On propagation of information in quantum many-body systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910828983222272 |
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| author | Sigal, Israel Michael Zhang, Jingxuan |
| author_facet | Sigal, Israel Michael Zhang, Jingxuan |
| contents | We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general lattice quantum many-body systems. The proofs are based on a maximal velocity bound, which states that the many-body evolution stays, up to small leaking probability tails, within a light cone of the support of the initial conditions. This estimate is used to prove the light-cone approximation of dynamics and Lieb-Robinson-type bound, which in turn yield the results above. Our conditions cover long-range interactions. The main results of this paper as well as some key steps of the proofs were first presented in [36]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_14472 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On propagation of information in quantum many-body systems Sigal, Israel Michael Zhang, Jingxuan Mathematical Physics 35Q40 (primary), 81P45 (secondary) We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general lattice quantum many-body systems. The proofs are based on a maximal velocity bound, which states that the many-body evolution stays, up to small leaking probability tails, within a light cone of the support of the initial conditions. This estimate is used to prove the light-cone approximation of dynamics and Lieb-Robinson-type bound, which in turn yield the results above. Our conditions cover long-range interactions. The main results of this paper as well as some key steps of the proofs were first presented in [36]. |
| title | On propagation of information in quantum many-body systems |
| topic | Mathematical Physics 35Q40 (primary), 81P45 (secondary) |
| url | https://arxiv.org/abs/2212.14472 |