Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes

Journal Article · Fri Jan 07 00:00:00 EST 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.011302· OSTI ID:21532221

Giovanazzi, Stefano ^[1]

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

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.

• OSTI ID: 21532221
• Journal Information: Physical Review Letters, Vol. 106, Issue 1; Other Information: DOI: 10.1103/PhysRevLett.106.011302; (c) 2011 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

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