Fading ergodicity meets maximal chaos
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910827158700032 |
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| author | Świętek, Rafał Łydżba, Patrycja Vidmar, Lev |
| author_facet | Świętek, Rafał Łydżba, Patrycja Vidmar, Lev |
| contents | Fading ergodicity provides a theoretical framework for understanding deviations from the eigenstate thermalization hypothesis (ETH) near ergodicity-breaking transitions. In this work, we demonstrate that the breakdown of the ETH at the interaction-driven ergodicity-breaking critical point in the quantum sun model gives rise to to the maximally divergent fidelity susceptibility. We further extend our analysis to the energy-driven ergodicity-breaking transition associated with the many-body mobility edge. Specifically, we show that fidelity susceptibilities at energies away from the middle of the spectrum exhibit a divergent peak near the mobility edge. Finally, we argue that fading ergodicity provides a simple and accurate description of the ETH breakdown in the quantum sun model, which is accompanied with the emergence of a peak in fidelity susceptibility and the onset of maximal chaos at the ergodicity-breaking critical point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09711 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fading ergodicity meets maximal chaos Świętek, Rafał Łydżba, Patrycja Vidmar, Lev Statistical Mechanics Disordered Systems and Neural Networks Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics Fading ergodicity provides a theoretical framework for understanding deviations from the eigenstate thermalization hypothesis (ETH) near ergodicity-breaking transitions. In this work, we demonstrate that the breakdown of the ETH at the interaction-driven ergodicity-breaking critical point in the quantum sun model gives rise to to the maximally divergent fidelity susceptibility. We further extend our analysis to the energy-driven ergodicity-breaking transition associated with the many-body mobility edge. Specifically, we show that fidelity susceptibilities at energies away from the middle of the spectrum exhibit a divergent peak near the mobility edge. Finally, we argue that fading ergodicity provides a simple and accurate description of the ETH breakdown in the quantum sun model, which is accompanied with the emergence of a peak in fidelity susceptibility and the onset of maximal chaos at the ergodicity-breaking critical point. |
| title | Fading ergodicity meets maximal chaos |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2502.09711 |