Tripartite Entanglement of Hawking Radiation in Dispersive Model

Abstract

We investigate entanglement of the Hawking radiation in a dispersive model with subluminal dispersion. In this model, feature of the Hawking radiation is represented by three mode Bogoliubov transformation connecting the in-vacuum state and the out-state. We obtain the exact form of the tripartite in-vacuum state which encodes structure of multipartite entanglement. Bogoliubov coefficients are computed by numerical calculation of the wave equation with subluminal dispersion and it is found that genuine tripartite entanglement persists in whole frequency range up to the cutoff arisen from the subluminal dispersion. In the low frequency region, amount of genuine tripartite entanglement is small compared to bipartite entanglement between the Hawking particle and its partner mode, and the deviation from the thermal spectrum is negligible. On the other hand, in the high frequency region near the cutoff, entanglement is equally shared by two pairs of three modes and the partner picture of the Hawking radiation does not hold.

arXiv comment24 pages, 18 figures, version to appear in Physical Review D

References in corpus (23)

• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Gaussian Quantum Information
• Peres-Horodecki separability criterion for continuous variable systems
• Separability criterion and inseparable mixed states with positive partial transposition
• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• Hawking Spectrum and High Frequency Dispersion
• Hawking Radiation Without Transplanckian Frequencies
• Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
• Black-hole radiation in Bose-Einstein condensates
• On the Universality of the Hawking Effect
• Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates
• Black/White hole radiation from dispersive theories
• Bulk and Brane Decay of a (4+n)-Dimensional Schwarzschild-De-Sitter Black Hole: Scalar Radiation
• The theory of Hawking radiation in laboratory analogues
• Black hole radiation with short distance dispersion, an analytical S-matrix approach
• Quantum entanglement in analogue Hawking radiation, when is the final state non-separable ?
• Generalization of the model of Hawking radiation with modified high frequency dispersion relation
• Low frequency gray-body factors and infrared divergences: rigorous results
• Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect
• Gray-body factor and infrared divergences in 1D BEC acoustic black holes
• Scattering coefficients and gray-body factor for 1D BEC acoustic black holes: exact results
• Gaussian local unitary equivalence of $n$-mode Gaussian states and Gaussian transformations by local operations with classical communication

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