北京雁栖湖应用数学研究院

刘正伟

杨硕

2023年03月24日 09:30 至 10:30

JCY-1

Tencent 494 8360 9451 (2023)

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.

Shuo Yang received her B.S. degree in physics from Nankai University in 2006 and her Ph.D.in theoretical physics from the Institute of Theoretical Physics, Chinese Academy of Sciences in2010. From 2010 to 2017, she conducted postdoctoral research at the University of Maryland,College Park, the Max Planck Institute for Quantum Optics, and the Perimeter Institute forTheoretical Physics. She joined the Department of Physics at Tsinghua University in 2017 and waspromoted to associate professor in 2019. Her main research directions are condensed matter theoryand quantum physics, including tensor networks, topological states of matter, and the interplaybetween condensed matter physics and quantum information.