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⩽λt˜ (the transition time) and the classical one can also affect the systemʼs evolution while λt⩾λt˜ for both the bit and phase-bit flips, which are different from the cases in inertial frame; (ii) The classical decoherence will not occur, while the quantum decoherence still dominates the evolution of system as λt⩾λt˜ for the phase flip; And (iii) as the Unruh temperature increases, the λt˜, compared with that in inertial frame, will be bigger for phase flip but smaller for bit flip. However, the λt˜ does not change no matter what the Unruh temperature is for phase-bit flip.