Regensburg 2025 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 4: Topological Insulators
TT 4.12: Vortrag
Montag, 17. März 2025, 12:30–12:45, H33
Operator approach to quantum geometry and semi-classical dynamics — •Chen Xu1,2, Andreas Haller1, Suraj Hegde3, Tobias Meng2, and Thomas Schmidt1 — 1Department of Physics and Materials Science, University of Luxembourg, Luxembourg — 2TU Dresden, Department of Physics — 3IISER-Thiruvananthapuram, India
We develop an operator-based approach for computing the quantum geometric contributions to the equations of motion of the position and momentum operators in an multiband system, without resorting to semiclassical wave-packet approximations. We identify contributions such as the Berry curvature and the quantum metric tensor induced anomalous velocity as fundamentally effective multiband effects. We show using this approach that in general higher-order operator-valued geometric quantities emerge in studying the dynamics in the presence of inhomogeneous external fields. We also demonstrate how to derive the dynamics from a generic coupling between Bloch momentum and an inhomogeneous external field, thus generalizing previous studies.
Keywords: quantum geometry; semi-classical dynamics