Stability analysis of sonic horizons in Bose-Einstein condensates

@article{Barcel2006StabilityAO,
  title={Stability analysis of sonic horizons in Bose-Einstein condensates},
  author={Carlos Barcel{\'o} and Andr{\'e}s Cano and Luis J Garay and Gil Jannes},
  journal={Physical Review D},
  year={2006},
  volume={74},
  pages={024008}
}
We examine the linear stability of various configurations in Bose-Einstein condensates with steplike sonic horizons. These configurations are chosen in analogy with gravitational systems with a black hole horizon, a white hole horizon, and a combination of both. We discuss the role of different boundary conditions in this stability analysis, paying special attention to their meaning in gravitational terms. We highlight that the stability of a given configuration, not only depends on its… Expand

Figures from this paper

Fate of gravitational collapse in semiclassical gravity
While the outcome of gravitational collapse in classical general relativity is unquestionably a black hole, up to now no full and complete semiclassical description of black hole formation has beenExpand
Instability of the Superfluid Flow as Black-Hole Lasing Effect.
TLDR
In the limit of broad barriers, the continuous spectrum at the origin of the Hawking-like radiation and of the Landau energetic instability is recovered. Expand
Correlation Functions for Black Holes and White Holes in Bose-Einstein Condensates
General Relativity has changed completely our concepts of space and time. The way an object attracts gravitationally is by curving the spacetime geometry. The prediction of the existence of blackExpand
Acoustic white holes in flowing atomic Bose-Einstein condensates
We study acoustic white holes in a steadily flowing atomic Bose-Einstein condensate. A white hole configuration is obtained when the flow velocity goes from a super-sonic value in the upstream regionExpand
Analogue gravitational phenomena in Bose-Einstein condensates
Analogue gravity is based on the simple observation that perturbations propagating in several physical systems can be described by a quantum field theory in a curved spacetime. While phenomena likeExpand
Resonant Hawking radiation in Bose–Einstein condensates
We study double-barrier interfaces separating regions of asymptotically subsonic and supersonic flow of Bose-condensed atoms. These setups contain at least one black hole sonic horizon from which theExpand
On the resonances of a rotating black hole analogue
Under certain conditions, sound waves in a fluid may be governed by a Klein-Gordon equation on an `effective spacetime' determined by the background flow properties. Here we consider the drainingExpand
High Overtone Quasinormal Modes of Analog Black Holes and the Small Scale Structure of the Background Fluid
The goal of this paper is to build a foundation for, and explore the possibility of, using high overtone quasinormal modes of analog black holes to probe the small scale (microscopic) structure of aExpand
Non-linear stationary solutions in realistic models for analog black-hole lasers
From both a theoretical and an experimental point of view, Bose–Einstein condensates are good candidates for studying gravitational analogues of black holes and black-hole lasers. In particular, aExpand
Black hole lasers, a mode analysis
We show that the black hole laser effect discovered by Corley and Jacobson should be described in terms of frequency eigenmodes that are spatially bound. The spectrum contains a discrete and finiteExpand
...
1
2
3
4
...

References

SHOWING 1-10 OF 34 REFERENCES
Sonic black holes in dilute Bose-Einstein condensates
The sonic analog of a gravitational black hole in dilute-gas Bose-Einstein condensates is investigated. It is shown that there exist both dynamically stable and unstable configurations which, in theExpand
Black Holes in Bose–Einstein Condensates
It is shown that there exist both dynamically stable and unstable dilute-gas Bose–Einstein condensates that, in the hydrodynamic limit, exhibit a behavior completely analogous to that ofExpand
Sonic analog of gravitational black holes in bose-einstein condensates
It is shown that, in dilute-gas Bose-Einstein condensates, there exist both dynamically stable and unstable configurations which, in the hydrodynamic limit, exhibit a behavior resembling that ofExpand
Theory of elementary excitations in unstable Bose-Einstein condensates
Like classical fluids, quantum gases may suffer from hydrodynamic instabilities. Our paper develops a quantum version of the classical stability analysis in fluids, the Bogoliubov theory ofExpand
Event horizon of a Schwarzschild black hole: magnifying glass for Planck length physics
An attempt is made to describe the "thermodynamics" of semiclassical spacetime without specifying the detailed "molecular structure" of quantum spacetime, using the known properties of black holes. IExpand
Theory of Bose-Einstein condensation in trapped gases
The phenomenon of Bose-Einstein condensation of dilute gases in traps is reviewed from a theoretical perspective. Mean-field theory provides a framework to understand the main features of theExpand
Acoustic black holes: horizons, ergospheres and Hawking radiation
It is a deceptively simple question to ask how acoustic disturbances propagate in a non-homogeneous flowing fluid. Subject to suitable restrictions, this question can be answered by invoking theExpand
Quasi-Normal Modes of Stars and Black Holes
TLDR
The successes, as well as the limits, of perturbation theory are presented, and its role in the emerging era of numerical relativity and supercomputers is discussed. Expand
Analogue gravity from Bose-Einstein condensates
We analyse prospects for the use of Bose–Einstein condensates as condensedmatter systems suitable for generating a generic ‘effective metric’, and for mimicking kinematic aspects of generalExpand
Black hole lasers
High frequency dispersion does not alter the low frequency spectrum of Hawking radiation from a single black hole horizon, whether the dispersion entails subluminal or superluminal group velocities.Expand
...
1
2
3
4
...