Quantum entanglement in analogue Hawking radiation, when is the final state non-separable ?

Abstract

We study the quantum entanglement of the quasiparticle pairs emitted by analogue black holes. We use a phenomenological description of the spectra in dispersive media to study the domains in parameter space where the final state is non-separable. In stationary flows, three modes are involved in each sector of fixed frequency, and not two as in homogeneous situations. The third spectator mode acts as an environment for the pairs, and the strength of the coupling significantly reduces the quantum coherence. The non-separability of the pairs emitted by white holes are also considered, and compared with that of black holes.

14 pages, 17 figures

References in corpus (7)

• Measurement of stimulated Hawking emission in an analogue system
• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
• Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
• Black/White hole radiation from dispersive theories
• Violation of the Cauchy-Schwarz inequality with matter waves
• Resonant Hawking radiation in Bose-Einstein condensates
• Decoherence and entropy of primordial fluctuations. I: Formalism and interpretation

Cited by in corpus (6)

• Magnonic black holes
• Quantum signature of analog Hawking radiation in momentum space
• Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables
• Low frequency analogue Hawking radiation: The Bogoliubov-de Gennes model
• Suppression of infrared instability in trans-sonic flows by condensation of zero-frequency short wave length phonons
• Four-wave mixing and enhanced analogue Hawking effect in a nonlinear optical waveguide