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Two-particle response functions are a centerpiece of both experimental and theoretical quantum many-body physics.
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H. Shinaoka, N. Chikano, E. Gull, J. Li, T. Nomoto, J. Otsuki, M. Wallerberger, T. Wang, and K. Yoshimi, Efficient ab initio many-body calculations based on sparse modeling of Matsubara Green’s function, SciPost Phys. Lect. Notes , 63 (2022)
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H. Shinaoka, M. Wallerberger, Y. Murakami, K. Nogaki, R. Sakurai, P. Werner, and A. Kauch, Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains, Phys. Rev. X 13
2023
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J. Halbinger, B. Schneider, and B. Sbierski, Spectral representation of Matsubara n-point functions: Exact kernel functions and applications, SciPost Phys. 15
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2020
Cited alongside, same era.
F. Krien, A. Kauch, and K. Held, Tiling with triangles: parquet and G W γ GW\gamma methods unified, Phys. Rev. Res. 3
2021
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M. Wallerberger, H. Shinaoka, and A. Kauch, Solving the Bethe–Salpeter equation with exponential convergence, Phys. Rev. Research 3
2021
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F. B. Kugler, S.-S. B. Lee, and J. von Delft, Multipoint correlation functions: Spectral representation and numerical evaluation, Phys. Rev. X 11
2021
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S.-S. B. Lee, F. B. Kugler, and J. von Delft, Computing local multipoint correlators using the numerical renormalization group, Phys. Rev. X 11
2021
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Y. Núñez Fernández, M. Jeannin, P. T. Dumitrescu, T. Kloss, J. Kaye, O. Parcollet, and X. Waintal, Learning Feynman diagrams with tensor trains, Phys. Rev. X 12
2022
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Naively, one would expect 𝒪 ( n ! L n − 1 ) \mathcal{O}(n!L^{n-1}) coefficients, however, the n ! n! is cancelled: due to the exponential decay of the singular values, only a fraction 1 / ( n − 1 ) ! 1/(n-1)! of the hypercube satisfies S ℓ 1 ⋯ S ℓ n − 1 > ε S_{\ell_{1}}\cdots S_{\ell_{n-1}}>\varepsilon [ 14 ]
Cited in the paper.
2023
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2023
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2023
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M. Wallerberger, S. Badr, S. Hoshino, S. Huber, F. Kakizawa, T. Koretsune, Y. Nagai, K. Nogaki, T. Nomoto, H. Mori, J. Otsuki, S. Ozaki, T. Plaikner, R. Sakurai, C. Vogel, N. Witt, K. Yoshimi, and H. Shinaoka, sparse-ir: Optimal compression and sparse sampling of many-body propagators, SoftwareX 21
2023
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M. K. Ritter, Y. Núñez Fernández, M. Wallerberger, J. von Delft, H. Shinaoka, and X. Waintal, Quantics tensor cross interpolation for high-resolution parsimonious representations of multivariate functions, Phys. Rev. Lett. 132
2024
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