Work

Quantum geometry embedded in unitarity of evolution: Revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands

Year: 2025

Type: article

Abstract: Quantum Hall effects provide intuitive ways of revealing the topology in crystals, i.e., each quantized ``step'' represents a distinct topological state. Here, we seek a counterpart for ``visualizing'' quantum geometry, which is a broader concept. We show how geometry emerges in quantum as an intrinsic consequence of unitary evolution, composing a framework compatible with quantum metric and independent of specific details or approximations, suggesting quantum geometry may have widespread applicability. Indeed, we exemplify geometric observables, such as oscillation, dephasing, in magnetic resonance or band driving scenarios. Anomalies, supported by both analytic and numerical solutions, underscore the advantages of adopting a geometric perspective, potentially yielding distinguishable experimental signatures.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.111.144305

Authors: B. Q. Song, J. D. H. Smith, T. Jiang, Y. X. Yao, J. Wang

Institutions: Iowa State University, Ames National Laboratory

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Office of Science, Basic Energy Sciences

Award: G249831736