Dipole Oscillations in Bose - Fermi Mixture in the Time-Dependent Grosspitaevskii and Vlaso.pdf

下载文档

1
0
约4.16万字
约 30页
2017-04-13 发布于江苏
举报
版权申诉
保障服务

Dipole Oscillations in Bose - Fermi Mixture in the Time-Dependent Grosspitaevskii and Vlaso.pdf

1、本文档共30页，可阅读全部内容。
2、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。
3、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。

Dipole Oscillations in Bose - Fermi Mixture in the Time-Dependent Grosspitaevskii and Vlaso

a r X i v : 0 7 0 6 .1 1 2 8 v 3 [ c o n d - m a t .o t h e r ] 1 7 O c t 2 0 0 7 Dipole Oscillations in Bose - Fermi Mixture in the Time-Dependent Grosspitaevskii and Vlasov equations Tomoyuki Maruyama1, 2, 3 and George F. Bertsch1 1 Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195, USA 2College of Bioresource Sciences, Nihon University, Fujisawa 252-8510, Japan 3Advanced Science Research Center, Japan Atomic Energy Research Institute, Tokai 319-1195, Japan (Dated: February 1, 2008) We study the dipole collective oscillations in bose-fermi mixtures in a dynamical time- dependent approach, which is formulated with the time-dependent Gross-Pitaevskii equation and the Vlasov equation. While the bose gas oscillates monotonously, the fermion oscillation shows a beat and damping. We find big differences in behaviors of fermion oscillation between the time-dependent approach and usual approaches such as the sum-rule approach. When the amplitude is not minimal, the dipole oscillation of the fermi gas cannot be described with a simple center-of-mass motion. PACS numbers: 03.75.Kk,67.57.Jj,51.10.+y I. INTRODUCTION Over the last several years, there have been significant progresses in the production of ultracold gases, which realize the Bose-Einstein condensates (BEC) [1, 2, 3, 4], two boson mixtures [5], degenerate atomic Fermi gases [6], and Bose-Fermi (BF) mixing gases [7, 8, 9]. In particular the BF mixtures attract physical interest as a typical example in which particles obeying different statistics are intermingled. Using this system we have a very big opportunity to get new various knowledge about many body systems because we can make a large variety of combinations of atomic species and control the atomic interactions using the Feshbach resonance [10]. Theoretical studies of the BF mixtures have been done for static properties [11, 12, 13, 14, 15, 16], for the phase diagram and phase separation [17, 18, 19, 20], for stability