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 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 numbers.
Cite
@article{arxiv.1509.02185,
title = {Bloch state tomography using Wilson lines},
author = {Tracy Li and Lucia Duca and Martin Reitter and Fabian Grusdt and Eugene Demler and Manuel Endres and Monika Schleier-Smith and Immanuel Bloch and Ulrich Schneider},
journal= {arXiv preprint arXiv:1509.02185},
year = {2016}
}
Comments
5+9 pages, final ublished version