Energy and multipartite entanglement in multidimensional and frustrated spin models

被引：47

作者：

Guehne, Otfried ^{[1
]}

Toth, Geza

机构：

[1] Austrian Acad Sci, Inst Quantenopt & Quanteninformat, A-6020 Innsbruck, Austria

[2] Max Planck Inst Quantum Opt, D-85748 Garching, Germany

[3] Hungarian Acad Sci, Res Inst Solid State Phys & Opt, H-1525 Budapest, Hungary

来源：

PHYSICAL REVIEW A | 2006年 / 73卷 / 05期

关键词：

D O I：

10.1103/PhysRevA.73.052319

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate the relation between the entanglement properties of a quantum state and its energy for macroscopic spin models. To this aim, we develop a general method to compute energy bounds for states without certain forms of multipartite entanglement. Violation of these bounds implies the presence of these types of multipartite entanglement. As examples, we investigate the Heisenberg model in different dimensions, the Ising model and the XX model in the presence of a magnetic field. Finally, by studying the Heisenberg model on a triangular lattice, we demonstrate that our techniques can be applied also to frustrated systems.

引用

页数：9

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