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DOI | 10.1038/s41467-017-01997-0 |
Measuring topology from dynamics by obtaining the Chern number from a linking number | |
Tarnowski, Matthias1,2; Uenal, F. Nur3; Flaeschner, Nick1,2; Rem, Benno S.1,2; Eckardt, Andre3; Sengstock, Klaus1,2,4; Weitenberg, Christof1,2 | |
2019-04-15 | |
发表期刊 | NATURE COMMUNICATIONS
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ISSN | 2041-1723 |
出版年 | 2019 |
卷号 | 10 |
文章类型 | Article |
语种 | 英语 |
国家 | Germany |
英文摘要 | Integer-valued topological indices, characterizing nonlocal properties of quantum states of matter, are known to directly predict robust physical properties of equilibrium systems. The Chern number, e.g., determines the quantized Hall conductivity of an insulator. Using non-interacting fermionic atoms in a periodically driven optical lattice, here we demonstrate experimentally that the Chern number determines also the far-from-equilibrium dynamics of a quantum system. Extending a respective proposal to Floquet systems, we measure the linking number that characterizes the trajectories of momentum-space vortices emerging after a strong quench. We observe that it directly corresponds to the ground-state Chern number. This one-to-one relation between a dynamical and a static topological index allows us to experimentally map out the phase diagram of our system. Furthermore, we measure the instantaneous Chern number and show that it remains zero under the unitary dynamics. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000464494000002 |
WOS关键词 | FLOQUET ; REALIZATION ; MODEL |
WOS类目 | Multidisciplinary Sciences |
WOS研究方向 | Science & Technology - Other Topics |
URL | 查看原文 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/203591 |
专题 | 资源环境科学 |
作者单位 | 1.Univ Hamburg, Inst Laserphys, D-22761 Hamburg, Germany; 2.Hamburg Ctr Ultrafast Imaging, D-22761 Hamburg, Germany; 3.Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany; 4.Univ Hamburg, Zentrum Opt Quantentechnol, D-22761 Hamburg, Germany |
推荐引用方式 GB/T 7714 | Tarnowski, Matthias,Uenal, F. Nur,Flaeschner, Nick,et al. Measuring topology from dynamics by obtaining the Chern number from a linking number[J]. NATURE COMMUNICATIONS,2019,10. |
APA | Tarnowski, Matthias.,Uenal, F. Nur.,Flaeschner, Nick.,Rem, Benno S..,Eckardt, Andre.,...&Weitenberg, Christof.(2019).Measuring topology from dynamics by obtaining the Chern number from a linking number.NATURE COMMUNICATIONS,10. |
MLA | Tarnowski, Matthias,et al."Measuring topology from dynamics by obtaining the Chern number from a linking number".NATURE COMMUNICATIONS 10(2019). |
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