Generalized Wilson loop method for nonlinear light-matter interaction
Name
s41535-022-00472-4.pdf
Description
Published version
Size
1.87 MB
Format
Adobe PDF
Checksum (MD5)
65c372f60a5940020339c6de026c8442
Author(s)
Wang, Hua
Tang, Xiuyu
Xu, Haowei
Li, Ju
Qian, Xiaofeng
Date Issued
2022
Journal
npj Quantum Materials
Publisher
Springer Science and Business Media LLC
Citation
Wang, Hua, Tang, Xiuyu, Xu, Haowei, Li, Ju and Qian, Xiaofeng. 2022. "Generalized Wilson loop method for nonlinear light-matter interaction." npj Quantum Materials, 7 (1).
Version
Final published version
Abstract
AbstractNonlinear light–matter interaction, as the core of ultrafast optics, bulk photovoltaics, nonlinear optical sensing and imaging, and efficient generation of entangled photons, has been traditionally studied by first-principles theoretical methods with the sum-over-states approach. However, this indirect method often suffers from the divergence at band degeneracy and optical zeros as well as convergence issues and high computation costs when summing over the states. Here, using shift vector and shift current conductivity tensor as an example, we present a gauge-invariant generalized approach for efficient and direct calculations of nonlinear optical responses by representing interband Berry curvature, quantum metric, and shift vector in a generalized Wilson loop. This generalized Wilson loop method avoids the above cumbersome challenges and allows for easy implementation and efficient calculations. More importantly, the Wilson loop representation provides a succinct geometric interpretation of nonlinear optical processes and responses based on quantum geometric tensors and quantum geometric potentials and can be readily applied to studying other excited-state responses.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Terms of Use
Creative Commons Attribution 4.0 International license
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1038/S41535-022-00472-4
