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Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States

发布日期:2023-02-20 作者: 编辑: 来源:兰州理论物理中心

主讲人:杨硕 副教授(清华大学)

题目:Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States

时间:2023年02月22日(周三)下午15:00

腾讯会议ID:418 579 258

地点:理工楼1226报告厅

联系人:赵继泽

报告摘要:

Standard research strategies for non-Hermitian systems include using the single-particle paradigm and incorporating non-Hermitian terms into existing Hermitian Hamiltonians. It can be challenging to directly design non-Hermitian many-body models that exhibit unique features not found in Hermitian systems. In this Letter, we propose a new method to construct non-Hermitian many-body systems by generalizing the parent Hamiltonian method into non-Hermitian regimes. This allows us to build a local Hamiltonian using given matrix product states as its left and right ground states. We demonstrate this method by constructing a non-Hermitian spin-1 model from the asymmetric Affleck-Kennedy-Lieb-Tasaki (AKLT) state, which preserves both chiral order and symmetry-protected topological order. Our approach opens up a new paradigm for systematically constructing and studying non-Hermitian many-body systems, providing guiding principles to explore new properties and phenomena in non-Hermitian physics.

arXiv: 2301.12448

个人简介:

杨硕,女,2006年本科毕业于南开大学,2010年博士毕业于中国科学院理论物理研究所。2010年至2017年先后于美国马里兰大学帕克分校、德国马克思普朗克量子光学研究所、加拿大圆周理论物理研究所做博士后研究。2017年9月加入清华大学物理系,目前任副教授。主要从事凝聚态理论和量子物理方面的研究工作,主要研究方向为张量网络的理论与算法、拓扑量子态、凝聚态与量子信息的交叉。


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