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Bloch state tomography using Wilson lines

Li, Tracy and Duca, Lucia and Reitter, Martin and Grusdt, Fabian and Demler, Eugene and Endres, Manuel and Schleier-Smith, Monika and Bloch, Immanuel and Schneider, Ulrich (2016) Bloch state tomography using Wilson lines. Science, 352 (6289). pp. 1094-1097. ISSN 0036-8075. doi:10.1126/science.aad5812.

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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.

Item Type:Article
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URLURL TypeDescription Materials Paper
Endres, Manuel0000-0002-4461-224X
Alternate Title:Experimental reconstruction of Wilson lines in Bloch bands
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.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
European CommissionUNSPECIFIED
Nanosystems Initiative MunichUNSPECIFIED
Harvard Quantum Optics CenterUNSPECIFIED
Harvard-MIT Center for Ultracold AtomsUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Issue or Number:6289
Record Number:CaltechAUTHORS:20160526-131417294
Persistent URL:
Official Citation:Bloch state tomography using Wilson lines BY TRACY LI, LUCIA DUCA, MARTIN REITTER, FABIAN GRUSDT, EUGENE DEMLER, MANUEL ENDRES, MONIKA SCHLEIER-SMITH, IMMANUEL BLOCH, ULRICH SCHNEIDER Science 27 May 2016: Vol. 352, Issue 6289, pp. 1094-1097 DOI: 10.1126/science.aad5812
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67401
Deposited By: Joy Painter
Deposited On:26 May 2016 20:24
Last Modified:11 Nov 2021 00:31

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