Birth of a quasi-stationary black hole in an outcoupled Bose–Einstein condensate

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 o...

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Main Authors: J R M de Nova, D Guéry-Odelin, F Sols, I Zapata
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/12/123033
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author J R M de Nova
D Guéry-Odelin
F Sols
I Zapata
author_facet J R M de Nova
D Guéry-Odelin
F Sols
I Zapata
author_sort J R M de Nova
collection DOAJ
description 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 is 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.
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spelling doaj.art-57d3bc278eb940ffab61656d8a41c9cf2023-08-08T11:25:42ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161212303310.1088/1367-2630/16/12/123033Birth of a quasi-stationary black hole in an outcoupled Bose–Einstein condensateJ R M de Nova0D Guéry-Odelin1F Sols2I Zapata3Departamento de Fisica de Materiales, U niversidad Complutense de Madrid , E-28040 Madrid, SpainUniversité de Toulouse , UPS, Laboratoire Collisions Agrégats Réactivité, IRSAMC, and CNRS, UMR 5589, F-31062 Toulouse, FranceDepartamento de Fisica de Materiales, U niversidad Complutense de Madrid , E-28040 Madrid, SpainDepartamento de Fisica de Materiales, U niversidad Complutense de Madrid , E-28040 Madrid, SpainWe 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 is 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.https://doi.org/10.1088/1367-2630/16/12/123033Hawking radiationoptical latticeatomtronics03.75.Kk04.62.+v04.70.Dy
spellingShingle J R M de Nova
D Guéry-Odelin
F Sols
I Zapata
Birth of a quasi-stationary black hole in an outcoupled Bose–Einstein condensate
New Journal of Physics
Hawking radiation
optical lattice
atomtronics
03.75.Kk
04.62.+v
04.70.Dy
title Birth of a quasi-stationary black hole in an outcoupled Bose–Einstein condensate
title_full Birth of a quasi-stationary black hole in an outcoupled Bose–Einstein condensate
title_fullStr Birth of a quasi-stationary black hole in an outcoupled Bose–Einstein condensate
title_full_unstemmed Birth of a quasi-stationary black hole in an outcoupled Bose–Einstein condensate
title_short Birth of a quasi-stationary black hole in an outcoupled Bose–Einstein condensate
title_sort birth of a quasi stationary black hole in an outcoupled bose einstein condensate
topic Hawking radiation
optical lattice
atomtronics
03.75.Kk
04.62.+v
04.70.Dy
url https://doi.org/10.1088/1367-2630/16/12/123033
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AT fsols birthofaquasistationaryblackholeinanoutcoupledboseeinsteincondensate
AT izapata birthofaquasistationaryblackholeinanoutcoupledboseeinsteincondensate