BIMSA > YMSC-BIMSA Quantum Information Seminar Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
Organizer
Zheng Wei Liu
Speaker
(Tsinghua) Shuo Yang
Time
Friday, March 24, 2023 9:30 AM - 10:30 AM
Venue
JCY-1
Online
Tencent 494 8360 9451 (2023)
Abstract
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.