Tensor Renormalization of Quantum Many-Body Systems Using Projected Entangled Simplex States

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	Tensor Renormalization of Quantum Many-Body Systems Using Projected Entangled Simplex States
	Xie, ZY ; Chen, J ; Yu, JF ; Kong, X ; Normand, B ; Xiang, T
刊名	PHYSICAL REVIEW X
	2014
卷号	4 期号:1
ISSN号	2160-3308
通讯作者	Xie, ZY (reprint author), Chinese Acad Sci, Inst Phys, POB 603, Beijing 100190, Peoples R China.
中文摘要	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 upper bounds yet estimated for this quantity.
资助信息	National Natural Science Foundation of China [10934008, 10874215, 11174365]; National Basic Research Program of China [2012CB921704, 2011CB309703]
语种	英语
公开日期	2015-04-14
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/59603]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Xie, ZY,Chen, J,Yu, JF,et al. Tensor Renormalization of Quantum Many-Body Systems Using Projected Entangled Simplex States[J]. PHYSICAL REVIEW X,2014,4(1).
APA	Xie, ZY,Chen, J,Yu, JF,Kong, X,Normand, B,&Xiang, T.(2014).Tensor Renormalization of Quantum Many-Body Systems Using Projected Entangled Simplex States.PHYSICAL REVIEW X,4(1).
MLA	Xie, ZY,et al."Tensor Renormalization of Quantum Many-Body Systems Using Projected Entangled Simplex States".PHYSICAL REVIEW X 4.1(2014).