Erlangen 2022 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 33: Quantum Gases
Q 33.6: Talk
Wednesday, March 16, 2022, 15:15–15:30, Q-H10
Thouless Pumps and Bulk-Boundary Correspondence in Higher-Order Symmetry-Protected Topological Phases — •Julian Wienand1,2, Friederike Horn1, Monika Aidelsburger1, Julian Bibo3, and Fabian Grusdt1 — 1Department of Physics, Ludwig-Maximilians-Universität München, Theresienstr. 37, D-80333 Munich, Germany — 2Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany — 3Department of Physics, T42, Technical University of Munich, D-85748 Garching, Germany
The bulk-boundary correspondence relates quantized edge states to bulk topological invariants in topological phases of matter. In symmetry-protected topological systems (SPTs), this fundamental concept is revealed by quantized topological Thouless pumps. Higher-order topological phases of matter (HOSPTs) also feature a bulk-boundary correspondence, but its connection to quantized charge transport remains elusive. In this talk we will show that quantized Thouless pumps connecting C4-symmetric HOSPTs can be described by a tuple of four Chern numbers that measure quantized bulk charge transport in a direction-dependent fashion. This tuple of Chern numbers allows to predict the sign and value of the fractional corner charges. We show that the topologically non-trivial phase can be characterized by both quadrupole and dipole configurations, shedding new light on current debates about the multi-pole nature of the HOSPT bulk. Our approach paves the way for an in-depth description of future dynamical experiments.