LG-TDGL

Structured light and induced vorticity in superconductors

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Motivation

LG-TDGL provides a platform to explore the interaction between structured light and superconducting order parameters, enabling the realization of the quantum printing effect. The computation of order parameters is based on the framework of the generalized time-depdendent Ginzburg-Landau (TDGL) equation implemented in pyTDGL (see reference [1]).
This script, LG-TDGL, builds upon the series of works titled ''Structured light induced vorticity in superconductors'' (see references [2],[3]).
In this notebook, we showcase an example of a dynamics of superconducting vortices induced by Laguerre-Gaussian beam, and demonstrate the results for the light-imprinted superflow in reference.

-- References:
[1] This code requires the pyTDGL environment. See the documentation: https://py-tdgl.readthedocs.io/en/latest/, and publication DOI: https://doi.org/10.1016/j.cpc.2023.108799.
[2] ''Structured light and induced vorticity in superconductors I: Linearly polarized light.'' DOI: https://arxiv.org/abs/2407.15834.
[3] ''Structured light and induced vorticity in superconductors II: Quantum Print with Laguerre-Gaussian beam.'' DOI: https://arxiv.org/abs/2412.00935.

Try LG-TDGL

Click the badge below to try LG-TDGL interactively online via Google Colab:

Install via pip

From this GitHub repository:

pip install git+https://github.com/TienTienYeh/lg-tdgl.git

Editable installation:

git clone https://github.com/TienTienYeh/lg-tdgl.git
cd lg-tdgl
pip install -e ".[dev,docs]"

About pyTDGL

Authors

• Authors of works of Structured light and induced vorticity in superconductors: Tien-Tien Yeh, Hennadii Yerzhakov, Logan Bishop-Van Horn, Srinivas Raghu, Alexander Balatsky,
• Primary author and maintainer of GitHub: @TienTienYeh.

Citing LG-TDGL

LG-TDGL is described in the following papers:

• ''Structured light and induced vorticity in superconductors I: Linearly polarized light.'' DOI: https://arxiv.org/abs/2407.15834.
• ''Structured light and induced vorticity in superconductors II: Quantum Print with Laguerre-Gaussian beam.'' DOI: https://arxiv.org/abs/2412.00935.

If you use LG-TDGL in your research, please cite the paper linked above.

% BibTeX citation

@article{yeh2025quantum_I,
title = {Quantum printing and induced vorticity in superconductors I: Linearly polarized light},
author = {Yeh, Tien-Tien and Yerzhakov, Hennadii and Bishop-Van Horn, Logan and Raghu, Srinivas and Balatsky, Alexander},
journal = {Phys. Rev. Res.},
volume = {7},
issue = {4},
pages = {043111},
numpages = {18},
year = {2025},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/k9m4-h474},
url = {https://link.aps.org/doi/10.1103/k9m4-h474}
}

@article{yeh2025quantum_II,
title = {Quantum printing and induced vorticity in superconductors II: Laguerre-Gaussian beam},
author = {Yeh, Tien-Tien and Yerzhakov, Hennadii and Horn, Logan Bishop-Van and Raghu, Srinivas and Balatsky, Alexander},
journal = {Phys. Rev. Res.},
volume = {7},
issue = {4},
pages = {043112},
numpages = {23},
year = {2025},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/dqv7-w2w4},
url = {https://link.aps.org/doi/10.1103/dqv7-w2w4}
}

Acknowledgments

This work was supported by US DOE Office of Science award DC-SC0025580. This work is based on the pyTDGL developed by Logan Bishop-Van Horn. The documentation for pyTDGL can be found at py-tdgl.readthedocs.io.

(Install pyTDGL)

pyTDGL requires python 3.8, 3.9, 3.10, or 3.11. We recommend installing pyTDGL in a conda environment, e.g.

conda create --name tdgl python="3.10"
conda activate tdgl