Quantum entanglement and quantum phase transitions in anisotropic two- and three-particle spin-1 Heisenberg clusters

被引:2
作者
Abgaryan, V. S. [1 ]
机构
[1] Joint Inst Nucl Res, Bogolyubov Lab Theoret Phys, Dubna, Russia
关键词
quantum entanglement; quantum phase transitions; Heisenberg model;
D O I
10.3103/S1068337214060024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
General polynomial case of Heisenberg model for spin-1 two- and three-particle clusters is considered on matter of quantum entanglement and its evolution under quantum phase transitions induced by changes of external parameters. Influence of anisotropy parameter on the phase structure and quantum entanglement is studied. The thermal evolution of quantum entanglement is also studied. Some similarities of ground state structures and phase diagrams of quantum entanglement in different planes of external parameters are considered.
引用
收藏
页码:249 / 257
页数:9
相关论文
共 25 条
[1]   Phase transitions and entanglement properties in spin-1 Heisenberg clusters with single-ion anisotropy [J].
Abgaryan, V. S. ;
Ananikian, N. S. ;
Ananikyan, L. N. ;
Kocharian, A. N. .
PHYSICA SCRIPTA, 2011, 83 (05)
[2]   The phase structure of the antiferromagnetic Ising model in the presence of frustrations [J].
Akheyan, AZ ;
Ananikian, NS ;
Dallakian, SK .
PHYSICS LETTERS A, 1998, 242 (1-2) :111-114
[3]   Entanglement in many-body systems [J].
Amico, Luigi ;
Fazio, Rosario ;
Osterloh, Andreas ;
Vedral, Vlatko .
REVIEWS OF MODERN PHYSICS, 2008, 80 (02) :517-576
[4]   Magnetization and Lyapunov exponents on a kagome chain with multi-site exchange interaction [J].
Ananikian, N. ;
Ananikyan, L. ;
Artuso, R. ;
Lazaryan, H. .
PHYSICS LETTERS A, 2010, 374 (40) :4084-4089
[5]   Chaotic repellers in the antiferromagnetic ising model [J].
Ananikian, NS ;
Dallakian, SK ;
Izmailian, NS ;
Oganessyan, KA .
PHYSICS LETTERS A, 1996, 214 (3-4) :205-210
[6]   Natural thermal and magnetic entanglement in the 1D Heisenberg model [J].
Arnesen, MC ;
Bose, S ;
Vedral, V .
PHYSICAL REVIEW LETTERS, 2001, 87 (01)
[7]   THEORY OF SUPERCONDUCTIVITY [J].
BARDEEN, J ;
COOPER, LN ;
SCHRIEFFER, JR .
PHYSICAL REVIEW, 1957, 108 (05) :1175-1204
[8]   Metal theory [J].
Bethe, H. .
ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :205-226
[9]   Ultracold quantum gases in optical lattices [J].
Bloch, I .
NATURE PHYSICS, 2005, 1 (01) :23-30
[10]   Criticality without Frustration for Quantum Spin-1 Chains [J].
Bravyi, Sergey ;
Caha, Libor ;
Movassagh, Ramis ;
Nagaj, Daniel ;
Shor, Peter W. .
PHYSICAL REVIEW LETTERS, 2012, 109 (20)