How the Unruh effect affects transition between classical and quantum decoherences

We investigate how the Unruh effect affects the transition between classical and quantum decoherences for a general class of initial states and find that: $(i)$ The quantum decoherence exists while $λt\leqλ\widetilde{t}$ (the transition time) and the classical one can also affect the system's evolution while $λt\geqλ\widetilde{t}$ for both the bit and phase-bit flips, which are different from the cases in inertial frame; $(ii)$ The classical correlations will be different constants corresponding to different Unruh temperature and the quantum decoherence still dominates the evolution of system as $λt\geqλ\widetilde{t}$ for the phase flip; And $(iii)$ as the Unruh temperature increases, the $λ\widetilde{t}$, compared with that in inertial frame, will be bigger for phase flip but smaller for bit flip. However, the $λ\widetilde{t}$ does not change no matter what the Unruh effect is for phase-bit flip.

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