Entanglement, correlations, and the energy gap in many-body quantum systems

被引：28

作者：

Haselgrove, HL ^{[1
]}

Nielsen, MA

Osborne, TJ

机构：

[1] Univ Queensland, Sch Phys Sci, Brisbane, Qld 4072, Australia

[2] CALTECH, Inst Quantum Informat, Pasadena, CA 91125 USA

[3] Def Sci & Technol Org, Informat Sci Lab, Edinburgh 5111, Australia

[4] Univ Queensland, Sch Informat Technol & Elect Engn, Brisbane, Qld 4072, Australia

[5] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

来源：

PHYSICAL REVIEW A | 2004年 / 69卷 / 03期

关键词：

D O I：

10.1103/PhysRevA.69.032303

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

What correlations are present in the ground state of a many-body Hamiltonian? We study the relationship between ground-state correlations, especially entanglement, and the energy gap between the ground and first excited states. We prove several general inequalities which show quantitatively that ground-state correlations between systems not directly coupled by the Hamiltonian necessarily imply a small energy gap.

引用

页码：032303 / 1

页数：11

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