BIMSA > YMSC-BIMSA量子信息讨论班 Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
组织者
刘正伟
演讲者
杨硕
时间
2023年03月24日 09:30 至 10:30
地点
JCY-1
线上
Tencent 494 8360 9451 (2023)
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 talk, we introduce 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.