Breathing Modes in Rotating Bose-Condensed Gas: An Exact Diagonalization Study

Journal of Atomic, Molecular, Condensate and Nano Physics Pub Date : 2015-08-10 DOI:10.26713/jamcnp.v2i2.335

M. Imran, M. Ahsan

{"title":"Breathing Modes in Rotating Bose-Condensed Gas: An Exact Diagonalization Study","authors":"M. Imran, M. Ahsan","doi":"10.26713/jamcnp.v2i2.335","DOIUrl":null,"url":null,"abstract":"We present an exact diagonalization study of the breathing mode collective excitations for a rotating Bose-Einstein condensate of $N=10$ spinless bosons interacting via repulsive finite-range Gaussian potential and harmonically confined in quasi-two-dimension. The yrast state and the low-lying excited states are variationally obtained in given subspaces of the quantized total angular momentum $L$ employing the beyond lowest Landau level approximation in slowly rotating regime with $0 \\le L < 2N$. For a given $L$, the low-energy eigenspectra (bands) are obtained in weakly to moderately interacting regime. Further, for a given interaction, the split in low-lying eigenenergies with increasing $L$ is the precursor to spontaneous symmetry breaking of the axisymmetry associated with the entry of the first vortex. With increase in repulsive interaction, the value of the first breathing mode increases for stable total angular momentum states $L=0~\\mbox{and}~N$, but decreases for intermediate $0<L<N$ metastable states. The position of the observed first breathing modes in the eigenspectrum remains unchanged as the interaction is varied over several orders of magnitude.","PeriodicalId":239838,"journal":{"name":"Journal of Atomic, Molecular, Condensate and Nano Physics","volume":"53 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Atomic, Molecular, Condensate and Nano Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26713/jamcnp.v2i2.335","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

Abstract

We present an exact diagonalization study of the breathing mode collective excitations for a rotating Bose-Einstein condensate of $N=10$ spinless bosons interacting via repulsive finite-range Gaussian potential and harmonically confined in quasi-two-dimension. The yrast state and the low-lying excited states are variationally obtained in given subspaces of the quantized total angular momentum $L$ employing the beyond lowest Landau level approximation in slowly rotating regime with $0 \le L < 2N$. For a given $L$, the low-energy eigenspectra (bands) are obtained in weakly to moderately interacting regime. Further, for a given interaction, the split in low-lying eigenenergies with increasing $L$ is the precursor to spontaneous symmetry breaking of the axisymmetry associated with the entry of the first vortex. With increase in repulsive interaction, the value of the first breathing mode increases for stable total angular momentum states $L=0~\mbox{and}~N$, but decreases for intermediate $0

查看原文本刊更多论文

旋转玻色冷凝气体的呼吸模式:精确对角化研究

我们对$N=10$无自旋玻色子的旋转玻色-爱因斯坦凝聚体的呼吸模式集体激发进行了精确对角化研究，这些玻色子通过排斥性有限范围高斯势相互作用，并被谐波限制在准二维空间中。在给定的量子化总角动量L$的子空间中，采用超最低朗道能级近似，得到了量子化总角动量L$的激发态和低位激发态。对于给定的$L$，可以在弱到中等相互作用区得到低能特征谱(带)。此外，对于给定的相互作用，低洼本征能随L$的增加而分裂是与第一涡旋进入相关的轴对称的自发对称性破缺的前兆。随着斥力相互作用的增加，总角动量稳定态$L=0~\mbox{和}~N$的第一呼吸模式值增大，而中间态$0

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

Journal of Atomic, Molecular, Condensate and Nano Physics

自引率

0.00%

发文量

京公网安备 11010802042870号

Book学术文献互助群
群号：481959085