Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session B10: Driven Topological Systems - II
11:30 AM–2:30 PM,
Monday, March 4, 2024
Room: M100A
Sponsoring
Unit:
DCMP
Chair: Inanc Adagideli, Sabanci University
Abstract: B10.00003 : Berry Curvature Pumps from Locally Parameterised States*
11:54 AM–12:06 PM
Presenter:
Ophelia Evelyn Sommer
(Harvard University)
Authors:
Ophelia Evelyn Sommer
(Harvard University)
Xueda Wen
(Massachusetts Institute of Technology MIT)
Ashvin Vishwanath
(Harvard University)
Michael Hermele
(University of Colorado, Boulder)
Higher Berry curvature is the quantised invariant corresponding in 1D to the Thouless pump of Berry curvature, and its quantisation allows a classification of families of pumps, and has implications for the correlation functions of these families.
Our approach directly relates this pump to Schmidt decompositions and Matrix product states in 1D. This allows numerical and analytical computation, as we illustrate with solvable and non-solvable lattice models.
*This work was supported in part by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (618615, XW, AV; 651440, XW, MH)
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