CaltechAUTHORS
Published May 27, 2016 | Version Supplemental Material + Submitted
Journal Article Open

Bloch state tomography using Wilson lines

Creators

  • 1. ROR icon Ludwig-Maximilians-Universität München
  • 2. ROR icon Harvard University
  • 3. ROR icon Stanford University

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 Z_2 numbers.

Additional Information

© 2016 American Association for the Advancement of Science. Received 5 October 2015; accepted 15 April 2016. We acknowledge illuminating discussions with A. Alexandradinata, J.-N. Fuchs, N. Goldman, D. Greif, L.-K. Lim, G. Montambaux, A. Polkovnikov, and G. Refael. 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–Massachusetts Institute of Technology Center for Ultracold Atoms, NSF grant DMR–1308435, the Defense Advanced Research Projects Agency Optical Lattice Emulator program, the Air Force Office of Scientific Research, Quantum Simulation Multidisciplinary University Research Initiative (MURI), the Army Research Office (ARO)–MURI on Atomtronics, and the ARO-MURI Qubit Enabled Imaging, Sensing, and Metrology program.

Attached Files

Submitted - 1509.02185v2.pdf

Supplemental Material - 25_352.6289.1094.DC1_Li.SM.pdf

Files

1509.02185v2.pdf

Files (6.7 MB)

Name Size Download all
md5:2b0ff8cb9fb6c6bf13c91c6f76b6dbf3
4.0 MB Preview Download
md5:52787a7cc44032357aab794bba5f605b
2.8 MB Preview Download

Additional details

Additional titles

Alternative title
Experimental reconstruction of Wilson lines in Bloch bands

Identifiers

Eprint ID
67401
DOI
10.1126/science.aad5812
Resolver ID
CaltechAUTHORS:20160526-131417294

Related works

Describes
10.1126/science.aad5812 (DOI)
https://arxiv.org/abs/1509.02185 (URL)

Funding

Alfred P. Sloan Foundation
European Commission
Nanosystems Initiative Munich
Harvard Quantum Optics Center
Harvard-MIT Center for Ultracold Atoms
NSF
DMR-1308435
Defense Advanced Research Projects Agency (DARPA)
Air Force Office of Scientific Research (AFOSR)
Army Research Office (ARO)

Dates

Created
2016-05-26
Created from EPrint's datestamp field
Updated
2021-11-11
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Institute for Quantum Information and Matter