Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States

Time:2023-03-24 Fri 09:30-10:30

Venue:Venue: 近春园西楼第一会议室 Tencent: 494 8360 9451

Organizer:Zhengwei Liu

Speaker:Shuo Yang Tsinghua University


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-Tasakistate, 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.

DATEMarch 24, 2023
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