Self-similar phase diagram of the Fibonacci-driven quantum Ising model
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912846977171456 |
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| author | Schmid, Harald Peng, Yang Refael, Gil von Oppen, Felix |
| author_facet | Schmid, Harald Peng, Yang Refael, Gil von Oppen, Felix |
| contents | We study a stroboscopic quantum Ising model with Fibonacci dynamics. Focusing on boundary spin correlation functions in long but finite chains, our simulations as well as analytical arguments reveal a self-similar phase diagram exhibiting regions with Majorana zero modes (MZM) as well as Majorana golden-ratio modes (MGM). We identify the self-similarity transform which governs the evolution of the phase diagram with increasing simulation time. Integrability-breaking perturbations lead to a temporal decay of the boundary spin correlations, ultimaltely limiting the self-similarity of the phase diagram. Our predictions are testable with current quantum information processors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18219 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-similar phase diagram of the Fibonacci-driven quantum Ising model Schmid, Harald Peng, Yang Refael, Gil von Oppen, Felix Disordered Systems and Neural Networks Quantum Physics We study a stroboscopic quantum Ising model with Fibonacci dynamics. Focusing on boundary spin correlation functions in long but finite chains, our simulations as well as analytical arguments reveal a self-similar phase diagram exhibiting regions with Majorana zero modes (MZM) as well as Majorana golden-ratio modes (MGM). We identify the self-similarity transform which governs the evolution of the phase diagram with increasing simulation time. Integrability-breaking perturbations lead to a temporal decay of the boundary spin correlations, ultimaltely limiting the self-similarity of the phase diagram. Our predictions are testable with current quantum information processors. |
| title | Self-similar phase diagram of the Fibonacci-driven quantum Ising model |
| topic | Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2410.18219 |