Program Results

Introduction to the event

We use exact numerical simulation to study the non-Hermitian quantum effects on one-dimensional many-body localized systems. The community used to focus on the level statistics of the system and use the information as a defining signal for different phases and identify the phase transitions. In this collaboration, we emphasize that the many-body wave function in non-Hermitian systems has unique properties that are different from the conventional Hermitian quantum system. We focused on the influence of the boundary condition on the many-body wave function and found the competing effects between the boundary condition and the localization nature of the wave functions.

Through this work, we realize the current studies of non-Hermitian systems are based on the formal mathematical analogy or interpretation of numerical results. The physical interpretation of the corresponding wave function is still at its infant stage. Therefore, the understanding of the wave functions in non-Hermitian systems will be the focus of future works.

 Professor Huang interacted with on-site students at CTC(Center of Theory and Computation) Summer School .