Entanglement-enhanced correlation propagation in the one-dimensional SU($N$) Fermi-Hubbard model
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908618995007488 |
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| author | Mikkelsen, Mathias Danshita, Ippei |
| author_facet | Mikkelsen, Mathias Danshita, Ippei |
| contents | We investigate the dynamics of correlation propagation in the one-dimensional Fermi-Hubbard model with SU($N$) symmetry when the replusive-interaction strength is quenched from a large value, at which the ground state is a Mott-insulator with $1/N$ filling, to an intermediate value. From approximate analytical insights based on a simple model that captures the essential physics of the doublon excitations, we show that entanglement in the initial state leads to collective enhancement of the propagation velocity $v_{\text{SU}(N)}$ when $N>2$, becoming equal to the velocity of the Bose-Hubbard model in the large-$N$ limit. These results are supported by numerical calculations of the density-density correlation in the quench dynamics for $N=2,3,4,$ and $6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25358 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement-enhanced correlation propagation in the one-dimensional SU($N$) Fermi-Hubbard model Mikkelsen, Mathias Danshita, Ippei Quantum Gases We investigate the dynamics of correlation propagation in the one-dimensional Fermi-Hubbard model with SU($N$) symmetry when the replusive-interaction strength is quenched from a large value, at which the ground state is a Mott-insulator with $1/N$ filling, to an intermediate value. From approximate analytical insights based on a simple model that captures the essential physics of the doublon excitations, we show that entanglement in the initial state leads to collective enhancement of the propagation velocity $v_{\text{SU}(N)}$ when $N>2$, becoming equal to the velocity of the Bose-Hubbard model in the large-$N$ limit. These results are supported by numerical calculations of the density-density correlation in the quench dynamics for $N=2,3,4,$ and $6$. |
| title | Entanglement-enhanced correlation propagation in the one-dimensional SU($N$) Fermi-Hubbard model |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2510.25358 |