The anyonic recovery of parity-time symmetry in coupled circuits system

Hermiticity is the fundamental property of the physical systems, for which it should obey the laws of energy conservation and time-reversal symmetry. Parity-time symmetry is introduced to study the non-Hermitian system with real energy spectra. Considering the coupling dissipation of the practical system, there would be phase-related terms on the non-diagonal elements of the Hermitian matrix. Here in this work, we present a coupled circuit model of the system and investigate the dynamics of parity-time-anyonic Hamiltonian related to an arbitrary phase of the system. We find that parity-time symmetry can be achieved under the tunable phases in the quasi-parity-time symmetric circuit system.