Quantum steering in a PT-symmetric system of three cavities with a linear coupling between the active and passive cavities

A system of three cavities connected by linear coupling is considered in which the coupling between the active and passive cavities is much weaker than the others. We show the dependence of the phase transition point of PT-symmetry on parameters characterizing our system. The generation of quantum steering is also investigated by using steering parameter calculations that show the steering ability of subsystems. We show that in the unbroken phase of PT-symmetry, quantum steering between subsystems of each pair can be one-way or two-way steering depending on the respective gain and loss of energy in the active and passive cavities. We also point out that the steering abilities of subsystems in our system are dependent on the initial states of the system which are set up with one photon in the active cavity or the passive one.