Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes

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 $\dot{S}=\kappa /12$, 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.

arXiv comment4 pages, 1 figure. Supplemental Material (pdf) included in the source of this manuscript

References in corpus (9)

• Geometric and Renormalized Entropy in Conformal Field Theory
• Analogue Gravity
• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• Quantum Noise as an Entanglement Meter
• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
• Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
• Hawking radiation in sonic black holes
• Suppression of Density Fluctuations in a Quantum Degenerate Fermi Gas
• Conditions for one-dimensional supersonic flow of quantum gases

Cited by in corpus (24)

• Observation of stationary spontaneous Hawking radiation and the time evolution of an analogue black hole
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• The theory of Hawking radiation in laboratory analogues
• Resonances of a rotating black hole analogue
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
• The entropy of an acoustic black hole in Bose-Einstein condensates
• Hawking radiation correlations in Bose Einstein condensates using quantum field theory in curved space
• Stimulating the Quantum Aspects of an Optical Analog White-Black Hole
• Quantum-corrected two-dimensional Horava-Lifshitz black hole entropy
• Quantum-corrected rotating acoustic black holes in Lorentz-violating background
• Survey of analogue spacetimes
• Accelerated detectors in Dirac vacuum: the effects of horizon fluctuations
• Scalar Quantum Field Theory in Disordered Media
• The entropy of an acoustic black hole in Bose-Einstein condensates: transverse modes as a cure for divergences
• Violation of Bell inequalities in an analogue black hole
• Laval nozzle as an acoustic analogue of a massive field
• Thermodynamics of acoustic black holes in two dimensions
• Hawking radiation and stability of the canonical acoustic black holes
• Stochastic motion in an expanding noncommutative fluid
• Analog curved spacetimes in the reversed dissipation regime of cavity optomechanics
• Modified metrics of acoustic black holes: A review
• Analogue quantum simulation of the Hawking effect in a polariton superfluid
• Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole