Work

Loop update for infinite projected entangled-pair states in two spatial dimensions

Year: 2020

Type: article

Abstract: We propose an improved approach to carry out the imaginary time evolution of infinite projected entangled-pair states, especially for systems with criticality. A cyclic optimal truncation is introduced to update the tensors along a closed loop, aiming to remove the redundant internal correlations. We demonstrate the algorithm by considering an elaborate evolution based on a simple update on a small plaquette. This scheme can also be applied to a full update strategy. We demonstrate their performances on simulating the ground states of the spin-$1/2$ antiferromagnetic Heisenberg model and the transverse field Ising model on a square lattice.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.102.075147

Authors: Yi Zheng, Shuo Yang

Institutions: State Key Laboratory of Low-Dimensional Quantum Physics, Tsinghua University, Beijing Academy of Quantum Information Sciences

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, State Key Laboratory of Low-Dimensional Quantum Physics, National Key Research and Development Program of China

Awards: G3799233354, G5612708142, G6933404333