Information diagrams in the study of entanglement in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin-Meshkov-Glick D-level atom models

被引：2

作者：

Guerrero, Julio ^{[1
,2
]}

Mayorgas, Alberto ^{[3
]}

Calixto, Manuel ^{[2
,3
]}

机构：

[1] Univ Jaen, Dept Math, Campus Lagunillas S-N, Jaen 23071, Spain

[2] Univ Granada, Inst Carlos I Theoret & Computat Phys iC1, Fuentenueva S-N, Granada 18071, Spain

[3] Univ Granada, Dept Appl Math, Fuentenueva S-N, Granada 18071, Spain

来源：

QUANTUM INFORMATION PROCESSING | 2022年 / 21卷 / 06期

关键词：

Information diagrams; Entanglement entropies; Symmetric quDits; Parity adapted coherent states; Quantum phase transitions; Many-body systems; Parity adapted states; COHERENT STATES; ENTROPY; CHAOS;

D O I：

10.1007/s11128-022-03524-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we pursue the use of information measures (in particular, information diagrams) for the study of entanglement in symmetric multi-quDit systems. We use generalizations to U( D) of spin U(2) coherent states and their adaptation to parity (multicomponent Schrodinger cats), and we analyse one- and two-quDit reduced density matrices. We use these correlation measures to characterize quantum phase transitions occurring in Lipkin-Meshkov-Glick models of D = 3-level identical atoms, and we propose the rank of the corresponding reduced density matrix as a discrete order parameter.

引用

页数：21

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