当前位置: X-MOL 学术Phys. Rev. X › 论文详情
Hierarchy of linear light cones with long-range interactions
Physical Review X ( IF 12.577 ) Pub Date : 
Minh C. Tran; Chi-Fang Chen; Adam Ehrenberg; Andrew Y. Guo; Abhinav Deshpande; Yifan Hong; Zhe-Xuan Gong; Alexey V. Gorshkov; Andrew Lucas

In quantum many-body systems with local interactions, quantum information and entanglement cannot spread outside of a , which expands at an emergent velocity analogous to the speed of light. Local operations at sufficiently separated spacetime points approximately commute—given a many-body state |ψ⟩, 𝒪x(t)𝒪y|ψ⟩≈𝒪y𝒪x(t)|ψ⟩ with arbitrarily small errors—so long as |x−y|≳vt, where v is finite. Yet most non-relativistic physical systems realized in nature have long-range interactions: two degrees of freedom separated by a distance r interact with potential energy V(r)∝1/rα. In systems with long-range interactions, we rigorously establish a : at the same α, some quantum information processing tasks are constrained by a linear light cone while others are not. In one spatial dimension, this linear light cone exists for every many-body state |ψ⟩ when α>3 (Lieb-Robinson light cone); for a typical state |ψ⟩ chosen uniformly at random from the Hilbert space when α>52 (Frobenius light cone); for every state of a non-interacting system when α>2 (free light cone). These bounds apply to time-dependent systems and are optimal up to subalgebraic improvements. Our theorems regarding the Lieb-Robinson and free light cones—and their tightness—also generalize to arbitrary dimensions. We discuss the implications of our bounds on the growth of connected correlators and of topological order, the clustering of correlations in gapped systems, and the digital simulation of systems with long-range interactions. In addition, we show that universal quantum state transfer, as well as many-body quantum chaos, are bounded by the Frobenius light cone, and therefore are poorly constrained by all Lieb-Robinson bounds.
更新日期:2020-07-03

 

全部期刊列表>>
胸部和胸部成像专题
自然科研论文编辑服务
ACS ES&T Engineering
ACS ES&T Water
屿渡论文,编辑服务
鲁照永
华东师范大学
苏州大学
南京工业大学
南开大学
中科大
唐勇
跟Nature、Science文章学绘图
隐藏1h前已浏览文章
中洪博元
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
x-mol收录
广东实验室
南京大学
王杰
南科大
刘尊峰
湖南大学
清华大学
王小野
中山大学化学工程与技术学院
试剂库存
天合科研
down
wechat
bug