Average Spread Complexity and the Higher-Order Level Spacing
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910918534758400 |
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| author | Astaneh, Amin Faraji Vardian, Niloofar |
| author_facet | Astaneh, Amin Faraji Vardian, Niloofar |
| contents | We investigate the spread complexity of a generic two-level subsystem of a larger system to analyze the influence of energy level statistics, comparing chaotic and integrable systems. Initially focusing on the nearest-neighbor level spacing, we observe the characteristic slope-dip-ramp-plateau structure. Further investigation reveals that certain matrix models exhibit additional iterative peaks, motivating us to generalize the known spacing distributions to higher-order level spacings. While this structure persists in chaotic systems, we find that integrable systems can also display similar features, highlighting limitations in using complexity as a universal diagnostic of quantum chaos. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_14362 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Average Spread Complexity and the Higher-Order Level Spacing Astaneh, Amin Faraji Vardian, Niloofar High Energy Physics - Theory Statistical Mechanics Quantum Physics We investigate the spread complexity of a generic two-level subsystem of a larger system to analyze the influence of energy level statistics, comparing chaotic and integrable systems. Initially focusing on the nearest-neighbor level spacing, we observe the characteristic slope-dip-ramp-plateau structure. Further investigation reveals that certain matrix models exhibit additional iterative peaks, motivating us to generalize the known spacing distributions to higher-order level spacings. While this structure persists in chaotic systems, we find that integrable systems can also display similar features, highlighting limitations in using complexity as a universal diagnostic of quantum chaos. |
| title | Average Spread Complexity and the Higher-Order Level Spacing |
| topic | High Energy Physics - Theory Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2504.14362 |