Neural-Network Quantum State of Transverse-Field Ising Model *

Han-Qing Shi,Xiao-Yue Sun,Ding-Fang Zeng

Fig. 2 (Color online) The ground state energy $E/N$ of TFIM in one-dimensional 32-site spin-chain (a) and two-dimensional (b) $10\times10$-site lattice as functions of the external field-strength. The red, green and blue points in the left figure are for network parameters $\alpha=1,2,4$. They are displaced from each other artificially otherwise coincide almost exactly. The dashed line is the analytic result of Ref. [22]. While the two-dimensional result is compared with the real space renormalization group analysis of Ref. [31].