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超流Fermi气体在非简谐势阱中的集体激发
引用本文:鱼自发,吴建鹏,王鹏程,张娇娇,唐荣安,薛具奎.超流Fermi气体在非简谐势阱中的集体激发[J].物理学报,2012,61(1):10301-010301.
作者姓名:鱼自发  吴建鹏  王鹏程  张娇娇  唐荣安  薛具奎
作者单位:西北师范大学物理与电子工程学院, 甘肃省原子分子物理与功能材料重点实验室, 兰州 730070
基金项目:国家自然科学基金(批准号: 10774120, 10975114)、甘肃省自然科学基金(批准号: 1010RJZA012)和西北师范大学科技创新工程基金(批准号: NWNU-KJCXGC-03-48).
摘    要:研究了非谐振势中超流Fermi气体的集体激发. 基于一维超流流体动力学模型, 采用变分法获得了体系从分子Bose-Einstein凝聚端渡越到Cooper对凝聚端时系统的两个低能激发模, 即偶极模和呼吸模. 分析发现: 在整个跨越区偶极模和呼吸模都发生了频移现象, 且在BCS端频移更加显著. 进一步研究发现在不同驱动振幅激发下超流Fermi气体质量中心和宽度变化呈现出了复杂动力学特性, 由于非谐振势的贡献,超流Fermi气体两低能模发生耦合, 使宽度变化产生量子拍频现象, 且拍频频率随着驱动振幅的增加而增大. 这种非线性耦合对外部驱动的响应在幺正区尤其显著. 关键词: 超流Fermi气体 非谐振势 集体激发

关 键 词:超流Fermi气体  非谐振势  集体激发
收稿时间:2011-03-19
修稿时间:4/2/2011 12:00:00 AM

Collective excitations of superfluid Fermi gas in an anharmonic potential
Yu Zi-F,Wu Jian-Peng,Wang Peng-Cheng,Zhang Jiao-Jiao,Tang Rong-An and Xue Ju-Kui.Collective excitations of superfluid Fermi gas in an anharmonic potential[J].Acta Physica Sinica,2012,61(1):10301-010301.
Authors:Yu Zi-F  Wu Jian-Peng  Wang Peng-Cheng  Zhang Jiao-Jiao  Tang Rong-An and Xue Ju-Kui
Institution:Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
Abstract:The collective excitations of a one-dimensional superfluid Fermi gas in an anharmonic trap are investigated. By using the variational approach, the frequency shifts about the dipole mode of the center-of-mass variations and the breathing mode of width variations are derived. It is found that the frequency shift in a unitary region is more significant. Under the excitations of different driving amplitudes, the two low-energy modes are coupled due to the contribution of the quartic item, and the quantum beating phenomenon comes into being. The frequency of beating increases with the driving amplitude. The dynamics of the width exhibits complex characteristics, especially, in the unitary region.
Keywords:superfluid Fermi gas  anharmonic potential  collective excitations
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