Complex Time Evolution in Tensor Networks
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916340059602944 |
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| author | Grundner, M. Westhoff, P. Kugler, F. B. Parcollet, O. Schollwöck, U. |
| author_facet | Grundner, M. Westhoff, P. Kugler, F. B. Parcollet, O. Schollwöck, U. |
| contents | Real-time calculations in tensor networks are strongly limited in time by entanglement growth, restricting the achievable frequency resolution of Green's functions, spectral functions, self-energies, and other related quantities. By extending the time evolution to contours in the complex plane, entanglement growth is curtailed, enabling numerically efficient high-precision calculations of time-dependent correlators and Green's functions with detailed frequency resolution. Various approaches to time evolution in the complex plane and the required post-processing for extracting the pure real-time and frequency information are compared. We benchmark our results on the examples of the single-impurity Anderson model using matrix-product states and of the three-band Hubbard-Kanamori and Dworin-Narath models using a tree tensor network. Our findings indicate that the proposed methods are also applicable to challenging realistic calculations of materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11705 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Complex Time Evolution in Tensor Networks Grundner, M. Westhoff, P. Kugler, F. B. Parcollet, O. Schollwöck, U. Strongly Correlated Electrons Materials Science Quantum Physics Real-time calculations in tensor networks are strongly limited in time by entanglement growth, restricting the achievable frequency resolution of Green's functions, spectral functions, self-energies, and other related quantities. By extending the time evolution to contours in the complex plane, entanglement growth is curtailed, enabling numerically efficient high-precision calculations of time-dependent correlators and Green's functions with detailed frequency resolution. Various approaches to time evolution in the complex plane and the required post-processing for extracting the pure real-time and frequency information are compared. We benchmark our results on the examples of the single-impurity Anderson model using matrix-product states and of the three-band Hubbard-Kanamori and Dworin-Narath models using a tree tensor network. Our findings indicate that the proposed methods are also applicable to challenging realistic calculations of materials. |
| title | Complex Time Evolution in Tensor Networks |
| topic | Strongly Correlated Electrons Materials Science Quantum Physics |
| url | https://arxiv.org/abs/2312.11705 |