Generalized Lanczos method for systematic optimization of tensor network states<xref rid="cpb_27_7_070501fn1" ref-type="fn">*</xref><fn id="cpb_27_7_070501fn1"> <label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11190024 and 11474331).</p> </fn>

Generalized Lanczos method for systematic optimization of tensor network states* *

Project supported by the National Natural Science Foundation of China (Grant Nos. 11190024 and 11474331).

Huang Rui-Zhen^{1, 2}, Liao Hai-Jun¹, Liu Zhi-Yuan^{2, 3}, Xie Hai-Dong^{1, 2}, Xie Zhi-Yuan⁴, Zhao Hui-Hai^{5, 6, 7}, Chen Jing^{1, 2}, Xiang Tao^{1, 2, 8, †}

(color online) Comparison of the correlation function ⟨S_iS_j⟩ and the entanglement entropy S(n) obtained by the TNS-Lanczos with those obtained by the DMRG method for the open antiferromagnetic Heisenberg spin chain with L = 98. (a) ⟨S_iS_j⟩ versus distance r_ij = |r_i − r_j|, where r_i is at site 20, r_j runs from site 20 to site 98. (b) Entanglement entropy S(n) versus n.