Lieb-Robinson Light Cone for Power-Law Interactions

被引：57

作者：

Tran, Minh C. ^{[1
,2
]}

Guo, Andrew Y. ^{[1
,2
]}

Baldwin, Christopher L. ^{[1
,2
]}

Ehrenberg, Adam ^{[1
,2
]}

Gorshkov, Alexey, V ^{[1
,2
]}

Lucas, Andrew ^{[3
,4
]}

机构：

[1] Univ Maryland, Joint Ctr Quantum Informat & Comp Sci, NIST, College Pk, MD 20742 USA

[2] Univ Maryland, Joint Quantum Inst, NIST, College Pk, MD 20742 USA

[3] Univ Colorado, Dept Phys, Boulder, CO 80309 USA

[4] Univ Colorado, Ctr Theory Quantum Matter, Boulder, CO 80309 USA

来源：

PHYSICAL REVIEW LETTERS | 2021年 / 127卷 / 16期

关键词：

QUANTUM; BOUNDS;

D O I：

10.1103/PhysRevLett.127.160401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Lieb-Robinson theorem states that information propagates with a finite velocity in quantum systems on a lattice with nearest-neighbor interactions. What are the speed limits on information propagation in quantum systems with power-law interactions, which decay as 1/r(a) at distance r? Here, we present a definitive answer to this question for all exponents a > 2d and all spatial dimensions d. Schematically, information takes time at least r(min{1,a-2d}) to propagate a distance r. As recent state transfer protocols saturate this bound, our work closes a decades-long hunt for optimal Lieb-Robinson bounds on quantum information dynamics with power-law interactions.

引用

页数：6

共 32 条

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