Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model

Coutant, Antonin and Weinfurtner, Silke (2018) Low-frequency analogue Hawking radiation: The Bogoliubov-de Gennes model. Physical Review D, 97 (2). 025006. ISSN 2470-0029

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Abstract

We analytically study the low-frequency properties of the analogue Hawking effect in Bose-Einstein condensates. We show that in one-dimensional flows displaying an analogue horizon, the Hawking effect is dominant in the low-frequency regime. This happens despite non vanishing greybody factors, that is, the coupling of the Hawking mode and its partner to the mode propagating with the flow. To show this, we obtained analytical expressions for the scattering coefficients, in general flows and taking into account the full Bogoliubov dispersion relation. We discuss the obtained expressions for the greybody factors. In particular, we show that they can be significantly decreased if the flow obeys a conformal coupling condition. We argue that in the presence of a small but non-zero temperature, reducing greybody factors greatly facilitates the observation of entanglement, that is, establishing that the state of the Hawking mode and its partner is non-separable.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1103/PhysRevD.97.025006
Depositing User: Eprints, Support
Date Deposited: 29 Jan 2018 12:15
Last Modified: 30 Jan 2018 11:55
URI: http://eprints.nottingham.ac.uk/id/eprint/49382

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