Theory of Out-of-Time-Ordered Transport
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912895565037568 |
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| author | Mishra, Ruchira Wang, Jiaozi Pappalardi, Silvia Delacrétaz, Luca V. |
| author_facet | Mishra, Ruchira Wang, Jiaozi Pappalardi, Silvia Delacrétaz, Luca V. |
| contents | We construct an effective field theory (EFT) that captures the universal behavior of out-of-time-order correlators (OTOCs) at late times in generic quantum many-body systems with conservation laws. The EFT hinges on a generalization of the strong-to-weak spontaneous symmetry breaking pattern adapted to out-of-time-order observables, and reduces to conventional fluctuating hydrodynamics when time-ordered observables are probed. We use the EFT to explain different power-law behavior observed in OTOCs at late times, and show that many OTOCs are entirely fixed by conventional transport data. Nevertheless, we show that a specific combination of OTOCs is sensitive to novel transport parameters, not visible in regular time-ordered correlators. We test our predictions in Hamiltonian and Floquet spin chains in one dimension. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_11198 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Theory of Out-of-Time-Ordered Transport Mishra, Ruchira Wang, Jiaozi Pappalardi, Silvia Delacrétaz, Luca V. Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics We construct an effective field theory (EFT) that captures the universal behavior of out-of-time-order correlators (OTOCs) at late times in generic quantum many-body systems with conservation laws. The EFT hinges on a generalization of the strong-to-weak spontaneous symmetry breaking pattern adapted to out-of-time-order observables, and reduces to conventional fluctuating hydrodynamics when time-ordered observables are probed. We use the EFT to explain different power-law behavior observed in OTOCs at late times, and show that many OTOCs are entirely fixed by conventional transport data. Nevertheless, we show that a specific combination of OTOCs is sensitive to novel transport parameters, not visible in regular time-ordered correlators. We test our predictions in Hamiltonian and Floquet spin chains in one dimension. |
| title | Theory of Out-of-Time-Ordered Transport |
| topic | Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2512.11198 |