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Bloch state tomography using Wilson lines.

Accepted version
Peer-reviewed

Repository DOI


Type

Article

Change log

Authors

Li, Tracy 
Duca, Lucia 
Reitter, Martin 
Grusdt, Fabian 
Demler, Eugene 

Abstract

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 Z₂ numbers.

Description

Keywords

cond-mat.quant-gas, cond-mat.quant-gas, cond-mat.mes-hall, cond-mat.other, quant-ph

Journal Title

Science

Conference Name

Journal ISSN

0036-8075
1095-9203

Volume Title

352

Publisher

American Association for the Advancement of Science (AAAS)
Sponsorship
This work was supported by the Alfred P. Sloan Foundation, the European Commision (UQUAM, AQuS), Nanosystems Initiative Munich, the Harvard Quantum Optics Center, the Harvard-MIT CUA, NSF Grant No. DMR-1308435, the DARPA OLE program, the AFOSR Quantum Simulation MURI, the ARO-MURI on Atomtronics, and the ARO-MURI Quism program.