An efficient implementation of the hierarchical mean-field theory with large block

被引：2
|
作者：
Qin, Jingbo [1 ]
Jie, Quanlin [1 ]
Fan, Zhuo [1 ]
机构：
[1] Wuhan Univ, Dept Phys, Wuhan 430072, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL B | 2014年 / 87卷 / 12期
基金：
美国国家科学基金会;
关键词：
DENSITY-MATRIX RENORMALIZATION; 2-DIMENSIONAL HEISENBERG-MODEL; MONTE-CARLO SIMULATIONS; SQUARE LATTICE; SPIN SYSTEMS; QUANTUM; ANTIFERROMAGNET;
D O I：
10.1140/epjb/e2014-50054-0
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
We present an efficient implementation of the hierarchical mean-field theory with large block in quantum spin systems. The wave function is a product of the large block states. Each large block state is a superposition of products of small block states. Our result is very close to that of the hierarchical mean-field in a numerical cost effective way. We test our method on a frustrated spin lattice.
引用
收藏
页数：8
相关论文
共 50 条
  • [41] MEAN-FIELD THEORY OF A NEURAL NETWORK
    COOPER, LN
    SCOFIELD, CL
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1988, 85 (06) : 1973 - 1977
  • [42] MEAN-FIELD THEORY FOR OPTIMIZATION PROBLEMS
    ORLAND, H
    JOURNAL DE PHYSIQUE LETTRES, 1985, 46 (17): : L763 - L770
  • [43] MEAN-FIELD THEORY OF DEHYDRATION TRANSITIONS
    LEIKIN, S
    KORNYSHEV, AA
    PHYSICAL REVIEW A, 1991, 44 (02): : 1156 - 1168
  • [44] Mean-field theory of social laser
    Alexander P. Alodjants
    A. Yu. Bazhenov
    A. Yu. Khrennikov
    A. V. Bukhanovsky
    Scientific Reports, 12
  • [45] Mean-field theory for batched TD(λ)
    Pineda, Fernando J.
    Neural Computation, 1997, 9 (07):
  • [46] A mean-field theory of cellular growth
    Mombach, JCM
    Lemke, N
    Bodmann, BEJ
    Idiart, MAP
    EUROPHYSICS LETTERS, 2002, 59 (06): : 923 - 928
  • [47] A MEAN-FIELD THEORY OF SUSPENSION VISCOSITY
    ALTENBERGER, AR
    DAHLER, JS
    TIRRELL, MV
    MACROMOLECULES, 1985, 18 (12) : 2752 - 2755
  • [48] Mean-field theory of social laser
    Alodjants, Alexander P.
    Bazhenov, A. Yu
    Khrennikov, A. Yu
    Bukhanovsky, A., V
    SCIENTIFIC REPORTS, 2022, 12 (01)
  • [49] Spin Chain in Magnetic Field: Limitations of the Large-N Mean-Field Theory
    Wohlfeld, K.
    Chen, Cheng-Chien
    van Veenendaal, M.
    Devereaux, T. P.
    ACTA PHYSICA POLONICA A, 2015, 127 (02) : 201 - 203
  • [50] Hierarchical Mean-Field Deep Reinforcement Learning for Large-Scale Multiagent Systems
    Yu, Chao
    THIRTY-SEVENTH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE, VOL 37 NO 10, 2023, : 11744 - 11752
12345