NUMERICAL STUDIES OF ENTANGLEMENT PROPERTIES IN ONE- AND TWO-DIMENSIONAL QUANTUM ISING AND XXZ MODELS

被引：3

作者：

Braiorr-Orrs, B. ^{[1
]}

Weyrauch, M. ^{[1
]}

Rakov, M. V. ^{[2
]}

机构：

[1] Phys Tech Bundesanstalt, Bundesallee 100, D-38116 Braunschweig, Germany

[2] Kyiv Natl Taras Shevchenko Univ, Fac Phys, 64-13 Volodymyrska Str, UA-01601 Kiev, Ukraine

来源：

UKRAINIAN JOURNAL OF PHYSICS | 2016年 / 61卷 / 07期

关键词：

quantum phase transitions; quantum entanglement; tensor networks;

D O I：

10.15407/ujpe61.07.0613

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate entanglement properties of infinite one-and two-dimensional spin-1/2 quantum Ising and XXZ models. Tensor network methods (TI MPS with single-site update and TEBD for MPS, TERG and CTMRG with "simple update" for PEPS) are used to model the ground states of the studied models. Different entanglement measures, such as the one-site entanglement entropy, one-tangle, concurrence of formation and assistance, negativity and entanglement per bond are compared with respect to their ability to exhibit "structures" in the phase diagram of the models (e.g., phase transitions). We study the connection between symmetries and the entanglement of ground states and analyze short-and long-range entanglement through the entanglement monogamy.

引用

页码：613 / 626

页数：14

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