Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: dispersion effects
arXiv:1008.2125 · doi:10.1103/PhysRevD.83.124047
Abstract
In this paper we extend the hydrodynamic results of [1] and study, analytically, the propagation of Bogoliubov phonons on top of Bose-Einstein condensates with step-like discontinuities by taking into account dispersion effects. We focus on the Hawking signal in the density-density correlations in the formation of acoustic black hole-like configurations.
One figure and few comments added. Version accepted for publication in PRD
References in corpus (15)
- Fiber-optical analogue of the event horizon
- 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?
- Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
- Hawking Radiation from Acoustic Black Holes, Short Distance and Back-Reaction Effects
- Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method
- Black/White hole radiation from dispersive theories
- Stability analysis of sonic horizons in Bose-Einstein condensates
- Trans-Planckian physics and signature change events in Bose gas hydrodynamics
- Quasi-normal mode analysis in BEC acoustic black holes
- Superluminal dispersion relations and the Unruh effect
- Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: the hydrodynamic limit
- A momentum-space representation of Green's functions with modified dispersion on ultra-static space-time
- A momentum-space representation of Green's functions with modified dispersion relations on general backgrounds
- New counterterms induced by trans-Planckian physics in semiclassical gravity
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- Stability properties of Hawking radiation in the presence of ultraviolet violation of local Lorentz invariance