BIMSA > YMSC-BIMSA Quantum Information Seminar 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
Zhengwei Liu
Speaker
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.
Speaker Intro
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.