%0 Journal Article %1 Li2016Bloch %A Li, Tracy %A Duca, Lucia %A Reitter, Martin %A Grusdt, Fabian %A Demler, Eugene %A Endres, Manuel %A Schleier-Smith, Monika %A Bloch, Immanuel %A Schneider, Ulrich %D 2016 %J Science %K topology %N 6289 %P 1094--1097 %R 10.1126/science.aad5812 %T Bloch state tomography using Wilson lines %U http://dx.doi.org/10.1126/science.aad5812 %V 352 %X 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 multi-band systems. Using an ultracold gas of Rb 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 multi-band Chern and \$Z\_2\$ numbers.

@article{Li2016Bloch, 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 multi-band systems. Using an ultracold gas of Rb 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 multi-band Chern and \$Z\_2\$ numbers.}}, added-at = {2019-02-26T15:22:34.000+0100}, archiveprefix = {arXiv}, author = {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}, biburl = {https://www.bibsonomy.org/bibtex/2a74bbd59853780162578a0278583d623/rspreeuw}, citeulike-article-id = {13760231}, citeulike-linkout-0 = {http://arxiv.org/abs/1509.02185}, citeulike-linkout-1 = {http://arxiv.org/pdf/1509.02185}, citeulike-linkout-2 = {http://dx.doi.org/10.1126/science.aad5812}, day = 16, doi = {10.1126/science.aad5812}, eprint = {1509.02185}, interhash = {56760b68fd46f2a0264d7099ade96970}, intrahash = {a74bbd59853780162578a0278583d623}, journal = {Science}, keywords = {topology}, month = jun, number = 6289, pages = {1094--1097}, posted-at = {2017-11-21 22:22:06}, priority = {2}, timestamp = {2019-02-26T15:22:34.000+0100}, title = {{Bloch state tomography using Wilson lines}}, url = {http://dx.doi.org/10.1126/science.aad5812}, volume = 352, year = 2016 }