Many-Body Quantum Chaos At All Time Scales
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914606514962432 |
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| author | García-García, Antonio M. Sá, Lucas Verbaarschot, Jacobus J. M. Zheng, Jie-Ping |
| author_facet | García-García, Antonio M. Sá, Lucas Verbaarschot, Jacobus J. M. Zheng, Jie-Ping |
| contents | We describe the dynamics of many-body quantum chaotic systems at all time scales by studying the Green's and out-of-time order correlation (OTOC) functions of the four-body, $N$-Majorana Sachdev-Ye-Kitaev model. By combining the scramblon formalism and random-matrix-theory techniques, we obtain analytical expressions for these functions at all times. The early exponential growth of the OTOC is followed by an exponential decay at a rate governed by that of the Green's function (the real part of the leading complex Ruelle-Pollicott resonances). For late times that scale exponentially with $N$, both functions have a dip-ramp-plateau pattern for $N \mathrm{mod}8 = 2, 6$ that deviates substantially from the ergodic prediction due to local-in-energy correlations of matrix elements and eigenvalues, even after the Heisenberg time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27512 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Many-Body Quantum Chaos At All Time Scales García-García, Antonio M. Sá, Lucas Verbaarschot, Jacobus J. M. Zheng, Jie-Ping High Energy Physics - Theory Statistical Mechanics Chaotic Dynamics Quantum Physics We describe the dynamics of many-body quantum chaotic systems at all time scales by studying the Green's and out-of-time order correlation (OTOC) functions of the four-body, $N$-Majorana Sachdev-Ye-Kitaev model. By combining the scramblon formalism and random-matrix-theory techniques, we obtain analytical expressions for these functions at all times. The early exponential growth of the OTOC is followed by an exponential decay at a rate governed by that of the Green's function (the real part of the leading complex Ruelle-Pollicott resonances). For late times that scale exponentially with $N$, both functions have a dip-ramp-plateau pattern for $N \mathrm{mod}8 = 2, 6$ that deviates substantially from the ergodic prediction due to local-in-energy correlations of matrix elements and eigenvalues, even after the Heisenberg time. |
| title | Many-Body Quantum Chaos At All Time Scales |
| topic | High Energy Physics - Theory Statistical Mechanics Chaotic Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2605.27512 |