We propose a new form for the quantum master equation in the theory of open
    quantum systems. This new formalism allows one to describe the dynamics of
    two-level systems moving along different hyperbolic trajectories with distinct
    proper times. In the Born-Markov approximation, we consider a quantum massless
    scalar field coupled with two-level systems. Starting from a separable state we
    show the emergence of entanglement harvesting. For different proper
    accelerations we verify also the entanglement sudden death.

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