Decoherence of Einstein–Podolsky–Rosen steering and the teleportation fidelity in the dynamical Casimir effect

We investigate the dissipative evolution of the Einstein–Podolsky–Rosen steering and the teleportation fidelity of the dynamical Casimir radiations in the thermal equilibrium environments. We consider two kinds of thermal equilibrium environments. One is the initial environments of the samples which produced the nonclassical dynamical Casimir radiations. The other is the thermal equilibrium environments in the transmission lines which are coupled to a low-noise amplifier of low temperature. In this paper, we observe that a high temperature of the environments results in a faster decoherence of steering and fidelity. The large detuning will accelerate the sudden death of one-way steering from Bob to Alice and fidelity, or vice versa. Moreover, we observe that if most of the damping is placed on Bob, the decoherence of one-way steering from Alice to Bob will be faster, while the one-way steering from Bob to Alice and fidelity are the opposite. However, when most of the thermal noise is placed on Alice in the transmission lines, the steering and fidelity are the most insensitive. It shows that it is important to choose the suitable asymmetric noise channel to protect the directional Einstein–Podolsky–Rosen steering.