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. https://resolver.caltech.edu/CaltechAUTHORS:20160526-131417294

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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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1126/science.aad5812	DOI	Article
https://www.sciencemag.org/content/352/6289/1094/suppl/DC1	Publisher	Supplementary Materials
https://arxiv.org/abs/1509.02185	arXiv	Discussion Paper

ORCID:

Author	ORCID
Endres, Manuel	0000-0002-4461-224X

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

Funders:

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

Issue or Number:

6289

DOI:

10.1126/science.aad5812

Record Number:

CaltechAUTHORS:20160526-131417294

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20160526-131417294

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

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

26 May 2016 20:24

Last Modified:

11 Nov 2021 00:31

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