Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential

We study the sonic horizon phenomena of the oscillating Bose-Einstein condensates in isotropic harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, we derive the original analytical formula for the criteria and lifetime of the formation of the sonic horizon, demon...

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Autores principales: Wang, Ying, Zhou, Yu, Zhou, Shuyu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5138632/
https://www.ncbi.nlm.nih.gov/pubmed/27922129
http://dx.doi.org/10.1038/srep38512
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author Wang, Ying
Zhou, Yu
Zhou, Shuyu
author_facet Wang, Ying
Zhou, Yu
Zhou, Shuyu
author_sort Wang, Ying
collection PubMed
description We study the sonic horizon phenomena of the oscillating Bose-Einstein condensates in isotropic harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, we derive the original analytical formula for the criteria and lifetime of the formation of the sonic horizon, demonstrating pictorially the interaction parameter dependence for the occur- rence of the sonic horizon and damping effect of the system distribution width. Our analytical results corroborate quantitatively the particular features of the sonic horizon reported in previous numerical study.
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spelling pubmed-51386322016-12-16 Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential Wang, Ying Zhou, Yu Zhou, Shuyu Sci Rep Article We study the sonic horizon phenomena of the oscillating Bose-Einstein condensates in isotropic harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, we derive the original analytical formula for the criteria and lifetime of the formation of the sonic horizon, demonstrating pictorially the interaction parameter dependence for the occur- rence of the sonic horizon and damping effect of the system distribution width. Our analytical results corroborate quantitatively the particular features of the sonic horizon reported in previous numerical study. Nature Publishing Group 2016-12-06 /pmc/articles/PMC5138632/ /pubmed/27922129 http://dx.doi.org/10.1038/srep38512 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Wang, Ying
Zhou, Yu
Zhou, Shuyu
Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential
title Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential
title_full Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential
title_fullStr Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential
title_full_unstemmed Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential
title_short Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential
title_sort sonic horizon formation for oscillating bose-einstein condensates in isotropic harmonic potential
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5138632/
https://www.ncbi.nlm.nih.gov/pubmed/27922129
http://dx.doi.org/10.1038/srep38512
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AT zhouyu sonichorizonformationforoscillatingboseeinsteincondensatesinisotropicharmonicpotential
AT zhoushuyu sonichorizonformationforoscillatingboseeinsteincondensatesinisotropicharmonicpotential

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