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Finite-size Tensor Network Approach for Frustrated Magnets, Fermi-Hubbard Model and Beyond

Date: 2024-11-25
Time: 10:00
Venue: M830
Speaker: Wen-Yuan Liu

Zhejiang University

报告摘要:

Inspired by the insight of quantum entanglement, tensor network states, such as projected entangled pair states (PEPS), have emerged as a powerful theoretical and numerical tool to characterize correlated systems. They hold the promise to resolve numerous longstanding quantum many-body problems. However, the inherent complexity of PEPS has made the development of efficient, accurate methods a major challenge in the field. In this talk, I will present our recent algorithmic and conceptual advances in PEPS methodology. First, I will introduce our work on integrating PEPS with variational Monte Carlo, and demonstrate its power in resolving the nature of various frustrated spin models. Then, I will discuss our results for the Hubbard model, demonstrating the finite PEPS approach as a practically powerful tool in the post-DMRG age for fermionic systems. Finally, I will introduce a new perspective on tensor networks----tensor network function, which expands the application of tensor networks into new, promising directions.

报告人简介:

刘文渊,2012年四川大学本科毕业,2017年中国科学技术大学博士毕业,之后在香港中文大学、香港大学和加州理工学院从事博士后研究,2024年10月加入浙江大学物理高等研究院,任研究员。长期从事张量网络等量子多体计算方法的发展,研究兴趣包括量子阻挫磁性,强关联电子体系,格点规范场论,量子模拟,机器学习等。

联系人:廖海军(82649377,navyphysics@iphy.ac.cn)

本次活动由中科院青促会物理所小组主办