Bloch state tomography using Wilson lines

• Autores: Tracy Li, Lucia Duca, Martin Reitter, Fabian Grusdt
• Localización: Science, ISSN 0036-8075, Vol. 352, Nº 6289, 2016, págs. 1095-1097
• Idioma: inglés
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• Resumen

  • 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 Embedded Image numbers.