title: Replica exchange molecular dynamics optimization of tensor network states for quantum many-body systems.
abstract: Tensor network states (TNS) methods combined with the Monte Carlo (MC) technique have been proven a powerful algorithm for simulating quantum many-body systems. However, because the ground state energy is a highly non-linear function of the tensors, it is easy to get stuck in local minima when optimizing the TNS of the simulated physical systems. To overcome this difficulty, we introduce a replica-exchange molecular dynamics optimization algorithm to obtain the TNS ground state, based on the MC sampling technique, by mapping the energy function of the TNS to that of a classical mechanical system. The method is expected to effectively avoid local minima. We make benchmark tests on a 1D Hubbard model based on matrix product states (MPS) and a Heisenberg J1-J2 model on square lattice based on string bond states (SBS). The results show that the optimization method is robust and efficient compared to the existing results.
authors: Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, People's Republic of China. Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors: Wenyuan
authors: W
authors: Liu
authors: Chao
authors: C
authors: Wang
authors: Yanbin
authors: Y
authors: Li
authors: Yuyang
authors: Y
authors: Lao
authors: Yongjian
authors: Y
authors: Han
authors: Guang-Can
authors: GC
authors: Guo
authors: Yong-Hua
authors: YH
authors: Zhao
authors: Lixin
authors: L
authors: He