Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session D10: Quantum Information Properties of Matter
3:00 PM–5:24 PM,
Monday, March 4, 2024
Room: M100A
Sponsoring
Unit:
DCMP
Chair: Aaron Szasz, Lawrence Berkeley National Laboratory
Abstract: D10.00002 : Mapping quantum geometry and quantum phase transitions to real space by a fidelity marker
3:12 PM–3:24 PM
Presenter:
Antonio Lívio de Sousa Cruz
(PUC-Rio)
Authors:
Antonio Lívio de Sousa Cruz
(PUC-Rio)
Matheus S Martins de Sousa
(Pontificia Catholic University of Rio de)
Wei Chen
(Pontifical Catholic University of Rio de Janeiro)
be calculated directly from diagonalizing the lattice Hamiltonian. A linear-response theory is further introduced to generalize the fidelity number and marker to finite temperature and moreover demonstrates that they can be measured from the global and local optical absorption power against linearly polarized light. In particular, the fidelity number spectral function in two-dimensional systems can be easily measured from the opacity of the material. Based on the divergence of quantum metric, a nonlocal fidelity marker is further introduced and
postulated as a universal indicator of any quantum phase transitions provided the crystalline momentum remains a good quantum number, and it may be interpreted as a Wannier state correlation function. The ubiquity of these concepts is demonstrated for a variety of topological insulators and topological phase transitions in different dimensions.
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