تقرير
On propagation of information in quantum many-body systems
| العنوان: | On propagation of information in quantum many-body systems |
|---|---|
| المؤلفون: | Sigal, Israel Michael, Zhang, Jingxuan |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, 35Q40 (primary), 81P45 (secondary) |
| الوصف: | 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]. Comment: updated reference [36] M. Lemm, C. Rubiliani, I. M. Sigal, and J. Zhang, Information propagation in long-range quantum many-body systems, Phys. Rev. A, To appear (2023) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2212.14472 |
| رقم الأكسشن: | edsarx.2212.14472 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |