A hybrid method integrating Green's function Monte Carlo and projected entangled pair states  

作　　者：He-Yu Lin Rong-Qiang He Yibin Guo Zhong-Yi Lu 林赫羽;贺荣强;郭奕斌;卢仲毅(Department of Physics,Renmin University of China,Beijing 100872,China;Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education),Renmin University of China,Beijing 100872,China;CQTA,Deutsches Elektronen-Synchrotron DESY,Platanenallee 6,15738 Zeuthen,Germany;Hefei National Laboratory,Hefei 230088,China)

机构地区：[1]Department of Physics,Renmin University of China,Beijing 100872,China [2]Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education),Renmin University of China,Beijing 100872,China [3]CQTA,Deutsches Elektronen-Synchrotron DESY,Platanenallee 6,15738 Zeuthen,Germany [4]Hefei National Laboratory,Hefei 230088,China

出　　处：《Chinese Physics B》2024年第11期75-81,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11934020);the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302402).

摘　　要：This paper introduces a hybrid approach combining Green’s function Monte Carlo(GFMC)method with projected entangled pair state(PEPS)ansatz.This hybrid method regards PEPS as a trial state and a guiding wave function in GFMC.By leveraging PEPS’s proficiency in capturing quantum state entanglement and GFMC’s efficient parallel architecture,the hybrid method is well-suited for the accurate and efficient treatment of frustrated quantum spin systems.As a benchmark,we applied this approach to study the frustrated J_(1)–J_(2) Heisenberg model on a square lattice with periodic boundary conditions(PBCs).Compared with other numerical methods,our approach integrating PEPS and GFMC shows competitive accuracy in the performance of ground-state energy.This paper provides systematic and comprehensive discussion of the approach of our previous work[Phys.Rev.B 109235133(2024)].

关 键 词：projected entangled pair states Green’s function Monte Carlo frustrated J_(1)-J_(2)Heisenberg model 

分 类 号：O413[理学—理论物理]