Entanglement entropy and mutual information production rates in acoustic black holes

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 ˙S=κ/12, where κ is the sound acceleration on the...

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Bibliographic Details
Main Author: Giovanazzi, Stefano (Author)
Format: Article (Journal)
Language:English
Published: 2011
In: Physical review letters
Year: 2011, Volume: 106, Pages: 1-4
ISSN:1079-7114
DOI:10.1103/PhysRevLett.106.011302
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevLett.106.011302
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevLett.106.011302
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Author Notes:Stefano Giovanazzi
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Summary: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 ˙S=κ/12, where κ 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 ab initio analytical approach in transonic flows of 1D degenerate ideal Fermi fluids.
Item Description:Gesehen am 24.06.2022
Physical Description:Online Resource
ISSN:1079-7114
DOI:10.1103/PhysRevLett.106.011302