Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes

Stefano Giovanazzi
Phys. Rev. Lett. 106, 011302 – Published 7 January 2011
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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˙=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.

  • Figure
  • Received 26 March 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.011302

© 2011 The American Physical Society

Authors & Affiliations

Stefano Giovanazzi*

  • Kirchhoff-Institut für Physik, Universität Heidelberg, Im Neuenheimer Feld 227, 69120 Heidelberg, Germany

  • *stevbolz@yahoo.it

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Vol. 106, Iss. 1 — 7 January 2011

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