Birth of a quasi-stationary black hole in an outcoupled Bose-Einstein condensate
arXiv:1407.7469 · doi:10.1088/1367-2630/16/12/123033
Abstract
We study the evolution of an initially confined atom condensate which is progressively outcoupled by gradually lowering the confining barrier on one side. The goal is to identify protocols that best lead to a quasi-stationary sonic black hole separating regions of subsonic and supersonic flow. An optical lattice is found to be more efficient than a single barrier in yielding a long-time stationary flow. This is best achieved if the final conduction band is broad and its minimum not much lower than the initial chemical potential. An optical lattice with a realistic Gaussian envelope yields similar results. We analytically prove and numerically check that, within a spatially coarse-grained description, the sonic horizon is bound to lie right at the envelope maximum. We derive an analytical formula for the Hawking temperature in that setup.
21 pages, 12 figures
References in corpus (10)
- Observation of self-amplifying Hawking radiation in an analog black hole laser
- Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
- Bose-Einstein condensates in 1D optical lattices: compressibility, Bloch bands and elementary excitations
- Quantum entanglement in analogue Hawking radiation, when is the final state non-separable ?
- Nonlinear transport of Bose-Einstein condensates through mesoscopic waveguides
- Resonant Hawking radiation in Bose-Einstein condensates
- Andreev reflection in bosonic condensates
- Matter wave scattering on an amplitude-modulated optical lattice
Cited by in corpus (12)
- Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
- Observation of stationary spontaneous Hawking radiation and the time evolution of an analogue black hole
- Time-dependent study of a black-hole laser in a flowing atomic condensate
- On the existence of steady-state black hole analogues in finite quasi-one-dimensional Bose-Einstein condensates
- Long time universality of black-hole lasers
- The BHL-BCL crossover: from nonlinear to linear quantum amplification
- Non-linear stationary solutions in realistic models for analog black-hole lasers
- Logarithmic catastrophes and Stokes's phenomenon in waves at horizons
- Continuous time crystal from a spontaneous many-body Floquet state
- Quantum transport in the black-hole configuration of an atom condensate outcoupled through an optical lattice
- Self-Similar acoustic white hole solutions in Bose-Einstein condensates and their Borel analysis
- Time Crystal from Self-Amplification of Spontaneous Analog Hawking Radiation