Out-of-time ordered correlation functions for the localized $f$ electrons in the Falicov-Kimball model
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| Format: | Preprint |
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2025
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| _version_ | 1866915710540709888 |
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| author | Shvaika, A. M. Freericks, J. K. |
| author_facet | Shvaika, A. M. Freericks, J. K. |
| contents | We provide an exact evaluation of the out-of-time correlation (OTOC) functions for the localized $f$-particle states in the Falicov-Kimball model within dynamical mean-field theory. Different regimes of quantum chaos and quantum scrambling are distinguished by the winding numbers of the block Toeplitz matrices used in the calculation. The similarities of these fermionic OTOCs and their logarithmic derivatives for time evolution with the OTOCs for quantum spin models with disorder are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21388 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Out-of-time ordered correlation functions for the localized $f$ electrons in the Falicov-Kimball model Shvaika, A. M. Freericks, J. K. Strongly Correlated Electrons Quantum Physics We provide an exact evaluation of the out-of-time correlation (OTOC) functions for the localized $f$-particle states in the Falicov-Kimball model within dynamical mean-field theory. Different regimes of quantum chaos and quantum scrambling are distinguished by the winding numbers of the block Toeplitz matrices used in the calculation. The similarities of these fermionic OTOCs and their logarithmic derivatives for time evolution with the OTOCs for quantum spin models with disorder are also discussed. |
| title | Out-of-time ordered correlation functions for the localized $f$ electrons in the Falicov-Kimball model |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2508.21388 |