Hawking radiation correlations in Bose Einstein condensates using quantum field theory in curved space

Abstract

The density density correlation function is computed for the Bogoliubov pseudoparticles created in a Bose-Einstein condensate undergoing a black hole flow. On the basis of the gravitational analogy, the method used relies only on quantum field theory in curved spacetime techniques. A comparison with the results obtained by ab initio full condensed matter calculations is given, confirming the validity of the approximation used provided the profile of the flow varies smoothly on scales compared to the condensate healing length.

minor changes, references added, 38 pages, 14 figures

References in corpus (5)

• 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
• The effective field theory treatment of quantum gravity
• Acoustic white holes in flowing atomic Bose-Einstein condensates
• Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes

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• Quantum Decoherence of Phonons in Bose-Einstein Condensates
• Analogue Hawking Effect: BEC and Surface Waves
• Method to compute the stress-energy tensor for a quantized scalar field when a black hole forms from the collapse of a null shell
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• Infrared Effects and the Unruh State
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• Metric-Induced Principal Symbols in Nonlinear Electrodynamics
• Planar Black holes and Entanglement Entropy in Analog Gravity Models
• Looking for traces of Hawking radiation in correlation functions of BEC acoustic black holes