Monogamy of quantum correlations in the one-dimensional anisotropic XY model

被引：7
|
作者：
Xu Shuai [1 ]
Song Xue-Ke [1 ]
Ye Liu [1 ]
机构：
[1] Anhui Univ, Sch Phys & Mat Sci, Hefei 230039, Peoples R China
来源：
CHINESE PHYSICS B | 2014年 / 23卷 / 01期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
monogamy relation; geometric quantum discord; entanglement of formation; entropy quantum discord; ENTANGLEMENT; STATE;
D O I：
10.1088/1674-1056/23/1/010302
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the monogamy properties of some quantum correlations, including the geometric quantum discord, concurrence, entanglement of formation and entropy quantum discord, in the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii-Moriya (DM) interaction have been investigated using the quantum renormalization group (QRG) method. We summarize the monogamy relation for different quantum correlation measures and make an explicit comparison. Through mathematical calculations and analysis, we obtain that no matter whether the QRG steps are carried out, the monogamy of the given states are always unaltered. Moreover, we conclude that the geometric quantum discord and concurrence obey the monogamy property while other quantum correlation measures, such as entanglement of formation and quantum discord, violate it for this given model.
引用
收藏
页数：6
相关论文
共 50 条
  • [21] DIMERIZATION IN THE MAGNETOSTRICTIVE ONE-DIMENSIONAL XY MODEL
    LIMA, RAT
    TSALLIS, C
    SOLID STATE COMMUNICATIONS, 1981, 40 (02) : 155 - 160
  • [22] XY-model on the one-dimensional superlattice
    UFCe, Ceara, Brazil
    J Magn Magn Mater, pt 3 (1606-1608):
  • [23] GROUND-STATE PROPERTIES OF A ONE-DIMENSIONAL FRUSTRATED QUANTUM XY MODEL
    SEN, P
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1992, 186 (1-2) : 306 - 313
  • [24] Quantum correlations in one-dimensional Wigner molecules
    Przemysław Kościk
    The European Physical Journal D, 2017, 71
  • [25] Quantum correlations in one-dimensional Wigner molecules
    Koscik, Przemyslaw
    EUROPEAN PHYSICAL JOURNAL D, 2017, 71 (11):
  • [26] Correlations in a one-dimensional hysteresis model
    Kimball, JC
    Frisch, HL
    Senapati, L
    PHYSICA A, 2000, 279 (1-4): : 151 - 158
  • [27] Critical point estimation and long-range behavior in the one-dimensional XY model using thermal quantum and total correlations
    Cakmak, B.
    Karpat, G.
    Gedik, Z.
    PHYSICS LETTERS A, 2012, 376 (45) : 2982 - 2988
  • [28] Quantum phase transitions of one-dimensional period-two anisotropic XY models in a transverse field
    Song Jia-Li
    Zhong Ming
    Tong Pei-Qing
    ACTA PHYSICA SINICA, 2017, 66 (18)
  • [29] Realization of the one-dimensional anisotropic XY model in a Tb(III)-W(V) chain compound
    Pasca, Edoardo
    Roscilde, Tommaso
    Evangelisti, Marco
    Burzuri, Enrique
    Luis, Fernando
    de Jongh, L. Jos
    Tanase, Stefania
    PHYSICAL REVIEW B, 2012, 85 (18)
  • [30] Incommensurate spin-Peierls phases in the one-dimensional quantum isotropic XY model
    Derzhko, O
    Krokhmalskii, T
    FERROELECTRICS, 2001, 250 (1-4) : 397 - 400
12345