Bloch state tomography using Wilson lines

被引：152

作者：

Li, Tracy ^{[1
,2
]}

Duca, Lucia ^{[1
,2
]}

Reitter, Martin ^{[1
,2
]}

Grusdt, Fabian ^{[3
,4
,5
,6
]}

Demler, Eugene ^{[6
]}

Endres, Manuel ^{[6
,7
]}

Schleier-Smith, Monika ^{[8
]}

Bloch, Immanuel ^{[1
,2
]}

Schneider, Ulrich ^{[1
,2
,9
]}

机构：

[1] Univ Munich, Fak Phys, Schellingstr 4, D-80799 Munich, Germany

[2] Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany

[3] Univ Kaiserslautern, Dept Phys, D-67663 Kaiserslautern, Germany

[4] Univ Kaiserslautern, Res Ctr OPTIMAS, D-67663 Kaiserslautern, Germany

[5] Grad Sch Mat Sci Mainz, Gottlieb Daimler Str 47, D-67663 Kaiserslautern, Germany

[6] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

[7] CALTECH, Dept Phys, Inst Quantum Informat & Matter, Pasadena, CA 91125 USA

[8] Stanford Univ, Dept Phys, Stanford, CA 94305 USA

[9] Univ Cambridge, Cavendish Lab, JJ Thomson Ave, Cambridge CB3 0HE, England

来源：

SCIENCE | 2016年 / 352卷 / 6289期

基金：

美国国家科学基金会;

关键词：

ATOMS; PHASE;

D O I：

10.1126/science.aad5812

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Topology and geometry are essential to our understanding of modern physics, underlying many foundational concepts from high-energy theories, quantum information, and condensed-matter physics. In condensed-matter systems, a wide range of phenomena stem from the geometry of the band eigenstates, which is encoded in the matrix-valued-Wilson line for general multiband systems. Using an ultracold gas of rubidium atoms loaded in a honeycomb optical lattice, we realize strong-force dynamics in Bloch bands that are described by Wilson lines and observe an evolution in the band populations that directly reveals the band geometry. Our technique enables a full determination of band eigenstates, Berry curvature, and topological invariants, including single-and multiband Chern and Z(2) numbers.

引用

页码：1094 / 1097

页数：4

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