Bloch state tomography using Wilson lines
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
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Additional details
- Alternative title
- Experimental reconstruction of Wilson lines in Bloch bands
- Eprint ID
- 67401
- DOI
- 10.1126/science.aad5812
- Resolver ID
- CaltechAUTHORS:20160526-131417294
- 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)
- Created
-
2016-05-26Created from EPrint's datestamp field
- Updated
-
2021-11-11Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter