Parity-Time-Anyonic Coupled Resonators System With Tunable Exceptional Points

The Hermiticity of physical observable is the fundamental axioms in quantum mechanics. However, it is found that several non-Hermitian Hamiltonian still have real eigenvalues, especially the parity-time symmetric system. The property of parity-time symmetry leads the system to various nontrivial physics with interesting counterintuitive features around the exceptional point. In this study, we investigate the dynamics of parity-time-anyonic Hamiltonian under the tunable exceptional points related to an arbitrary phase of the system. We show that the parity-time symmetry can be achieved in a quasi-parity-time-symmetric system. Also the phase dependence symmetry is discussed based on the simulated results.