Analogue gravity from Bose-Einstein condensates

@article{Liberati2000AnalogueGF,
  title={Analogue gravity from Bose-Einstein condensates},
  author={Carlos Barcelo Stefano Liberati and Matt Visser},
  journal={Classical and Quantum Gravity},
  year={2000},
  volume={18},
  pages={1137-1156}
}
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 general relativity. We extend the analysis due to Garay et al (2000 Phys. Rev. Lett. 85 4643, 2001 Phys. Rev. A 63 023611). Taking a long-term view, we ask what the ultimate limits of such a system might be. To this end, we consider a very general version of the nonlinear Schr¨ odinger equation (with a 3-tensor… Expand
Gravitational dynamics in Bose Einstein condensates
Analogue models for gravity intend to provide a framework where matter and gravity, as well as their intertwined dynamics, emerge from degrees of freedom that have a priori nothing to do with what weExpand
Probing semiclassical analog gravity in Bose-Einstein condensates with widely tunable interactions
Bose-Einstein condensates BEC’s have recently been the subject of considerable study as possible analog models of general relativity. In particular it was shown that the propagation of phaseExpand
Analogue Space-time Based on 2-Component Bose-Einstein Condensates
Analogue spacetimes are powerful models for probing the fundamental physical aspects of geometry - while one is most typically interested in ultimately reproducing the pseudo-Riemannian geometries ofExpand
Can dark matter be a Bose?Einstein condensate?
We consider the possibility that the dark matter which is required to explain the dynamics of the neutral hydrogen clouds at large distances from the galactic centre could be in the form of aExpand
Spacetime analogue of Bose-Einstein condensates: Bogoliubov-de Gennes formulation
We construct quantum field theory in an analogue curved spacetime in Bose-Einstein condensates based on the Bogoliubov-de Gennes equations, by exactly relating quantum particles in curved spacetimeExpand
Analogue quantum gravity phenomenology from a two-component Bose-Einstein condensate
We present an analogue-emergent spacetime that reproduces the salient features of the most common ansatze used for quantum gravity phenomenology. We do this by investigating a system of two-coupledExpand
Trans-Planckian physics and signature change events in Bose gas hydrodynamics
We present an example of emergent spacetime as the hydrodynamic limit of a more fundamental microscopic theory. The low-energy, long-wavelength limit in our model is dominated by collective variablesExpand
Can Spacetime be a Condensate?
We explore further the proposal [Hu, B. L. (1996). General relativity as geometro-hydrodynamics. (Invited talk at the Second Sakharov Conference, Moscow, May 1996); gr-qc/9607070.] that generalExpand
Analogue model for an expanding universe
Over the last few years numerous papers concerning analogue models of (and for) gravity have been published. It has been shown that the dynamical equations for several condensed matter systems,Expand
Einstein field equations for Bose-Einstein condensates in cosmology
In this work we consider the Gross-Pitaevskii equation for Bose-Einstein condensates (BECs) in a general Riemannian metric. Given initial conditions dictated by an external potential, we consider theExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 105 REFERENCES
Bose-Einstein condensation in a harmonic potential
AbstractWe examine several features of Bose-Einstein condensation (BEC) in an external harmonic potential well. In the thermodynamic limit, there is a phase transition to a spatial Bose-EinsteinExpand
Geon Type Solutions of the Nonlinear {Heisenberg-Klein-Gordon} Equation
As a model for a "unitary" field theory of extended particles we consider the nonlinear Klein-Gordon equation\char22{}associated with a "squared" Heisenberg-Pauli-Weyl nonlinear spinorExpand
Simulation of quantum field theory and gravity in superfluid 3He
Superfluid phases of 3He are quantum liquids with the interacting fermionic and bosonic fields. In many respects they can simulate the interacting quantum fields in the physical vacuum. One canExpand
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
Bose-Einstein condensation
In 1924 the Indian physicist Satyendra Nath Bose sent Einstein a paper in which he derived the Planck law for black-body radiation by treating the photons as a gas of identical particles. EinsteinExpand
Vacuum Effects in Gravitational Fields : Theory and Detectability
In this thesis, we investigate quantum vacuum effects in the presence of gravitational fields. After discussing the general theory of vacuum effects in strong fields we apply it to the relevant issueExpand
Remarks on the Formulation of Quantum Mechanics with Classical Pictures and on Relations between Linear Scalar Fields and Hydrodynamical Fields
The formulation of quantum mechanics in terms of-the picture of trajectory ensemble or of the hydrodynamical picture, developed in a previous article, is further supplemented for some points. Indi­Expand
Trans-Planckian Redshifts and the Substance of the Space-Time River
Trans-Planckian redshifts in cosmology and outside black holes may provide windows on a hypothetical short distance cutoff on the fundamental degrees of freedom. In cosmology, such a cutoff seems toExpand
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
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
...
1
2
3
4
5
...