MANY-BODY EFFECTS IN NON-HERMITIAN MATTER

Abstract

Non-Hermitian physics has given rise to a variety of intriguing phenomena. In this oral presentation, I will build upon prior studies of non-Hermitian physics in non-interacting systems to delve into the rich landscape of many-body effects in non-Hermitian settings. First, we investigated the non-Hermitian skin effect under interactions and introduce the novel concept of the non-Hermitian skin cluster. These clusters differ from the established non-Hermitian skin modes, which exhibit unique skin localizations in the Hilbert space.

Then, we delve into the non-Hermitian many-body effect in phase transitions and focus on non-unitary phase transitions related to Yang-Lee edge singularities. Here, we develop a protocol for observing such transitions, proposing its realization with Rydberg arrays. Moreover, we develop a framework to execute non-unitary processes on modern quantum computers. We illustrate its efficacy by demonstrating ground-state preparation. We further expand our framework to simulate non-unitary dynamics on quantum computers.