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.
arXiv commentOne figure and few comments added. Version accepted for publication in PRD
References in corpus (37)
- Theory of Bose-Einstein condensation in trapped gases
- Analogue Gravity
- Fiber-optical analogue of the event horizon
- The Trans-Planckian Problem of Inflationary Cosmology
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Hawking Spectrum and High Frequency Dispersion
- The Robustness of Inflation to Changes in Super-Planck-Scale Physics
- Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity
- 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?
- Inflation with a Planck-scale frequency cutoff
- Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
- Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
- Black-hole radiation in Bose-Einstein condensates
- Black hole lasers
- On the Universality of the Hawking Effect
- Hawking radiation in an electro-magnetic wave-guide?
- Bogoliubov Theory of acoustic Hawking radiation in Bose-Einstein Condensates
- Event horizons and ergoregions in 3He
- Hawking Radiation from Acoustic Black Holes, Short Distance and Back-Reaction Effects
- Hawking radiation in sonic black holes
- Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method
- Black/White hole radiation from dispersive theories
- Towards the observation of Hawking radiation in Bose--Einstein condensates
- On Slow Light as a Black Hole Analogue
- The stress-energy tensor for trans-Planckian cosmology
- Density correlations and dynamical Casimir emission of Bogoliubov phonons in modulated atomic Bose-Einstein condensates
- Back-Reaction and the Trans-Planckian Problem of Inflation Revisited
- 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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- Understanding Hawking radiation from simple models of atomic Bose-Einstein condensates
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