Self-trapped quantum balls in binary Bose-Einstein condensates
Autor(a) principal: | |
---|---|
Data de Publicação: | 2019 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1361-6455/aafb92 http://hdl.handle.net/11449/188804 |
Resumo: | We study the formation of a stable self-trapped spherical quantum ball in a binary Bose-Einstein condensate (BEC) with two-body inter-species attraction and intra-species repulsion employing the beyond-mean-field Lee-Huang-Yang and the three-body interactions. We find that either of these interactions or a combination of them can stabilize the binary BEC quantum ball with very similar stationary results, and for a complete description of the problem both the terms should be considered. These interactions lead to higher-order nonlinearities, e.g. quartic and quintic, respectively, in a nonlinear dynamical equation compared to the cubic nonlinearity of the two-body contact interaction in the mean-field Gross-Pitaevskii equation. The higher-order nonlinearity makes the energy infinitely large at the center of the binary ball and thus avoids its collapse. In addition to the formation of stationary binary balls, we also study a collision between two such balls. At large velocities, the collision is found to be elastic, which turns out to be inelastic as the velocity is lowered. We consider the numerical solution of a beyond-mean-field model for the binary ball as well as a single-mode variational approximation to it in this study. |
id |
UNSP_fd498747d1bd462c4969e5ca50ab45f8 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/188804 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Self-trapped quantum balls in binary Bose-Einstein condensatesBeyond-mean-field interactionBinary Bose-Einstein condensateSelf-bound system in three dimensionsSolitonthree-body interactionWe study the formation of a stable self-trapped spherical quantum ball in a binary Bose-Einstein condensate (BEC) with two-body inter-species attraction and intra-species repulsion employing the beyond-mean-field Lee-Huang-Yang and the three-body interactions. We find that either of these interactions or a combination of them can stabilize the binary BEC quantum ball with very similar stationary results, and for a complete description of the problem both the terms should be considered. These interactions lead to higher-order nonlinearities, e.g. quartic and quintic, respectively, in a nonlinear dynamical equation compared to the cubic nonlinearity of the two-body contact interaction in the mean-field Gross-Pitaevskii equation. The higher-order nonlinearity makes the energy infinitely large at the center of the binary ball and thus avoids its collapse. In addition to the formation of stationary binary balls, we also study a collision between two such balls. At large velocities, the collision is found to be elastic, which turns out to be inelastic as the velocity is lowered. We consider the numerical solution of a beyond-mean-field model for the binary ball as well as a single-mode variational approximation to it in this study.Science and Engineering Research BoardDepartment of Physics Indian Institute of Technology RoparInstituto de Física Teórica Universidade Estadual Paulista - UNESP São PauloInstituto de Física Teórica Universidade Estadual Paulista - UNESP São PauloIndian Institute of Technology RoparUniversidade Estadual Paulista (Unesp)Gautam, SandeepAdhikari, S. K. [UNESP]2019-10-06T16:19:44Z2019-10-06T16:19:44Z2019-02-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1088/1361-6455/aafb92Journal of Physics B: Atomic, Molecular and Optical Physics, v. 52, n. 5, 2019.1361-64550953-4075http://hdl.handle.net/11449/18880410.1088/1361-6455/aafb922-s2.0-85062450805Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics B: Atomic, Molecular and Optical Physicsinfo:eu-repo/semantics/openAccess2021-10-23T20:18:48Zoai:repositorio.unesp.br:11449/188804Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:56:24.988377Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Self-trapped quantum balls in binary Bose-Einstein condensates |
title |
Self-trapped quantum balls in binary Bose-Einstein condensates |
spellingShingle |
Self-trapped quantum balls in binary Bose-Einstein condensates Gautam, Sandeep Beyond-mean-field interaction Binary Bose-Einstein condensate Self-bound system in three dimensions Soliton three-body interaction |
title_short |
Self-trapped quantum balls in binary Bose-Einstein condensates |
title_full |
Self-trapped quantum balls in binary Bose-Einstein condensates |
title_fullStr |
Self-trapped quantum balls in binary Bose-Einstein condensates |
title_full_unstemmed |
Self-trapped quantum balls in binary Bose-Einstein condensates |
title_sort |
Self-trapped quantum balls in binary Bose-Einstein condensates |
author |
Gautam, Sandeep |
author_facet |
Gautam, Sandeep Adhikari, S. K. [UNESP] |
author_role |
author |
author2 |
Adhikari, S. K. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Indian Institute of Technology Ropar Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Gautam, Sandeep Adhikari, S. K. [UNESP] |
dc.subject.por.fl_str_mv |
Beyond-mean-field interaction Binary Bose-Einstein condensate Self-bound system in three dimensions Soliton three-body interaction |
topic |
Beyond-mean-field interaction Binary Bose-Einstein condensate Self-bound system in three dimensions Soliton three-body interaction |
description |
We study the formation of a stable self-trapped spherical quantum ball in a binary Bose-Einstein condensate (BEC) with two-body inter-species attraction and intra-species repulsion employing the beyond-mean-field Lee-Huang-Yang and the three-body interactions. We find that either of these interactions or a combination of them can stabilize the binary BEC quantum ball with very similar stationary results, and for a complete description of the problem both the terms should be considered. These interactions lead to higher-order nonlinearities, e.g. quartic and quintic, respectively, in a nonlinear dynamical equation compared to the cubic nonlinearity of the two-body contact interaction in the mean-field Gross-Pitaevskii equation. The higher-order nonlinearity makes the energy infinitely large at the center of the binary ball and thus avoids its collapse. In addition to the formation of stationary binary balls, we also study a collision between two such balls. At large velocities, the collision is found to be elastic, which turns out to be inelastic as the velocity is lowered. We consider the numerical solution of a beyond-mean-field model for the binary ball as well as a single-mode variational approximation to it in this study. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-06T16:19:44Z 2019-10-06T16:19:44Z 2019-02-13 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1088/1361-6455/aafb92 Journal of Physics B: Atomic, Molecular and Optical Physics, v. 52, n. 5, 2019. 1361-6455 0953-4075 http://hdl.handle.net/11449/188804 10.1088/1361-6455/aafb92 2-s2.0-85062450805 |
url |
http://dx.doi.org/10.1088/1361-6455/aafb92 http://hdl.handle.net/11449/188804 |
identifier_str_mv |
Journal of Physics B: Atomic, Molecular and Optical Physics, v. 52, n. 5, 2019. 1361-6455 0953-4075 10.1088/1361-6455/aafb92 2-s2.0-85062450805 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Physics B: Atomic, Molecular and Optical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128877727318016 |