The SYK charging advantage as a random walk on graphs
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913599462572032 |
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| author | Divi, Francisco Murugan, Jeff Rosa, Dario |
| author_facet | Divi, Francisco Murugan, Jeff Rosa, Dario |
| contents | We investigate the charging dynamics of Sachdev-Ye-Kitaev (SYK) models as quantum batteries, highlighting their capacity to achieve quantum charging advantages. By analytically deriving the scaling of the charging power in SYK batteries, we identify the two key mechanisms underlying this advantage: the use of operators scaling extensively with system size $N$ and the facilitation of operator delocalization by specific graph structures. A novel graph-theoretic framework is introduced in which the charging process is recast as a random walk on a graph, enabling a quantitative analysis of operator spreading. Our results establish rigorous conditions for the quantum advantage in SYK batteries and extend these insights to graph-based SYK models, revealing broader implications for energy storage and quantum dynamics. This work opens avenues for leveraging quantum chaos and complex network structures in optimizing energy transfer processes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04560 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The SYK charging advantage as a random walk on graphs Divi, Francisco Murugan, Jeff Rosa, Dario Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics High Energy Physics - Theory We investigate the charging dynamics of Sachdev-Ye-Kitaev (SYK) models as quantum batteries, highlighting their capacity to achieve quantum charging advantages. By analytically deriving the scaling of the charging power in SYK batteries, we identify the two key mechanisms underlying this advantage: the use of operators scaling extensively with system size $N$ and the facilitation of operator delocalization by specific graph structures. A novel graph-theoretic framework is introduced in which the charging process is recast as a random walk on a graph, enabling a quantitative analysis of operator spreading. Our results establish rigorous conditions for the quantum advantage in SYK batteries and extend these insights to graph-based SYK models, revealing broader implications for energy storage and quantum dynamics. This work opens avenues for leveraging quantum chaos and complex network structures in optimizing energy transfer processes. |
| title | The SYK charging advantage as a random walk on graphs |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.04560 |