawking radiation is proposed, where entanglement entropy and mutual information are measured from the fluctuations of the number of particles. The rate of entropy radiated per one-dimensional (1D) channel is given by $dot{S}=kappa/12$, where $kappa$ is the sound acceleration on the sonic horizon. This entropy production is accompanied by a corresponding formation of mutual information to ensure the overall conservation of information. The predictions are confirmed using an emph{ab initio} analytical approach in transonic flows of 1D degenerate ideal Fermi fluids.



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