Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes

Details Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes

2011-01-17

arxiv.org/abs/1101.3272v1

Phys.Rev.Lett.106:011302,2011

Physics

Condensed Matter

Other Condensed Matter

4 pages, 1 figure. Supplemental Material (pdf) included in the source of this manuscript

Scientific paper

10.1103/PhysRevLett.106.011302

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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