A causality-based divide-and-conquer algorithm for nonequilibrium Green's function calculations with quantics tensor trains
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914381983383552 |
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| author | Inayoshi, Ken Środa, Maksymilian Kauch, Anna Werner, Philipp Shinaoka, Hiroshi |
| author_facet | Inayoshi, Ken Środa, Maksymilian Kauch, Anna Werner, Philipp Shinaoka, Hiroshi |
| contents | We propose a causality-based divide-and-conquer algorithm for nonequilibrium Green's function calculations with quantics tensor trains. This algorithm enables stable and efficient extensions of the simulated time domain by exploiting the causality of Green's functions. We apply this approach within the framework of nonequilibrium dynamical mean-field theory to the simulation of quench dynamics in symmetry-broken phases, where long-time simulations are often required to capture slow relaxation dynamics. We demonstrate that our algorithm allows to extend the simulated time domain without a significant increase in the cost of storing the Green's function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15028 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A causality-based divide-and-conquer algorithm for nonequilibrium Green's function calculations with quantics tensor trains Inayoshi, Ken Środa, Maksymilian Kauch, Anna Werner, Philipp Shinaoka, Hiroshi Strongly Correlated Electrons We propose a causality-based divide-and-conquer algorithm for nonequilibrium Green's function calculations with quantics tensor trains. This algorithm enables stable and efficient extensions of the simulated time domain by exploiting the causality of Green's functions. We apply this approach within the framework of nonequilibrium dynamical mean-field theory to the simulation of quench dynamics in symmetry-broken phases, where long-time simulations are often required to capture slow relaxation dynamics. We demonstrate that our algorithm allows to extend the simulated time domain without a significant increase in the cost of storing the Green's function. |
| title | A causality-based divide-and-conquer algorithm for nonequilibrium Green's function calculations with quantics tensor trains |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.15028 |