Tensor Renormalization of Quantum Many-Body Systems Using Projected Entangled Simplex States
作者: Z. Y. XieJ. ChenJ. F. YuX. KongB. NormandT. Xiang
刊名: Physical Review X, 2014, Vol.4 (1)
来源数据库: Directory of Open Access Journals
DOI: 10.1103/PhysRevX.4.011025
原始语种摘要: We propose a new class of tensor-network states, which we name projected entangled simplex states (PESS), for studying the ground-state properties of quantum lattice models. These states extend the pair-correlation basis of projected entangled pair states to a simplex. PESS are exact representations of the simplex solid states, and they provide an efficient trial wave function that satisfies the area law of entanglement entropy. We introduce a simple update method for evaluating the PESS wave function based on imaginary-time evolution and the higher-order singular-value decomposition of tensors. By applying this method to the spin-1/2 antiferromagnetic Heisenberg model on the kagome lattice, we obtain accurate and systematic results for the ground-state energy, which approach the lowest...
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  • applying 施加
  • decomposition 分解
  • bounds 界限
  • entropy 平均信息量
  • approach 
  • quantity 
  • extend 延长
  • correlation 对比
  • lattice 
  • entanglement 扭结