Finite-size prethermalization at the chaos-to-integrable crossover
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866908606344986624 |
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| author | Dieplinger, Johannes Bera, Soumya |
| author_facet | Dieplinger, Johannes Bera, Soumya |
| contents | We investigate the infinite temperature dynamics of the complex Sachdev-Ye-Kitaev model (SYK$_4$) complimented with a single particle hopping term (SYK$_2$), leading to the chaos-to-integrable crossover of the many-body eigenstates. Due to the presence of the all-to-all connected SYK$_2$ term, a non-equilibrium prethermal state emerges for a finite time window $t_{th}\propto 2^{a/λ^{2/5}}$ that scales with the relative interaction strength $λ$, between the SYK terms before eventually exhibiting thermalization for all $λ$. The scaling of the plateau with $λ$ is consistent with the many-body Fock space structure of the time-evolved wave function. In the integrable limit, the wavefunction in the Fock space has a stretched exponential dependence on distance. On the contrary, in the SYK$_4$ limit, it is distributed equally over the Fock space points characterizing the ergodic phase at long times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_16019 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite-size prethermalization at the chaos-to-integrable crossover Dieplinger, Johannes Bera, Soumya Disordered Systems and Neural Networks Strongly Correlated Electrons We investigate the infinite temperature dynamics of the complex Sachdev-Ye-Kitaev model (SYK$_4$) complimented with a single particle hopping term (SYK$_2$), leading to the chaos-to-integrable crossover of the many-body eigenstates. Due to the presence of the all-to-all connected SYK$_2$ term, a non-equilibrium prethermal state emerges for a finite time window $t_{th}\propto 2^{a/λ^{2/5}}$ that scales with the relative interaction strength $λ$, between the SYK terms before eventually exhibiting thermalization for all $λ$. The scaling of the plateau with $λ$ is consistent with the many-body Fock space structure of the time-evolved wave function. In the integrable limit, the wavefunction in the Fock space has a stretched exponential dependence on distance. On the contrary, in the SYK$_4$ limit, it is distributed equally over the Fock space points characterizing the ergodic phase at long times. |
| title | Finite-size prethermalization at the chaos-to-integrable crossover |
| topic | Disordered Systems and Neural Networks Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2303.16019 |