版权说明:本文档由用户提供并上传,收益归属内容提供方,若内容存在侵权,请进行举报或认领
文档简介
1、Dynamics of Dipolar Spinor Bose-Einstein CondensatesYunbo Zhang Institute of Theoretical Physics, Shanxi University, Taiyuan Hong Kong Meeting13-16 Dec 2005.CollaborationJiu-Qing Liang, Shanxi University, ChinaLi You, GeogiaTech, USAKalle-Antti Suominen, University of Turku, FinlandShu Chen, IOP, CA
2、S, ChinaH.J.W. Mller-Kirsten, University of Kaiserslautern, G/yunbo/index.html.OUTLINESpinor Dipolar CondensatesTunneling and Self-TrappingModel and Spin-mixing DynamicsSummary.Laser Cooling Evaporative Cooling BEC.Only low-field seekers are magnetically trappable!Hyperfine-Zeeman s
3、tates(Breit-Rabi Formula). T.-L. Ho, Phys. Rev. Lett, 81 742 (1998). T. Ohmi and K. Machida, J. Phys. Soc. Jpn. 67 1822 (1998).Spinor-1 condensatedensity-density collisional interactionspin-spin collisional interactions-wave scattering length for the two spin-1 atoms in the combined symmetric channe
4、l of total spin f. C.K. Law, H. Pu and N.P. Bigelow, Phys. Rev. Lett, 81 5257 (1998). Two conserved quantities (1) total atom numbers (2) total hyperfine spin Two symmetries (1) U(1) symmetry (2) SO(3) spin rotation symmetryPhysical PrinciplesGauge transformation spin rotation.The intrinsic magnetic
5、 dipole moment of an atom is related to its total angular momentum as , with F being the angular momentum operator.Magnetic dipole-dipole interactionThe magnetic dipole-dipole interaction MDDI is unit vectormagnetic permeability of the vacuum.Dipolar Spinor CondensatesSince the spin degree of freedo
6、m becomes accessible, MDDI which arise from intrinsic or induced field of magnetic dipole moment should be taken into account in addition to the usual s-wave contact interactions. S. Yi, L. You and H. Pu, Phys. Rev. Lett. 93, 040403 (2004).Long-rangevectorizationand.Experimental AdvancesA. Griesmaie
7、r, J. Werner, S. Hensler, J. Stuhler and T. Pfau, Phys. Rev. Lett. 94, 160401 (2005); J. Stuhler, A. Griesmaier, T. Koch, M. Fattori, T. Pfau, S. Giovanazzi, P. Pedri, and L. Santos, Phys. Rev. Lett. 95, 150406 (2005); Cr-52Tc700nKN50,000 MDDI of is a factor of 36 higher than that for alkali atoms.
8、MDDI breaks SO(3) symmetry into axial symmetry. Both the sign and the magnitude of MDDI are highly tunable.52Cr, spin-3 Boson J=3, I=0F=3.Higher Hyperfine Spin CondensatesSpin-1: 87Rb, 23Na FM, AFMSpin-2: 85Rb FM, AFM, CyclicSpin-3: 133Cs, 52Cr Biaxial or Uniaxial Spin NematicHo, cond-mat/0511751Mac
9、hida, cond-mat/0511052Santos, cond-mat/0511634Why interesting?Non-Abelian topological defectsBiaxial Nematic Liquid CrystalSpin-2 Cyclic phaseSpin-3: definitely!.conjugate variablesequation of motionclassical HamiltonianMacroscopic Quantum Self Trapping. MQT (macroscopic quantum tunneling): the atom
10、ic population is periodically exchanged which is analogous to the Josephson sinusoidal oscillation. MQST (macroscopic quantum self-trapping): when the nonlinearity excesses some critical value, population imbalance is self-locked to the initial value, which corresponds to the localization of the ato
11、mic population in one of components in the form of small-amplitude oscillations.M. Albiez, R. Gati, J. Folling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett. 95, 010402(2005).Experimental Observation.Spin mixing dynamics: Modelsingle mode approximationcanonical variables Rong Che
12、ng, Jiu-Qing Liang, Yunbo Zhang, J. Phys. B: At. Mol. Opt. Phys. 38 (2005) 25692578mean-field theorytime-dependent variational principlemf = +1 0 -1.Equation of MotionDefineHamiltonian becomes cyclic in the coordinates and .Non-rigid pendulum.time timeSpin-Mixing Dynamics.time timeSpin-Mixing Dynami
13、cs.The distinction between the two dynamical regimes -MQT and MQST- becomes apparent here. In the former regime the dynamical variables follow a closed phase space trajectory, while, in the latter they follow an open trajectory with an unbound phase.Constant energy contours.We show, the dynamics is sensitive not only to the spin-exchange interaction (SEI) and magnetic dipole-dipole interaction (MDDI) but also to the initial atom number distribution and relative phase among three compo
温馨提示
- 1. 本站所有资源如无特殊说明,都需要本地电脑安装OFFICE2007和PDF阅读器。图纸软件为CAD,CAXA,PROE,UG,SolidWorks等.压缩文件请下载最新的WinRAR软件解压。
- 2. 本站的文档不包含任何第三方提供的附件图纸等,如果需要附件,请联系上传者。文件的所有权益归上传用户所有。
- 3. 本站RAR压缩包中若带图纸,网页内容里面会有图纸预览,若没有图纸预览就没有图纸。
- 4. 未经权益所有人同意不得将文件中的内容挪作商业或盈利用途。
- 5. 人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对用户上传分享的文档内容本身不做任何修改或编辑,并不能对任何下载内容负责。
- 6. 下载文件中如有侵权或不适当内容,请与我们联系,我们立即纠正。
- 7. 本站不保证下载资源的准确性、安全性和完整性, 同时也不承担用户因使用这些下载资源对自己和他人造成任何形式的伤害或损失。
最新文档
- 2024年环型荧光灯管项目建议书
- 2024年存包柜项目发展计划
- 2024年空心桨叶干燥机项目建议书
- 2024年NITI基记忆合金材料项目建议书
- 2024年电子油门踏板项目合作计划书
- 中药执业药师中药学专业知识(二)模拟题300
- 西药执业药师药学综合知识与技能模拟题293
- 2024年抚顺市新抚区六上数学期末质量跟踪监视试题含解析
- 2024年自然科学研究与试验发展服务项目建议书
- 2024年福建省宁德市福安市六年级数学第一学期期末监测模拟试题含解析
- 炎症性肠病诊断与治疗的共识意见(全文版)
- 常用不规则动词表
- 2024年烟台银行招考工作人员高频考题难、易错点模拟试题(共500题)附带答案详解
- 部编版六年级语文上册《七律·长征》教材
- 服务保证及违约处罚措施承诺书
- 2019年10月自考00369警察伦理学试题及答案含解析
- (2024年)互联网营销全套课件分享
- 2023年译林江苏版小学六年级英语国庆假期作业
- 防性防侵害安全教育培训讲座
- 胖东来服务管理手册
- 【新课标】第二单元 3《b p m f》(第7课时) 大单元一等奖创新教学设计
评论
0/150
提交评论