Universal scaling of quantum state transport in one-dimensional topological chain under nonadiabatic dynamics
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911933431545856 |
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| author | Huang, Lingzi Deng, Menghua Sun, Chen Li, Fuxiang |
| author_facet | Huang, Lingzi Deng, Menghua Sun, Chen Li, Fuxiang |
| contents | When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as predicted by Kibble-Zurek mechanism. In this study, we generalized this idea and address the scaling of quantum state transport in a one-dimensional topological system subject to a linear drive through its topological quantum phase transition point. We illustrate the power-law dependencies of the quantum state's transport distance, width, and peak magnitude on the driving velocity. Crucially, the power-law exponents are distinct for the edge state and bulk state. Our results offer a novel perspective on quantum state transfer and enriches the field of Kibble-Zurek behaviors and nonadiabatic quantum dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18016 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal scaling of quantum state transport in one-dimensional topological chain under nonadiabatic dynamics Huang, Lingzi Deng, Menghua Sun, Chen Li, Fuxiang Quantum Physics Statistical Mechanics When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as predicted by Kibble-Zurek mechanism. In this study, we generalized this idea and address the scaling of quantum state transport in a one-dimensional topological system subject to a linear drive through its topological quantum phase transition point. We illustrate the power-law dependencies of the quantum state's transport distance, width, and peak magnitude on the driving velocity. Crucially, the power-law exponents are distinct for the edge state and bulk state. Our results offer a novel perspective on quantum state transfer and enriches the field of Kibble-Zurek behaviors and nonadiabatic quantum dynamics. |
| title | Universal scaling of quantum state transport in one-dimensional topological chain under nonadiabatic dynamics |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2406.18016 |