Fast Scrambling in the Hyperbolic Ising Model
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916676652498944 |
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| author | Toga, Goksu Can Samlodia, Abhishek Kemper, Alexander F. |
| author_facet | Toga, Goksu Can Samlodia, Abhishek Kemper, Alexander F. |
| contents | We investigate many-body chaos and scrambling in the Hyperbolic Ising model, a mixed-field Ising model living in the background of AdS2. The effect of the curvature is captured by site-dependent couplings obtained from the AdS2 metric applied to a flat nearest neighbor spin chain. We show that this model with only local site-dependent nearest neighbor interactions is maximally chaotic, can be classified as a fast scrambler, and saturates the Maldacena-Shenker-Stanford (MSS) bound on chaos for a certain set of parameters, thus making this model one of the few if not the only example where such fast scrambling behavior has been seen without all-to-all or long-range interactions. Moreover, the modest resources needed to simulate this model make it an ideal test-bed for studying scrambling and chaos on quantum computers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00114 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fast Scrambling in the Hyperbolic Ising Model Toga, Goksu Can Samlodia, Abhishek Kemper, Alexander F. Quantum Physics High Energy Physics - Lattice High Energy Physics - Theory We investigate many-body chaos and scrambling in the Hyperbolic Ising model, a mixed-field Ising model living in the background of AdS2. The effect of the curvature is captured by site-dependent couplings obtained from the AdS2 metric applied to a flat nearest neighbor spin chain. We show that this model with only local site-dependent nearest neighbor interactions is maximally chaotic, can be classified as a fast scrambler, and saturates the Maldacena-Shenker-Stanford (MSS) bound on chaos for a certain set of parameters, thus making this model one of the few if not the only example where such fast scrambling behavior has been seen without all-to-all or long-range interactions. Moreover, the modest resources needed to simulate this model make it an ideal test-bed for studying scrambling and chaos on quantum computers. |
| title | Fast Scrambling in the Hyperbolic Ising Model |
| topic | Quantum Physics High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.00114 |