How the Unruh effect affects transition between classical and quantum decoherences

TL;DR

This paper explores how the Unruh effect influences the transition from quantum to classical decoherence in quantum systems, revealing temperature-dependent effects on correlation dynamics and transition times.

Contribution

It provides a detailed analysis of the Unruh effect's impact on decoherence transitions for various initial states and noise channels, highlighting temperature-dependent behaviors.

Findings

Quantum decoherence occurs before the transition time in the Unruh frame.

Classical correlations are affected by Unruh temperature and differ for various noise channels.

Transition times vary with Unruh temperature, increasing for phase flips and decreasing for bit flips.

Abstract

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 $\lambda t\leq\lambda \widetilde{t}$ (the transition time) and the classical one can also affect the system's evolution while $\lambda t\geq\lambda\widetilde{t}$ 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 $\lambda t\geq\lambda\widetilde{t}$ for the phase flip; And $(iii)$ as the Unruh temperature increases, the $\lambda\widetilde{t}$, compared with that in inertial frame, will be bigger for phase flip but smaller for bit flip. However, the $\lambda\widetilde{t}$ does not change no matter what the Unruh effect is for phase-bit flip.