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index.md

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We have a monthly online meeting to discuss the development of new methods and applications. Zoom links will be provided through a mailing list (49 registered users as of November 4th, 2024). Please contact [us](<mailto:[email protected]>) if you would like to join the mailing list.
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Planned meetings:
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* January 13rd, 2025
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* February 18th, 2025
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Previous meetings:
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* January 13th, 2025
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* November 26th, 2024
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* October 29th, 2024
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* September 30th, 2024

reference.md

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*Please feel to contact us if you would like to add a relevant paper to this list or make a pull request [here](https://github.com/tensor4all/tensor4all.github.io).*
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* *Tensor cross interpolation approach for quantum impurity problems based on the weak-coupling expansion*<br>
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Shuta Matsuura, Hiroshi Shinaoka, Philipp Werner, Naoto Tsuji<br>
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[arXiv:2501.12643](https://arxiv.org/abs/2501.12643)<br>
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We apply the tensor cross interpolation (TCI) algorithm to solve equilibrium quantum impurity problems with high precision based on the weak-coupling expansion. The TCI algorithm enables efficient evaluation of higher-order terms in perturbative expansions by factorizing high-dimensional integrals into low-dimensional ones.
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* *High-resolution nonequilibrium GW calculations based on quantics tensor trains*<br>
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Maksymilian Środa, Ken Inayoshi, Hiroshi Shinaoka, Philipp Werner<br>
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[arXiv:2412.14032](https://arxiv.org/abs/2412.14032)<br>
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This paper demonstrates nonequilibrium GW simulations with high momentum resolution using quantics tensor train (QTT) representation, enabling the study of thermalization dynamics and transient Floquet physics during multi-cycle electric field pulses.
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* *Learning low-rank tensor train representations: new algorithms and libraries*<br>
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Yuriel Núñez Fernández, Marc K. Ritter, Matthieu Jeannin, Jheng-Wei Li, Thomas Kloss, Thibaud Louvet, Satoshi Terasaki, Olivier Parcollet, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal<br>
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[arXiv:2407.02454](https://arxiv.org/abs/2407.02454)<br>
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This paper provides a pedagogical introduction to tensor network methods, which includes an overview of the existing literature and also new algorithm.
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This paper provides a pedagogical introduction to tensor network methods, which includes an overview of the existing literature and also new algorithms.
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* *Learning parameter dependence for Fourier-based option pricing with tensor trains*<br>
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Rihito Sakurai, Haruto Takahashi, Koichi Miyamoto<br>
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[arXiv:2303.11819](https://arxiv.org/abs/2303.11819)<br>
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This paper introduces quantics tensor cross interpolation (QTCI) for high-resolution parsimonious representations of multivariate functions.
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* *Multiscale Space-Time Ansatz for Correlation Functions of Quantum Systems Based on Quantics Tensor Trains*<br>
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Hiroshi Shinaoka, Markus Wallerberger, Yuta Murakami, Kosuke Nogaki, Rihito Sakurai, Philipp Werner, and Anna Kauch<br>
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[Phys. Rev. X 13, 021015 (2023)](https://journals.aps.org/prx/abstract/10.1103/PhysRevX.13.021015)<br>

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