Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes

Giovanazzi, Stefano

doi:10.1103/PHYSREVLETT.106.011302

Title: Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes

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Abstract

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={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 ab initio analytical approach in transonic flows of 1D degenerate ideal Fermi fluids.

Authors:

Giovanazzi, Stefano ^[1]

Kirchhoff-Institut fuer Physik, Universitaet Heidelberg, Im Neuenheimer Feld 227, 69120 Heidelberg (Germany)

Publication Date:: Fri Jan 07 00:00:00 EST 2011

OSTI Identifier:: 21532221

Resource Type:: Journal Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 106; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevLett.106.011302; (c) 2011 American Institute of Physics; Journal ID: ISSN 0031-9007

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; BLACK HOLES; ELEMENTARY PARTICLES; ENTROPY; FERMI GAS; FLUCTUATIONS; INFORMATION; ONE-DIMENSIONAL CALCULATIONS; QUANTUM ENTANGLEMENT; SOUND WAVES; TRANSONIC FLOW; FLUID FLOW; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES; VARIATIONS

Citation Formats


                    Giovanazzi, Stefano. Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes.  United States: N. p., 2011. 
        Web.  doi:10.1103/PHYSREVLETT.106.011302.

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                    Giovanazzi, Stefano. Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes.  United States.  https://doi.org/10.1103/PHYSREVLETT.106.011302

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                    Giovanazzi, Stefano. 2011.  
        "Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes".  United States.  https://doi.org/10.1103/PHYSREVLETT.106.011302.

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@article{osti_21532221,

  title        = {Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes},

  author       = {Giovanazzi, Stefano},

  abstractNote = {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={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 ab initio analytical approach in transonic flows of 1D degenerate ideal Fermi fluids.},

  doi          = {10.1103/PHYSREVLETT.106.011302},

  url          = {https://www.osti.gov/biblio/21532221},
  journal      = {Physical Review Letters},

  issn         = {0031-9007},

  number       = 1,

  volume       = 106,

  place        = {United States},

  year         = {Fri Jan 07 00:00:00 EST 2011},

  month        = {Fri Jan 07 00:00:00 EST 2011}

}

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