Systematic large flavor fTWA approach to interaction quenches in the Hubbard model
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866916371323944960 |
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| author | Osterkorn, Alexander Kehrein, Stefan |
| author_facet | Osterkorn, Alexander Kehrein, Stefan |
| contents | We study the nonequilibrium dynamics after an interaction quench in the two-dimensional Hubbard model using the recently introduced fermionic truncated Wigner approximation (fTWA). To assess the range of validity of the method in a systematic way, we consider the SU($N$) Hubbard model with the fermion degeneracy $N$ as a natural semiclassical expansion parameter. Using both a numerical and a perturbative analytical approach we show that fTWA is exact at least up to and including the prethermalization dynamics. We discuss the limitations of the method beyond this regime. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2007_05063 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Systematic large flavor fTWA approach to interaction quenches in the Hubbard model Osterkorn, Alexander Kehrein, Stefan Strongly Correlated Electrons Quantum Physics We study the nonequilibrium dynamics after an interaction quench in the two-dimensional Hubbard model using the recently introduced fermionic truncated Wigner approximation (fTWA). To assess the range of validity of the method in a systematic way, we consider the SU($N$) Hubbard model with the fermion degeneracy $N$ as a natural semiclassical expansion parameter. Using both a numerical and a perturbative analytical approach we show that fTWA is exact at least up to and including the prethermalization dynamics. We discuss the limitations of the method beyond this regime. |
| title | Systematic large flavor fTWA approach to interaction quenches in the Hubbard model |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2007.05063 |