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A hybrid method integrating Green's function Monte Carlo and projected entangled pair states
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A hybrid method integrating Green's function Monte Carlo and projected entangled pair states
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 J1-J2 Heisenberg model on a square lattice with periodic boundary con-ditions(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 109 235133(2024)].
projected entangled pair statesGreen's function Monte Carlofrustrated J1-J2 Heisenberg model
林赫羽、贺荣强、郭奕斌、卢仲毅
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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
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