Gap solitons and nonlinear Bloch states in Bose-Einstein condensates with current-dependent interactions

Jintao Xu, Qian Jia, Haibo Qiu, Antonio Muñoz Mateo
{"title":"Gap solitons and nonlinear Bloch states in Bose-Einstein condensates with current-dependent interactions","authors":"Jintao Xu, Qian Jia, Haibo Qiu, Antonio Muñoz Mateo","doi":"10.1103/physreva.108.053313","DOIUrl":null,"url":null,"abstract":"We show how the chiral properties of Bose-Einstein condensates subject to current-density interactions and loaded in optical lattices can be observed in the realization of nonlinear Bloch states, whose spectrum lacks the usual periodic structure. Chirality is also manifested by spatially localized states, or gap solitons, which are found for positive rotation rates of the lattice at the energy gaps between the linear energy bands, whereas for negative rotations they appear in the semi-infinite gap of the linear spectrum. The stability of extended and localized states is checked through the spectrum of linear excitations and nonlinear time evolution of perturbed states, and the phenomenon of Bloch oscillations is explored. Our results are obtained in quasi-one-dimensional ring geometries with feasible experimental parameters.","PeriodicalId":20121,"journal":{"name":"Physical Review","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/physreva.108.053313","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

We show how the chiral properties of Bose-Einstein condensates subject to current-density interactions and loaded in optical lattices can be observed in the realization of nonlinear Bloch states, whose spectrum lacks the usual periodic structure. Chirality is also manifested by spatially localized states, or gap solitons, which are found for positive rotation rates of the lattice at the energy gaps between the linear energy bands, whereas for negative rotations they appear in the semi-infinite gap of the linear spectrum. The stability of extended and localized states is checked through the spectrum of linear excitations and nonlinear time evolution of perturbed states, and the phenomenon of Bloch oscillations is explored. Our results are obtained in quasi-one-dimensional ring geometries with feasible experimental parameters.
具有电流依赖相互作用的玻色-爱因斯坦凝聚中的间隙孤子和非线性布洛赫态
我们展示了如何在非线性布洛赫态的实现中观察到受电流密度相互作用和加载在光学晶格中的玻色-爱因斯坦凝聚体的手性,其光谱缺乏通常的周期结构。手性还表现为空间局域化态或间隙孤子,它们在线性能带之间的能量间隙处发现晶格的正旋转速率,而对于负旋转它们出现在线性谱的半无限间隙中。通过线性激励谱和摄动态的非线性时间演化检验了扩展态和局域态的稳定性,并探讨了布洛赫振荡现象。我们的结果是在具有可行实验参数的准一维环几何上得到的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信