Information retrieval and criticality in high-dimensional parity-time-symmetric systems

Recently, impressive progress has been made in the study of non-Hermitian systems with parity-time symmetry, such as observations topological properties physical and criticality at exceptional points. A crucial aspect symmetric nonunitary dynamics is information flow between system environment. In this paper, we use quantity, distinguishability quantum states, to uniformly quantify low-dimensional high-dimensional environments. The numerical results show that oscillation state complete retrieval can be obtained parity-time-unbroken phase. However, decays exponentially parity-time-broken point marks reversibility irreversibility flow, states exhibits behavior power-law decay. Understanding these unique phenomena provides an important perspective for open contributes their application information.